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101122032010122 = 2327703729312043
BaseRepresentation
bin10110111111100001001110…
…110011000000001110001010
3111021001011122021111101010100
4112333201032303000032022
5101223240410143310442
6555022453054430230
730204553135645404
oct2677411663001612
9437034567441110
10101122032010122
112a2476819074a2
12b412163b02376
1344569c75a00a6
141ad84923cdb74
15ba56395c384c
hex5bf84ecc038a

101122032010122 has 24 divisors (see below), whose sum is σ = 219126179492064. Its totient is φ = 33702968084904.

The previous prime is 101122032010081. The next prime is 101122032010127. The reversal of 101122032010122 is 221010230221101.

101122032010122 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 220 + 320 + 1 + 0 + 122 = 666.

It is a super-2 number, since 2×1011220320101222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101122032010095 and 101122032010104.

It is not an unprimeable number, because it can be changed into a prime (101122032010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364517368 + ... + 364794675.

It is an arithmetic number, because the mean of its divisors is an integer number (9130257478836).

Almost surely, 2101122032010122 is an apocalyptic number.

101122032010122 is an abundant number, since it is smaller than the sum of its proper divisors (118004147481942).

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

101122032010122 is a wasteful number, since it uses less digits than its factorization.

101122032010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729319754 (or 729319751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101122032010122 its reverse (221010230221101), we get a palindrome (322132262231223).

The spelling of 101122032010122 in words is "one hundred one trillion, one hundred twenty-two billion, thirty-two million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 7703 15406 23109 46218 69327 138654 729312043 1458624086 2187936129 4375872258 6563808387 13127616774 5617890667229 11235781334458 16853672001687 33707344003374 50561016005061 101122032010122