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131020230322100 = 22527192518481323
BaseRepresentation
bin11101110010100110000110…
…010010010110011110110100
3122011220102010010100120000202
4131302212012102112132310
5114133113412430301400
61142353510214300032
736411620306311430
oct3562460622263664
9564812103316022
10131020230322100
1138824405365589
1212840722057618
135815201b6b402
14244d5ad3239c0
15102320bdc44d5
hex7729864967b4

131020230322100 has 108 divisors (see below), whose sum is σ = 342931843394784. Its totient is φ = 42556946909760.

The previous prime is 131020230322099. The next prime is 131020230322103. The reversal of 131020230322100 is 1223032020131.

It is a super-2 number, since 2×1310202303221002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020230322103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258987962 + ... + 259493361.

It is an arithmetic number, because the mean of its divisors is an integer number (3175294846248).

Almost surely, 2131020230322100 is an apocalyptic number.

131020230322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020230322100 is an abundant number, since it is smaller than the sum of its proper divisors (211911613072684).

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

131020230322100 is a wasteful number, since it uses less digits than its factorization.

131020230322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518481382 (or 518481356 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131020230322100 its reverse (1223032020131), we get a palindrome (132243262342231).

The spelling of 131020230322100 in words is "one hundred thirty-one trillion, twenty billion, two hundred thirty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 361 380 475 532 665 700 722 950 1330 1444 1805 1900 2527 2660 3325 3610 5054 6650 7220 9025 10108 12635 13300 18050 25270 36100 50540 63175 126350 252700 518481323 1036962646 2073925292 2592406615 3629369261 5184813230 7258738522 9851145137 10369626460 12962033075 14517477044 18146846305 19702290274 25924066150 36293692610 39404580548 49255725685 51848132300 68958015959 72587385220 90734231525 98511451370 137916031918 181468463050 187171757603 197022902740 246278628425 275832063836 344790079795 362936926100 374343515206 492557256850 689580159590 748687030412 935858788015 985114513700 1310202303221 1379160319180 1723950398975 1871717576030 2620404606442 3447900797950 3743435152060 4679293940075 5240809212884 6551011516105 6895801595900 9358587880150 13102023032210 18717175760300 26204046064420 32755057580525 65510115161050 131020230322100