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101212022210222 = 2731199722935867
BaseRepresentation
bin10111000000110101000010…
…101000010111111010101110
3111021100202220211221012022102
4113000311002220113322232
5101231224210141211342
6555132054445015102
730214220156015000
oct2700650250277256
9437322824835272
10101212022210222
112a281860a447a0
12b427699554492
1344623393708c1
141adc98bc9a370
15ba7b54b66832
hex5c0d42a17eae

101212022210222 has 128 divisors (see below), whose sum is σ = 193453482470400. Its totient is φ = 39369811985280.

The previous prime is 101212022210213. The next prime is 101212022210237. The reversal of 101212022210222 is 222012220212101.

It is a super-2 number, since 2×1012120222102222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101212022210194 and 101212022210203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17251066133 + ... + 17251071999.

It is an arithmetic number, because the mean of its divisors is an integer number (1511355331800).

Almost surely, 2101212022210222 is an apocalyptic number.

101212022210222 is a deficient number, since it is larger than the sum of its proper divisors (92241460260178).

101212022210222 is a wasteful number, since it uses less digits than its factorization.

101212022210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101212022210222 its reverse (222012220212101), we get a palindrome (323224242422323).

The spelling of 101212022210222 in words is "one hundred one trillion, two hundred twelve billion, twenty-two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 7 11 14 22 49 77 98 154 343 539 686 997 1078 1994 2293 3773 4586 5867 6979 7546 10967 11734 13958 16051 21934 25223 32102 41069 48853 50446 64537 76769 82138 97706 112357 129074 153538 176561 224714 287483 341971 353122 451759 537383 574966 683942 786499 903518 1074766 1235927 1572998 2012381 2286121 2471854 3162313 3761681 4024762 4572242 5849399 6324626 7523362 8651489 11698798 13453031 16002847 17302978 22136191 25147331 26906062 32005694 40945793 44272382 50294662 64343389 81891586 94171217 112019929 128686778 147983341 176031317 188342434 224039858 286620551 295966682 352062634 450403723 573241102 659198519 784139503 900807446 1035883387 1232219219 1318397038 1568279006 2006343857 2071766774 2464438438 3152826061 4012687714 4614389633 6305652122 7251183709 8625534533 9228779266 13412671907 14502367418 17251069066 22069782427 26825343814 44139564854 50758285963 93888703349 101516571926 147539390977 187777406698 295078781954 657220923443 1032775736839 1314441846886 2065551473678 4600546464101 7229430157873 9201092928202 14458860315746 50606011105111 101212022210222