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102123131033 = 71129182325087
BaseRepresentation
bin101111100011100000…
…0110101000010011001
3100202121010200120111102
41133013000311002121
53133122010143113
6114525325041145
710243464201620
oct1370700650231
9322533616442
10102123131033
113a345932950
12179609b61b5
139826638bb1
144d2b00c6b7
1529ca820758
hex17c7035099

102123131033 has 32 divisors (see below), whose sum is σ = 131790274560. Its totient is φ = 76787242560.

The previous prime is 102123131003. The next prime is 102123131039. The reversal of 102123131033 is 330131321201.

It is not a de Polignac number, because 102123131033 - 26 = 102123130969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102123130996 and 102123131014.

It is not an unprimeable number, because it can be changed into a prime (102123131039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4058216 + ... + 4083302.

It is an arithmetic number, because the mean of its divisors is an integer number (4118446080).

Almost surely, 2102123131033 is an apocalyptic number.

It is an amenable number.

102123131033 is a deficient number, since it is larger than the sum of its proper divisors (29667143527).

102123131033 is a wasteful number, since it uses less digits than its factorization.

102123131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26957.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102123131033 its reverse (330131321201), we get a palindrome (432254452234).

The spelling of 102123131033 in words is "one hundred two billion, one hundred twenty-three million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 7 11 29 77 203 319 1823 2233 12761 20053 25087 52867 140371 175609 275957 370069 581537 727523 1931699 4070759 5092661 8002753 45733601 56019271 320135207 503069611 1326274429 3521487277 9283921003 14589018719 102123131033