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131212331213112 = 23333797169257313
BaseRepresentation
bin11101110101011001000000…
…011001000110000100111000
3122012120202221222001221002000
4131311121000121012010320
5114144240323242304422
61143022040211141000
736431530613041242
oct3565310031060470
9565522858057060
10131212331213112
11388989232a9236
12128719b42a4760
13582a3678106a6
1424589d42c1092
151028201b2bcac
hex775640646138

131212331213112 has 128 divisors (see below), whose sum is σ = 378188542401600. Its totient is φ = 42116635459584.

The previous prime is 131212331213087. The next prime is 131212331213143. The reversal of 131212331213112 is 211312133212131.

131212331213112 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 2 + 331 + 213 + 112 = 666.

It is a super-2 number, since 2×1312123312131122 (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 83853433 + ... + 85403880.

Almost surely, 2131212331213112 is an apocalyptic number.

131212331213112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131212331213112 is an abundant number, since it is smaller than the sum of its proper divisors (246976211188488).

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

131212331213112 is a wasteful number, since it uses less digits than its factorization.

131212331213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169257462 (or 169257452 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 131212331213112 its reverse (211312133212131), we get a palindrome (342524464425243).

The spelling of 131212331213112 in words is "one hundred thirty-one trillion, two hundred twelve billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 97 108 111 148 194 216 222 291 296 333 388 444 582 666 776 873 888 999 1164 1332 1746 1998 2328 2619 2664 3492 3589 3996 5238 6984 7178 7992 10476 10767 14356 20952 21534 28712 32301 43068 64602 86136 96903 129204 193806 258408 387612 775224 169257313 338514626 507771939 677029252 1015543878 1354058504 1523315817 2031087756 3046631634 4062175512 4569947451 6093263268 6262520581 9139894902 12186526536 12525041162 16417959361 18279789804 18787561743 25050082324 32835918722 36559579608 37575123486 49253878083 50100164648 56362685229 65671837444 75150246972 98507756166 112725370458 131343674888 147761634249 150300493944 169088055687 197015512332 225450740916 295523268498 338176111374 394031024664 443284902747 450901481832 591046536996 607464496357 676352222748 886569805494 1182093073992 1214928992714 1352704445496 1773139610988 1822393489071 2429857985428 3546279221976 3644786978142 4859715970856 5467180467213 7289573956284 10934360934426 14579147912568 16401541401639 21868721868852 32803082803278 43737443737704 65606165606556 131212331213112