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102211120100022 = 2337460410450901
BaseRepresentation
bin10111001111010111100001…
…100000010111001010110110
3111101220021202200212200020120
4113033113201200113022312
5101344111333221200042
61001215050152112410
730346336560656103
oct2717274140271266
9441807680780216
10102211120100022
112a62754672696a
12b569249395706
13450560c78440b
141b3508a597aaa
15bc3b2c0d5dec
hex5cf5e18172b6

102211120100022 has 16 divisors (see below), whose sum is σ = 209947165611312. Its totient is φ = 33149552464800.

The previous prime is 102211120100003. The next prime is 102211120100029. The reversal of 102211120100022 is 220001021112201.

It is a super-3 number, since 3×1022111201000223 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102211120099974 and 102211120100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211120100029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230205225229 + ... + 230205225672.

It is an arithmetic number, because the mean of its divisors is an integer number (13121697850707).

Almost surely, 2102211120100022 is an apocalyptic number.

102211120100022 is an abundant number, since it is smaller than the sum of its proper divisors (107736045511290).

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

102211120100022 is a wasteful number, since it uses less digits than its factorization.

102211120100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460410450943.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102211120100022 its reverse (220001021112201), we get a palindrome (322212141212223).

The spelling of 102211120100022 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 37 74 111 222 460410450901 920820901802 1381231352703 2762462705406 17035186683337 34070373366674 51105560050011 102211120100022