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102123143323131 = 3739019912462889
BaseRepresentation
bin10111001110000101100101…
…101011100101110111111011
3111101120212200110001100110110
4113032011211223211313323
5101341141144142320011
61001110420244315403
730340103456466150
oct2716054553456773
9441525613040413
10102123143323131
112a5a3200074297
12b5541960a2b63
1344ca22bb7a998
141b30b0227c227
15bc16cd6a7ba6
hex5ce165ae5dfb

102123143323131 has 16 divisors (see below), whose sum is σ = 155616629696000. Its totient is φ = 58355927661888.

The previous prime is 102123143323127. The next prime is 102123143323193. The reversal of 102123143323131 is 131323341321201.

It is not a de Polignac number, because 102123143323131 - 22 = 102123143323127 is a prime.

It is a super-2 number, since 2×1021231433231312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102123143321131) 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 15 ways as a sum of consecutive naturals, for example, 1962735 + ... + 14425623.

It is an arithmetic number, because the mean of its divisors is an integer number (9726039356000).

Almost surely, 2102123143323131 is an apocalyptic number.

102123143323131 is a deficient number, since it is larger than the sum of its proper divisors (53493486372869).

102123143323131 is a wasteful number, since it uses less digits than its factorization.

102123143323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12853098.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 102123143323131 its reverse (131323341321201), we get a palindrome (233446484644332).

The spelling of 102123143323131 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred forty-three million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 390199 1170597 2731393 8194179 12462889 37388667 87240223 261720669 4863006824911 14589020474733 34041047774377 102123143323131