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102232342020 = 223519102187833
BaseRepresentation
bin101111100110110000…
…1011011111000000100
3100202212202012001210210
41133031201123320010
53133332434421040
6114544225515420
710246261366164
oct1371541337004
9322782161723
10102232342020
113a3a1545766
12179914a2b70
139843156093
144d3b71a5a4
1529d51e4480
hex17cd85be04

102232342020 has 96 divisors (see below), whose sum is σ = 301614929280. Its totient is φ = 25801528320.

The previous prime is 102232341979. The next prime is 102232342021. The reversal of 102232342020 is 20243232201.

It is not an unprimeable number, because it can be changed into a prime (102232342021) 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 31 ways as a sum of consecutive naturals, for example, 1120024 + ... + 1207856.

It is an arithmetic number, because the mean of its divisors is an integer number (3141822180).

Almost surely, 2102232342020 is an apocalyptic number.

102232342020 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 102232342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150807464640).

102232342020 is an abundant number, since it is smaller than the sum of its proper divisors (199382587260).

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

102232342020 is a wasteful number, since it uses less digits than its factorization.

102232342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88885 (or 88883 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 102232342020 its reverse (20243232201), we get a palindrome (122475574221).

The spelling of 102232342020 in words is "one hundred two billion, two hundred thirty-two million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1021 1140 2042 3063 4084 5105 6126 10210 12252 15315 19399 20420 30630 38798 58197 61260 77596 87833 96995 116394 175666 193990 232788 263499 290985 351332 387980 439165 526998 581970 878330 1053996 1163940 1317495 1668827 1756660 2634990 3337654 5006481 5269980 6675308 8344135 10012962 16688270 20025924 25032405 33376540 50064810 89677493 100129620 179354986 269032479 358709972 448387465 538064958 896774930 1076129916 1345162395 1703872367 1793549860 2690324790 3407744734 5111617101 5380649580 6815489468 8519361835 10223234202 17038723670 20446468404 25558085505 34077447340 51116171010 102232342020