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102113001003003 = 33717342821124181
BaseRepresentation
bin10111001101111100001001…
…001001101101011111111011
3111101112220111121111002211020
4113031330021021231133323
5101341004411224044003
61001102022015233523
730336264233261544
oct2715741111553773
9441486447432736
10102113001003003
112a599975a93041
12b5522255188a3
1344c92a3850123
141b3041d26d4cb
15bc12d8085d53
hex5cdf0926d7fb

102113001003003 has 32 divisors (see below), whose sum is σ = 140643100982592. Its totient is φ = 65850528038400.

The previous prime is 102113001002977. The next prime is 102113001003019. The reversal of 102113001003003 is 300300100311201.

It is not a de Polignac number, because 102113001003003 - 222 = 102112996808699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102113001023003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822229573 + ... + 822353753.

It is an arithmetic number, because the mean of its divisors is an integer number (4395096905706).

Almost surely, 2102113001003003 is an apocalyptic number.

102113001003003 is a deficient number, since it is larger than the sum of its proper divisors (38530099979589).

102113001003003 is a wasteful number, since it uses less digits than its factorization.

102113001003003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167215.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 102113001003003 its reverse (300300100311201), we get a palindrome (402413101314204).

The spelling of 102113001003003 in words is "one hundred two trillion, one hundred thirteen billion, one million, three thousand, three".

Divisors: 1 3 37 111 173 519 6401 19203 42821 124181 128463 372543 1584377 4594697 4753131 7408033 13784091 21483313 22224099 64449939 274097221 794882581 822291663 2384647743 5317554601 15952663803 196749520237 590248560711 919936945973 2759810837919 34037667001001 102113001003003