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102123001001 = 7174094674493
BaseRepresentation
bin101111100011100000…
…0010101010010101001
3100202121010102222010102
41133013000111102221
53133121442013001
6114525322155145
710243463120540
oct1370700252251
9322533388112
10102123001001
113a34585418a
1217960952ab5
1398265c1958
144d2adb7157
1529ca7e6e6b
hex17c70154a9

102123001001 has 32 divisors (see below), whose sum is σ = 124172455680. Its totient is φ = 81989277696.

The previous prime is 102123000979. The next prime is 102123001003. The reversal of 102123001001 is 100100321201.

It is not a de Polignac number, because 102123001001 - 26 = 102123000937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102123001003) 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, 22727111 + ... + 22731603.

It is an arithmetic number, because the mean of its divisors is an integer number (3880389240).

Almost surely, 2102123001001 is an apocalyptic number.

It is an amenable number.

102123001001 is a deficient number, since it is larger than the sum of its proper divisors (22049454679).

102123001001 is a wasteful number, since it uses less digits than its factorization.

102123001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102123001001 its reverse (100100321201), we get a palindrome (202223322202).

The spelling of 102123001001 in words is "one hundred two billion, one hundred twenty-three million, one thousand, one".

Divisors: 1 7 17 119 409 467 2863 3269 4493 6953 7939 31451 48671 55573 76381 191003 534667 1337021 1837637 2098231 3247051 12863459 14687617 22729357 31239829 35669927 218678803 249689489 858176479 6007235353 14589000143 102123001001