Search a number
-
+
102232310232000 = 26353136135315217
BaseRepresentation
bin10111001111101011010000…
…100010010011001111000000
3111101222022110110211220122110
4113033223100202103033000
5101344433232404411000
61001232512554135320
730351016644061404
oct2717532042231700
9441868413756573
10102232310232000
112a63552aa31733
12b571381a21540
1345076088a9a50
141b360da961104
15bc446c58d850
hex5cfad08933c0

102232310232000 has 896 divisors, whose sum is σ = 370568822577408. Its totient is φ = 24680595456000.

The previous prime is 102232310231981. The next prime is 102232310232109. The reversal of 102232310232000 is 232013232201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6718288392 + ... + 6718303608.

It is an arithmetic number, because the mean of its divisors is an integer number (413581275198).

Almost surely, 2102232310232000 is an apocalyptic number.

102232310232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102232310232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185284411288704).

102232310232000 is an abundant number, since it is smaller than the sum of its proper divisors (268336512345408).

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

102232310232000 is a wasteful number, since it uses less digits than its factorization.

102232310232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15674 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102232310232000 its reverse (232013232201), we get a palindrome (102464323464201).

The spelling of 102232310232000 in words is "one hundred two trillion, two hundred thirty-two billion, three hundred ten million, two hundred thirty-two thousand".