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100022121111102 = 231731201115729761
BaseRepresentation
bin10110101111100000110110…
…111111111001111000111110
3111010011000120121002101221220
4112233200312333321320332
5101102230301001023402
6552421310022534210
730032234255400441
oct2657406677717076
9433130517071856
10100022121111102
1129963163883383
12b274b59b97366
1343a70790c07b8
141a9b14cabb658
15b86c11872dbc
hex5af836ff9e3e

100022121111102 has 64 divisors (see below), whose sum is σ = 218752919267328. Its totient is φ = 30352144896000.

The previous prime is 100022121111083. The next prime is 100022121111137. The reversal of 100022121111102 is 201111121220001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1506099 + ... + 14223662.

It is an arithmetic number, because the mean of its divisors is an integer number (3418014363552).

Almost surely, 2100022121111102 is an apocalyptic number.

100022121111102 is an abundant number, since it is smaller than the sum of its proper divisors (118730798156226).

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

100022121111102 is a wasteful number, since it uses less digits than its factorization.

100022121111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731825.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100022121111102 its reverse (201111121220001), we get a palindrome (301133242331103).

The spelling of 100022121111102 in words is "one hundred trillion, twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1581 2011 3162 4022 6033 12066 34187 62341 68374 102561 124682 187023 205122 374046 1059797 2119594 3179391 6358782 15729761 31459522 47189283 94378566 267405937 487622591 534811874 802217811 975245182 1462867773 1604435622 2925735546 8289584047 16579168094 24868752141 31632549371 49737504282 63265098742 94897648113 189795296226 537753339307 980609030501 1075506678614 1613260017921 1961218061002 2941827091503 3226520035842 5883654183006 16670353518517 33340707037034 50011060555551 100022121111102