Search a number
-
+
31212000013230 = 2335881238155109
BaseRepresentation
bin1110001100011000111000…
…01011000110101110101110
311002111211121221112200222000
413012030130023012232232
513042334134000410410
6150214332253433130
76400664312462451
oct706143413065656
9132454557480860
1031212000013230
119a43a31348753
12360111779b7a6
131455381b947aa
1479c9514d7498
15391d68238dc0
hex1c631c2c6bae

31212000013230 has 128 divisors (see below), whose sum is σ = 83362983580800. Its totient is φ = 8310110054400.

The previous prime is 31212000013213. The next prime is 31212000013267. The reversal of 31212000013230 is 3231000021213.

31212000013230 is a `hidden beast` number, since 312 + 120 + 0 + 0 + 0 + 1 + 3 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566340916 + ... + 566396024.

It is an arithmetic number, because the mean of its divisors is an integer number (651273309225).

Almost surely, 231212000013230 is an apocalyptic number.

31212000013230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31212000013230 is an abundant number, since it is smaller than the sum of its proper divisors (52150983567570).

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

31212000013230 is a wasteful number, since it uses less digits than its factorization.

31212000013230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58387 (or 58381 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31212000013230 its reverse (3231000021213), we get a palindrome (34443000034443).

The spelling of 31212000013230 in words is "thirty-one trillion, two hundred twelve billion, thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 881 1762 2381 2643 4405 4762 5286 7143 7929 8810 11905 13215 14286 15858 21429 23787 23810 26430 35715 39645 42858 47574 55109 64287 71430 79290 107145 110218 118935 128574 165327 214290 237870 275545 321435 330654 495981 551090 642870 826635 991962 1487943 1653270 2097661 2479905 2975886 4195322 4959810 6292983 7439715 10488305 12585966 14879430 18878949 20976610 31464915 37757898 48551029 56636847 62929830 94394745 97102058 113273694 131214529 145653087 188789490 242755145 262429058 283184235 291306174 393643587 436959261 485510290 566368470 656072645 728265435 787287174 873918522 1180930761 1310877783 1312145290 1456530870 1968217935 2184796305 2361861522 2621755566 3542792283 3936435870 4369592610 5904653805 6554388915 7085584566 11809307610 13108777830 17713961415 35427922830 115600000049 231200000098 346800000147 578000000245 693600000294 1040400000441 1156000000490 1734000000735 2080800000882 3121200001323 3468000001470 5202000002205 6242400002646 10404000004410 15606000006615 31212000013230