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331132020330100 = 2252112443671231873
BaseRepresentation
bin100101101001010011010111…
…0011100100000111001110100
31121102102220121211121102022211
41023102212232130200321310
5321400231334201030400
63132131541115503204
7126514333103210023
oct11322465634407164
91542386554542284
10331132020330100
11965663349784a0
123117b72b757b04
131129c800429202
145baac37b628ba
15284378528ddba
hex12d29ae720e74

331132020330100 has 72 divisors (see below), whose sum is σ = 783883644985728. Its totient is φ = 120411053260800.

The previous prime is 331132020329993. The next prime is 331132020330109. The reversal of 331132020330100 is 1033020231133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132020330109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268187764 + ... + 269419636.

It is an arithmetic number, because the mean of its divisors is an integer number (10887272847024).

Almost surely, 2331132020330100 is an apocalyptic number.

It is an amenable number.

331132020330100 is an abundant number, since it is smaller than the sum of its proper divisors (452751624655628).

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

331132020330100 is a wasteful number, since it uses less digits than its factorization.

331132020330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476265 (or 1476258 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 331132020330100 its reverse (1033020231133), we get a palindrome (332165040561233).

The spelling of 331132020330100 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, twenty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 244367 488734 977468 1221835 1231873 2443670 2463746 2688037 4887340 4927492 5376074 6109175 6159365 10752148 12218350 12318730 13440185 13550603 24436700 24637460 26880370 27101206 30796825 53760740 54202412 61593650 67200925 67753015 123187300 134401850 135506030 268803700 271012060 338765075 677530150 1355060300 301029109391 602058218782 1204116437564 1505145546955 3010291093910 3311320203301 6020582187820 6622640406602 7525727734775 13245280813204 15051455469550 16556601016505 30102910939100 33113202033010 66226404066020 82783005082525 165566010165050 331132020330100