Search a number
-
+
102330013311001 = 7241102159410363
BaseRepresentation
bin10111010001000110010000…
…000101111110000000011001
3111102022122122120102120122001
4113101012100011332000121
5101403033331401423001
61001345431550201001
730361046060411260
oct2721062005760031
9442278576376561
10102330013311001
112a672a0785a013
12b5882aa4b3161
1345138a9581928
141b3ab289155d7
15bc6c89d14001
hex5d119017e019

102330013311001 has 16 divisors (see below), whose sum is σ = 117548870927488. Its totient is φ = 87261939705600.

The previous prime is 102330013310977. The next prime is 102330013311011. The reversal of 102330013311001 is 100113310033201.

It is a cyclic number.

It is not a de Polignac number, because 102330013311001 - 237 = 102192574357529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102330013311001.

It is not an unprimeable number, because it can be changed into a prime (102330013311011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27982755 + ... + 31427608.

It is an arithmetic number, because the mean of its divisors is an integer number (7346804432968).

Almost surely, 2102330013311001 is an apocalyptic number.

It is an amenable number.

102330013311001 is a deficient number, since it is larger than the sum of its proper divisors (15218857616487).

102330013311001 is a wasteful number, since it uses less digits than its factorization.

102330013311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59411632.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 102330013311001 its reverse (100113310033201), we get a palindrome (202443323344202).

The spelling of 102330013311001 in words is "one hundred two trillion, three hundred thirty billion, thirteen million, three hundred eleven thousand, one".

Divisors: 1 7 241 1021 1687 7147 246061 1722427 59410363 415872541 14317897483 60657980623 100225282381 424605864361 14618573330143 102330013311001