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1020100221222 = 231747599737181
BaseRepresentation
bin11101101100000101011…
…01100001100100100110
310121112001112112110101220
432312002231201210212
5113203131124034342
62100343320001210
7133462014546045
oct16660255414446
93545045473356
101020100221222
11363692a87675
12145851600206
137526c663874
1437531b7a55c
151b8061cc5ec
hexed82b61926

1020100221222 has 128 divisors (see below), whose sum is σ = 2266757498880. Its totient is φ = 304730849280.

The previous prime is 1020100221199. The next prime is 1020100221233. The reversal of 1020100221222 is 2221220010201.

It is a super-2 number, since 2×10201002212222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27417472 + ... + 27454652.

It is an arithmetic number, because the mean of its divisors is an integer number (17709042960).

Almost surely, 21020100221222 is an apocalyptic number.

1020100221222 is an abundant number, since it is smaller than the sum of its proper divisors (1246657277658).

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

1020100221222 is a wasteful number, since it uses less digits than its factorization.

1020100221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37406.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020100221222 its reverse (2221220010201), we get a palindrome (3241320231423).

The spelling of 1020100221222 in words is "one trillion, twenty billion, one hundred million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 34 47 51 59 94 97 102 118 141 177 194 282 291 354 582 799 1003 1598 1649 2006 2397 2773 3009 3298 4559 4794 4947 5546 5723 6018 8319 9118 9894 11446 13677 16638 17169 27354 34338 37181 47141 74362 77503 94282 97291 111543 141423 155006 194582 223086 232509 268981 282846 291873 465018 537962 583746 632077 806943 1264154 1613886 1747507 1896231 2193679 3495014 3606557 3792462 4387358 4572677 5242521 6581037 7213114 9145354 10485042 10819671 13162074 13718031 21639342 27436062 29707619 37292543 59415238 61311469 74585086 89122857 103102913 111877629 122622938 169508179 178245714 183934407 206205826 212786863 223755258 309308739 339016358 367868814 425573726 508524537 618617478 638360589 1017049074 1276721178 1752749521 2881639043 3505499042 3617376671 5258248563 5763278086 7234753342 8644917129 10000982561 10516497126 10852130013 17289834258 20001965122 21704260026 30002947683 60005895366 170016703537 340033407074 510050110611 1020100221222