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10222112121111 = 32118091063120067
BaseRepresentation
bin1001010011000000010101…
…0111001010000100010111
31100012020001120101002001100
42110300011113022010113
52314434341200333421
633423550134401143
72103344316254562
oct224600527120427
940166046332040
1010222112121111
11329119a891080
1211911448001b3
13591c305c5317
14274a77c194d9
1512ad79791c26
hex94c055ca117

10222112121111 has 48 divisors (see below), whose sum is σ = 16142787198720. Its totient is φ = 6181689260160.

The previous prime is 10222112121101. The next prime is 10222112121227. The reversal of 10222112121111 is 11112121122201.

It is a happy number.

10222112121111 is a `hidden beast` number, since 102 + 221 + 121 + 211 + 11 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10222112121111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222112121101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85076700 + ... + 85196766.

It is an arithmetic number, because the mean of its divisors is an integer number (336308066640).

Almost surely, 210222112121111 is an apocalyptic number.

10222112121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10222112121111 is a deficient number, since it is larger than the sum of its proper divisors (5920675077609).

10222112121111 is a wasteful number, since it uses less digits than its factorization.

10222112121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121956 (or 121953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10222112121111 its reverse (11112121122201), we get a palindrome (21334233243312).

The spelling of 10222112121111 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 809 1063 2427 3189 7281 8899 9567 11693 26697 35079 80091 105237 120067 360201 859967 1080603 1320737 2579901 3962211 7739703 9459637 11886633 28378911 85136733 97134203 127631221 291402609 382893663 874207827 1068476233 1148680989 1403943431 3205428699 4211830293 9616286097 12635490879 103253657789 309760973367 929282920101 1135790235679 3407370707037 10222112121111