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131320011023100 = 223252145911123359
BaseRepresentation
bin11101110110111101010010…
…100110111110001011111100
3122012222001220100122001002200
4131312331102212332023330
5114203021340310214400
61143143325155151500
736442362202240314
oct3566752246761374
9565861810561080
10131320011023100
113892a55a798239
121288a845ba5590
1358375684166a3
14245dccb29c444
15102ae051b5b00
hex776f529be2fc

131320011023100 has 54 divisors (see below), whose sum is σ = 411615278998560. Its totient is φ = 35018669605920.

The previous prime is 131320011023077. The next prime is 131320011023101. The reversal of 131320011023100 is 1320110023131.

131320011023100 is a `hidden beast` number, since 1 + 3 + 1 + 320 + 0 + 110 + 231 + 0 + 0 = 666.

It is a super-2 number, since 2×1313200110231002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320011023101) 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, 72955560780 + ... + 72955562579.

It is an arithmetic number, because the mean of its divisors is an integer number (7622505166640).

Almost surely, 2131320011023100 is an apocalyptic number.

131320011023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131320011023100 is an abundant number, since it is smaller than the sum of its proper divisors (280295267975460).

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

131320011023100 is a wasteful number, since it uses less digits than its factorization.

131320011023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145911123379 (or 145911123369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131320011023100 its reverse (1320110023131), we get a palindrome (132640121046231).

The spelling of 131320011023100 in words is "one hundred thirty-one trillion, three hundred twenty billion, eleven million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 145911123359 291822246718 437733370077 583644493436 729555616795 875466740154 1313200110231 1459111233590 1750933480308 2188666850385 2626400220462 2918222467180 3647778083975 4377333700770 5252800440924 6566000551155 7295556167950 8754667401540 10943334251925 13132001102310 14591112335900 21886668503850 26264002204620 32830002755775 43773337007700 65660005511550 131320011023100