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133120232113212 = 223314871261365719
BaseRepresentation
bin11110010001001001111000…
…001001011100010000111100
3122110100011120212012202012000
4132101021320021130100330
5114422020213410110322
61151042331304542300
740016422310105061
oct3621117011342074
9573304525182160
10133120232113212
1139463a78655123
1212b1b714481990
1359382513bb536
1424c30a717cc68
15105cb693423ac
hex79127825c43c

133120232113212 has 96 divisors (see below), whose sum is σ = 345391260211200. Its totient is φ = 44339379414336.

The previous prime is 133120232113177. The next prime is 133120232113247. The reversal of 133120232113212 is 212311232021331.

133120232113212 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 202 + 321 + 132 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133120232113177) and next prime (133120232113247).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025564489 + ... + 2025630207.

It is an arithmetic number, because the mean of its divisors is an integer number (3597825627200).

Almost surely, 2133120232113212 is an apocalyptic number.

133120232113212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133120232113212 is an abundant number, since it is smaller than the sum of its proper divisors (212271028097988).

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

133120232113212 is a wasteful number, since it uses less digits than its factorization.

133120232113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79832 (or 79824 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133120232113212 its reverse (212311232021331), we get a palindrome (345431464134543).

The spelling of 133120232113212 in words is "one hundred thirty-three trillion, one hundred twenty billion, two hundred thirty-two million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1487 2974 4461 5948 8922 12613 13383 17844 25226 26766 37839 40149 50452 53532 65719 75678 80298 113517 131438 151356 160596 197157 227034 262876 340551 394314 454068 591471 681102 788628 1182942 1362204 1774413 2365884 3548826 7097652 18755531 37511062 56266593 75022124 97724153 112533186 168799779 195448306 225066372 293172459 337599558 390896612 506399337 586344918 675199116 828913747 879517377 1012798674 1172689836 1657827494 1759034754 2025597348 2486741241 2638552131 3315654988 3518069508 4973482482 5277104262 7460223723 9946964964 10554208524 14920447446 22380671169 29840894892 44761342338 89522684676 1232594741789 2465189483578 3697784225367 4930378967156 7395568450734 11093352676101 14791136901468 22186705352202 33280058028303 44373410704404 66560116056606 133120232113212