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231321001100 = 225271051314423
BaseRepresentation
bin1101011101101111001…
…1100101110010001100
3211010002011021101201012
43113123303211302030
512242221134013400
6254133431504352
722466231032010
oct3273363456214
9733064241635
10231321001100
118a114746982
12389b8b280b8
1318a76293217
14b2a5b56540
15603d03ad35
hex35dbce5c8c

231321001100 has 72 divisors (see below), whose sum is σ = 574223747328. Its totient is φ = 79234344000.

The previous prime is 231321001091. The next prime is 231321001111. The reversal of 231321001100 is 1100123132.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578489 + ... + 892911.

It is an arithmetic number, because the mean of its divisors is an integer number (7975329824).

Almost surely, 2231321001100 is an apocalyptic number.

231321001100 is a gapful number since it is divisible by the number (20) 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 231321001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287111873664).

231321001100 is an abundant number, since it is smaller than the sum of its proper divisors (342902746228).

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

231321001100 is a wasteful number, since it uses less digits than its factorization.

231321001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315495 (or 315488 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 231321001100 its reverse (1100123132), we get a palindrome (232421124232).

The spelling of 231321001100 in words is "two hundred thirty-one billion, three hundred twenty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1051 2102 4204 5255 7357 10510 14714 21020 26275 29428 36785 52550 73570 105100 147140 183925 314423 367850 628846 735700 1257692 1572115 2200961 3144230 4401922 6288460 7860575 8803844 11004805 15721150 22009610 31442300 44019220 55024025 110048050 220096100 330458573 660917146 1321834292 1652292865 2313210011 3304585730 4626420022 6609171460 8261464325 9252840044 11566050055 16522928650 23132100110 33045857300 46264200220 57830250275 115660500550 231321001100