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32131120030000 = 245430791043557
BaseRepresentation
bin1110100111001000110111…
…11111101110000100110000
311012202201001000000021101121
413103210123333232010300
513202414013211430000
6152200455513312024
76524253051640225
oct723443377560460
9135681030007347
1032131120030000
11a2688056670a2
12372b287105614
1314c0c4a91ca94
147d1223d7994c
153aac0e10ab1a
hex1d391bfee130

32131120030000 has 100 divisors (see below), whose sum is σ = 77817994833040. Its totient is φ = 12848261472000.

The previous prime is 32131120029973. The next prime is 32131120030007. The reversal of 32131120030000 is 3002113123.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32131120030007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30268222 + ... + 31311778.

Almost surely, 232131120030000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32131120030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38908997416520).

32131120030000 is an abundant number, since it is smaller than the sum of its proper divisors (45686874803040).

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

32131120030000 is a wasteful number, since it uses less digits than its factorization.

32131120030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046664 (or 1046643 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 32131120030000 its reverse (3002113123), we get a palindrome (32134122143123).

The spelling of 32131120030000 in words is "thirty-two trillion, one hundred thirty-one billion, one hundred twenty million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3079 5000 6158 10000 12316 15395 24632 30790 49264 61580 76975 123160 153950 246320 307900 384875 615800 769750 1043557 1231600 1539500 1924375 2087114 3079000 3848750 4174228 5217785 6158000 7697500 8348456 10435570 15395000 16696912 20871140 26088925 30790000 41742280 52177850 83484560 104355700 130444625 208711400 260889250 417422800 521778500 652223125 1043557000 1304446250 2087114000 2608892500 3213112003 5217785000 6426224006 10435570000 12852448012 16065560015 25704896024 32131120030 51409792048 64262240060 80327800075 128524480120 160655600150 257048960240 321311200300 401639000375 642622400600 803278000750 1285244801200 1606556001500 2008195001875 3213112003000 4016390003750 6426224006000 8032780007500 16065560015000 32131120030000