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231331100 = 2252711132311
BaseRepresentation
bin11011100100111…
…01010100011100
3121010021211121112
431302131110130
5433210043400
634542121152
75506165460
oct1562352434
9533254545
10231331100
11109642530
12655801b8
1338c07110
1422a1a4a0
1515497835
hexdc9d51c

231331100 has 144 divisors (see below), whose sum is σ = 674290176. Its totient is φ = 66528000.

The previous prime is 231331081. The next prime is 231331117. The reversal of 231331100 is 1133132.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98945 + ... + 101255.

Almost surely, 2231331100 is an apocalyptic number.

231331100 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 231331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337145088).

231331100 is an abundant number, since it is smaller than the sum of its proper divisors (442959076).

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

231331100 is a wasteful number, since it uses less digits than its factorization.

231331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 231331100 is about 15209.5726435689. The cubic root of 231331100 is about 613.8722585426.

Adding to 231331100 its reverse (1133132), we get a palindrome (232464232).

The spelling of 231331100 in words is "two hundred thirty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2311 2860 3575 3850 4004 4550 4622 5005 7150 7700 9100 9244 10010 11555 14300 16177 20020 23110 25025 25421 30043 32354 46220 50050 50842 57775 60086 64708 80885 100100 101684 115550 120172 127105 150215 161770 177947 210301 231100 254210 300430 323540 330473 355894 404425 420602 508420 600860 635525 660946 711788 751075 808850 841204 889735 1051505 1271050 1321892 1502150 1617700 1652365 1779470 2103010 2313311 2542100 3004300 3304730 3558940 4206020 4448675 4626622 5257525 6609460 8261825 8897350 9253244 10515050 11566555 16523650 17794700 21030100 23133110 33047300 46266220 57832775 115665550 231331100