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131303113201332 = 223343127922106107
BaseRepresentation
bin11101110110101101100011…
…011010111001011010110100
3122012220110021201101202101000
4131312231203122321122310
5114202232233434420312
61143131452324203300
736441223356152652
oct3566554332713264
9565813251352330
10131303113201332
1138923379378686
121288750ab39530
135835aa464a397
14245d166db9dd2
15102a766973adc
hex776b636b96b4

131303113201332 has 96 divisors (see below), whose sum is σ = 348604480716800. Its totient is φ = 42716424443616.

The previous prime is 131303113201321. The next prime is 131303113201357. The reversal of 131303113201332 is 233102311303131.

131303113201332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 3 + 1 + 1 + 320 + 1 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131303113201296 and 131303113201305.

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, 5113378 + ... + 16992729.

Almost surely, 2131303113201332 is an apocalyptic number.

131303113201332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303113201332 is an abundant number, since it is smaller than the sum of its proper divisors (217301367515468).

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

131303113201332 is a wasteful number, since it uses less digits than its factorization.

131303113201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22107442 (or 22107434 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131303113201332 its reverse (233102311303131), we get a palindrome (364405424504463).

The spelling of 131303113201332 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred thirteen million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1279 1548 2322 2558 3837 4644 5116 7674 11511 15348 23022 34533 46044 54997 69066 109994 138132 164991 219988 329982 494973 659964 989946 1484919 1979892 2969838 5939676 22106107 44212214 66318321 88424428 132636642 198954963 265273284 397909926 596864889 795819852 950562601 1193729778 1901125202 2387459556 2851687803 3802250404 5703375606 8555063409 11406751212 17110126818 25665190227 28273710853 34220253636 51330380454 56547421706 84821132559 102660760908 113094843412 169642265118 254463397677 339284530236 508926795354 763390193031 1017853590708 1215769566679 1526780386062 2431539133358 3053560772124 3647308700037 4863078266716 7294617400074 10941926100111 14589234800148 21883852200222 32825778300333 43767704400444 65651556600666 131303113201332