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102211021200222 = 23411241130117901
BaseRepresentation
bin10111001111010111011011…
…100111000101101101011110
3111101220021111210210001020000
4113033113123213011231132
5101344111132411401342
61001215032300235130
730346334250225354
oct2717273347055536
9441807453701200
10102211021200222
112a6274a5916aa0
12b56922023baa6
1345055c513761c
141b3507b3b17d4
15bc3b2359c44c
hex5cf5db9c5b5e

102211021200222 has 160 divisors (see below), whose sum is σ = 250067451097728. Its totient is φ = 30945990600000.

The previous prime is 102211021200193. The next prime is 102211021200347. The reversal of 102211021200222 is 222002120112201.

It is a happy number.

102211021200222 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 0 + 21 + 200 + 222 = 666.

It is a super-2 number, since 2×1022110212002222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102211021200195 and 102211021200204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12936462472 + ... + 12936470372.

Almost surely, 2102211021200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211021200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125033725548864).

102211021200222 is an abundant number, since it is smaller than the sum of its proper divisors (147856429897506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102211021200222 is a wasteful number, since it uses less digits than its factorization.

102211021200222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13339 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102211021200222 its reverse (222002120112201), we get a palindrome (324213141312423).

The spelling of 102211021200222 in words is "one hundred two trillion, two hundred eleven billion, twenty-one million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 2411 3011 4822 6022 7233 7901 9033 14466 15802 18066 21699 23703 26521 27099 33121 43398 47406 53042 54198 65097 66242 71109 79563 81297 86911 99363 130194 142218 159126 162594 173822 195291 198726 213327 238689 243891 260733 298089 390582 426654 477378 487782 521466 596178 639981 716067 782199 894267 1279962 1432134 1564398 1788534 2148201 2346597 2682801 4296402 4693194 5365602 7039791 7259521 14079582 14519042 19049311 21778563 23789911 38098622 43557126 47579822 57147933 65335689 71369733 79854731 114295866 130671378 142739466 159709462 171443799 196007067 209542421 214109199 239564193 261689021 342887598 392014134 419084842 428218398 479128386 514331397 523378042 588021201 628627263 642327597 718692579 785067063 1028662794 1176042402 1257254526 1284655194 1437385158 1542994191 1570134126 1885881789 1926982791 2156077737 2355201189 3085988382 3771763578 3853965582 4312155474 4710402378 5657645367 6468233211 7065603567 11315290734 12936466422 14131207134 16972936101 21196810701 33945872202 42393621402 57357475421 114714950842 172072426263 344144852526 516217278789 630932229631 1032434557578 1261864459262 1548651836367 1892796688893 3097303672734 3785593377786 4645955509101 5678390066679 9291911018202 11356780133358 17035170200037 34070340400074 51105510600111 102211021200222