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100031032221 = 3311279538887
BaseRepresentation
bin101110100101001010…
…0000110101110011101
3100120012100000221110020
41131022110012232131
53114330421012341
6113541552102353
710140601513311
oct1351224065635
9316170027406
10100031032221
1139471a0106a
12174782349b9
1395820864c3
144bad21bb41
152906d19566
hex174a506b9d

100031032221 has 32 divisors (see below), whose sum is σ = 138922426368. Its totient is φ = 63953608320.

The previous prime is 100031032183. The next prime is 100031032261. The reversal of 100031032221 is 122230130001.

It is not a de Polignac number, because 100031032221 - 211 = 100031030173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100031032221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031032261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11251440 + ... + 11260326.

It is an arithmetic number, because the mean of its divisors is an integer number (4341325824).

Almost surely, 2100031032221 is an apocalyptic number.

It is an amenable number.

100031032221 is a deficient number, since it is larger than the sum of its proper divisors (38891394147).

100031032221 is a wasteful number, since it uses less digits than its factorization.

100031032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100031032221 its reverse (122230130001), we get a palindrome (222261162222).

The spelling of 100031032221 in words is "one hundred billion, thirty-one million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 31 93 127 381 953 2859 3937 8887 11811 26661 29543 88629 121031 275497 363093 826491 1128649 3385947 3751961 8469311 11255883 25407933 34988119 104964357 262548641 787645923 1075602497 3226807491 33343677407 100031032221