Search a number
-
+
102232011333180 = 22356008332835841
BaseRepresentation
bin10111001111101010111110…
…101110000101111000111100
3111101222021200122102021112210
4113033222332232011320330
5101344432124400130210
61001232423155500420
730351006354346311
oct2717527656057074
9441867618367483
10102232011333180
112a63539723a613
12b5712b98b7710
13450758b9a6241
141b360acd96d08
15bc44511eae20
hex5cfabeb85e3c

102232011333180 has 48 divisors (see below), whose sum is σ = 286250209094304. Its totient is φ = 27261814702080.

The previous prime is 102232011333167. The next prime is 102232011333181. The reversal of 102232011333180 is 81333110232201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232011333181) 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, 34632060 + ... + 37467900.

It is an arithmetic number, because the mean of its divisors is an integer number (5963546022798).

Almost surely, 2102232011333180 is an apocalyptic number.

102232011333180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232011333180 is an abundant number, since it is smaller than the sum of its proper divisors (184018197761124).

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

102232011333180 is a wasteful number, since it uses less digits than its factorization.

102232011333180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436686 (or 3436684 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 102232011333180 its reverse (81333110232201), we get a palindrome (183565121565381).

The spelling of 102232011333180 in words is "one hundred two trillion, two hundred thirty-two billion, eleven million, three hundred thirty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 600833 1201666 1802499 2403332 2835841 3004165 3604998 5671682 6008330 7209996 8507523 9012495 11343364 12016660 14179205 17015046 18024990 28358410 34030092 36049980 42537615 56716820 85075230 170150460 1703866855553 3407733711106 5111600566659 6815467422212 8519334277765 10223201133318 17038668555530 20446402266636 25558002833295 34077337111060 51116005666590 102232011333180