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1122101102122 = 2711132112656351
BaseRepresentation
bin10000010101000010011…
…100000000011000101010
310222021100011012002020121
4100111002130000120222
5121341030340231442
62215253000513454
7144032465665420
oct20250234003052
93867304162217
101122101102122
113a2975901150
1216157947b88a
1381a768685b0
143c44a845110
151e2c5e00967
hex1054270062a

1122101102122 has 64 divisors (see below), whose sum is σ = 2270607187968. Its totient is φ = 401640120000.

The previous prime is 1122101102113. The next prime is 1122101102141. The reversal of 1122101102122 is 2212011012211.

It is a super-2 number, since 2×11221011021222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122101102096 and 1122101102105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905754 + ... + 1750597.

It is an arithmetic number, because the mean of its divisors is an integer number (35478237312).

Almost surely, 21122101102122 is an apocalyptic number.

1122101102122 is an abundant number, since it is smaller than the sum of its proper divisors (1148506085846).

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

1122101102122 is a wasteful number, since it uses less digits than its factorization.

1122101102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656595.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122101102122 its reverse (2212011012211), we get a palindrome (3334112114333).

The spelling of 1122101102122 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 211 286 422 1001 1477 2002 2321 2743 2954 4642 5486 16247 19201 30173 32494 38402 60346 211211 422422 2656351 5312702 18594457 29219861 34532563 37188914 58439722 69065126 204539027 241727941 379858193 409078054 483455882 560490061 759716386 1120980122 2659007351 3923430427 5318014702 6165390671 7286370793 7846860854 12330781342 14572741586 43157734697 51004595551 80150078723 86315469394 102009191102 160300157446 561050551061 1122101102122