Search a number
-
+
102312021211002 = 23317257310978931
BaseRepresentation
bin10111010000110101011111…
…101011100011011101111010
3111102020221012200010012101000
4113100311133223203131322
5101402240004412223002
61001333254345105430
730356541156161241
oct2720653753433572
9442227180105330
10102312021211002
112a666314782a89
12b584908a88276
134511c9cb89105
141b39cdd183958
15bc65854bb61c
hex5d0d5fae377a

102312021211002 has 32 divisors (see below), whose sum is σ = 227361385316160. Its totient is φ = 34103806343280.

The previous prime is 102312021210953. The next prime is 102312021211007. The reversal of 102312021211002 is 200112120213201.

102312021211002 is a `hidden beast` number, since 10 + 231 + 202 + 121 + 100 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102312021211007) 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, 3829477 + ... + 14808407.

It is an arithmetic number, because the mean of its divisors is an integer number (7105043291130).

Almost surely, 2102312021211002 is an apocalyptic number.

102312021211002 is an abundant number, since it is smaller than the sum of its proper divisors (125049364105158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102312021211002 is a wasteful number, since it uses less digits than its factorization.

102312021211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151515 (or 11151509 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102312021211002 its reverse (200112120213201), we get a palindrome (302424141424203).

The spelling of 102312021211002 in words is "one hundred two trillion, three hundred twelve billion, twenty-one million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 54 172573 345146 517719 1035438 1553157 3106314 4659471 9318942 10978931 21957862 32936793 65873586 98810379 197620758 296431137 592862274 1894667059463 3789334118926 5684001178389 11368002356778 17052003535167 34104007070334 51156010605501 102312021211002