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231431311100 = 2252113711350321
BaseRepresentation
bin1101011110001001100…
…0011000111011111100
3211010100211211201120202
43113202120120323330
512242432403423400
6254152412103032
722502040454343
oct3274230307374
9733324751522
10231431311100
118a170a3a470
1238a29a64a78
1318a930a6702
14b2b666cb5a
156047a7a4d5
hex35e2618efc

231431311100 has 144 divisors (see below), whose sum is σ = 567658730016. Its totient is φ = 81156096000.

The previous prime is 231431311049. The next prime is 231431311117. The reversal of 231431311100 is 1113134132.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4573940 + ... + 4624260.

It is an arithmetic number, because the mean of its divisors is an integer number (3942074514).

Almost surely, 2231431311100 is an apocalyptic number.

231431311100 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 231431311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283829365008).

231431311100 is an abundant number, since it is smaller than the sum of its proper divisors (336227418916).

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

231431311100 is a wasteful number, since it uses less digits than its factorization.

231431311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50496 (or 50489 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 231431311100 its reverse (1113134132), we get a palindrome (232544445232).

The spelling of 231431311100 in words is "two hundred thirty-one billion, four hundred thirty-one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 113 148 185 220 226 275 370 407 452 550 565 740 814 925 1100 1130 1243 1628 1850 2035 2260 2486 2825 3700 4070 4181 4972 5650 6215 8140 8362 10175 11300 12430 16724 20350 20905 24860 31075 40700 41810 45991 50321 62150 83620 91982 100642 104525 124300 183964 201284 209050 229955 251605 418100 459910 503210 553531 919820 1006420 1107062 1149775 1258025 1861877 2214124 2299550 2516050 2767655 3723754 4599100 5032100 5535310 5686273 7447508 9309385 11070620 11372546 13838275 18618770 20480647 22745092 27676550 28431365 37237540 40961294 46546925 55353100 56862730 62549003 81922588 93093850 102403235 113725460 125098006 142156825 186187700 204806470 210392101 250196012 284313650 312745015 409612940 420784202 512016175 568627300 625490030 841568404 1024032350 1051960505 1250980060 1563725075 2048064700 2103921010 2314313111 3127450150 4207842020 4628626222 5259802525 6254900300 9257252444 10519605050 11571565555 21039210100 23143131110 46286262220 57857827775 115715655550 231431311100