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332012013000 = 23353829133499
BaseRepresentation
bin1001101010011010111…
…01010100010111001000
31011201222111011210002020
410311031131110113020
520414430033404000
6412305121404440
732662365355323
oct4651535242710
91151874153066
10332012013000
11118895142498
125441a199720
1325401cb5c35
14120d88917ba
158982c6eba0
hex4d4d7545c8

332012013000 has 128 divisors (see below), whose sum is σ = 1037134800000. Its totient is φ = 88429075200.

The previous prime is 332012012989. The next prime is 332012013019. The reversal of 332012013000 is 310210233.

It is a super-2 number, since 2×3320120130002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 2420251 + ... + 2553749.

It is an arithmetic number, because the mean of its divisors is an integer number (8102615625).

Almost surely, 2332012013000 is an apocalyptic number.

332012013000 is a gapful number since it is divisible by the number (30) 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 332012013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518567400000).

332012013000 is an abundant number, since it is smaller than the sum of its proper divisors (705122787000).

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

332012013000 is a wasteful number, since it uses less digits than its factorization.

332012013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134352 (or 134338 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 332012013000 its reverse (310210233), we get a palindrome (332322223233).

The spelling of 332012013000 in words is "three hundred thirty-two billion, twelve million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 829 1000 1500 1658 2487 3000 3316 4145 4974 6632 8290 9948 12435 16580 19896 20725 24870 33160 41450 49740 62175 82900 99480 103625 124350 133499 165800 207250 248700 266998 310875 400497 414500 497400 533996 621750 667495 800994 829000 1067992 1243500 1334990 1601988 2002485 2487000 2669980 3203976 3337475 4004970 5339960 6674950 8009940 10012425 13349900 16019880 16687375 20024850 26699800 33374750 40049700 50062125 66749500 80099400 100124250 110670671 133499000 200248500 221341342 332012013 400497000 442682684 553353355 664024026 885365368 1106706710 1328048052 1660060065 2213413420 2656096104 2766766775 3320120130 4426826840 5533533550 6640240260 8300300325 11067067100 13280480520 13833833875 16600600650 22134134200 27667667750 33201201300 41501501625 55335335500 66402402600 83003003250 110670671000 166006006500 332012013000