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100121033121 = 31916327738903
BaseRepresentation
bin101110100111110101…
…1011011100110100001
3100120102121101110110220
41131033223123212201
53120021441024441
6113554525113253
710143043511514
oct1351753334641
9316377343426
10100121033121
113950879307a
12174a23b8829
139597908985
144bbb168d7b
15290eb96466
hex174fadb9a1

100121033121 has 32 divisors (see below), whose sum is σ = 141896893440. Its totient is φ = 62617904064.

The previous prime is 100121033113. The next prime is 100121033137. The reversal of 100121033121 is 121330121001.

It is a happy number.

It is not a de Polignac number, because 100121033121 - 23 = 100121033113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100121033121.

It is not an unprimeable number, because it can be changed into a prime (100121033101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554156 + ... + 2593058.

It is an arithmetic number, because the mean of its divisors is an integer number (4434277920).

Almost surely, 2100121033121 is an apocalyptic number.

It is an amenable number.

100121033121 is a deficient number, since it is larger than the sum of its proper divisors (41775860319).

100121033121 is a wasteful number, since it uses less digits than its factorization.

100121033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39365.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100121033121 its reverse (121330121001), we get a palindrome (221451154122).

The spelling of 100121033121 in words is "one hundred billion, one hundred twenty-one million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 19 57 163 277 489 831 3097 5263 9291 15789 38903 45151 116709 135453 739157 857869 2217471 2573607 6341189 10776131 19023567 32328393 120482591 204746489 361447773 614239467 1756509353 5269528059 33373677707 100121033121