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130631651136 = 2632724628389
BaseRepresentation
bin111100110101001000…
…0001100111101000000
3110111011221111110002100
41321222100030331000
54120013200314021
6140002241350400
712303113466600
oct1715220147500
9414157443070
10130631651136
1150445185a68
1221398338400
13c41aa02abc
146473330c00
1535e8534626
hex1e6a40cf40

130631651136 has 126 divisors (see below), whose sum is σ = 435563897730. Its totient is φ = 37323320832.

The previous prime is 130631651131. The next prime is 130631651147. The reversal of 130631651136 is 631156136031.

130631651136 is a `hidden beast` number, since 1 + 3 + 0 + 631 + 6 + 5 + 1 + 13 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114027782400 + 16603868736 = 337680^2 + 128856^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×1306316511362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130631651136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130631651131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2285971 + ... + 2342418.

Almost surely, 2130631651136 is an apocalyptic number.

130631651136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130631651136 is an abundant number, since it is smaller than the sum of its proper divisors (304932246594).

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

130631651136 is a wasteful number, since it uses less digits than its factorization.

130631651136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628421 (or 4628401 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 130631651136 its reverse (631156136031), we get a palindrome (761787787167).

The spelling of 130631651136 in words is "one hundred thirty billion, six hundred thirty-one million, six hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 4628389 9256778 13885167 18513556 27770334 32398723 37027112 41655501 55540668 64797446 74054224 83311002 97196169 111081336 129594892 148108448 166622004 194392338 222162672 226791061 259189784 291588507 296216896 333244008 388784676 444325344 453582122 518379568 583177014 666488016 680373183 777569352 888650688 907164244 1036759136 1166354028 1332976032 1360746366 1555138704 1814328488 2041119549 2073518272 2332708056 2665952064 2721492732 3110277408 3628656976 4082239098 4665416112 5442985464 6220554816 7257313952 8164478196 9330832224 10885970928 14514627904 16328956392 18661664448 21771941856 32657912784 43543883712 65315825568 130631651136