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131001034202300 = 22527396718557753
BaseRepresentation
bin11101110010010100001110…
…000110111101110010111100
3122011211120120022110122002202
4131302110032012331302330
5114132310104223433200
61142341013323011032
736410340515061533
oct3562241606756274
9564746508418082
10131001034202300
1138817254687669
1212838a65369a78
135813462ba4842
14244c6abad731a
1510229869ea1d5
hex77250e1bdcbc

131001034202300 has 72 divisors (see below), whose sum is σ = 288464400492576. Its totient is φ = 51629150684160.

The previous prime is 131001034202231. The next prime is 131001034202383. The reversal of 131001034202300 is 3202430100131.

It is a super-2 number, since 2×1310010342023002 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219777 + ... + 16337976.

Almost surely, 2131001034202300 is an apocalyptic number.

131001034202300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001034202300 is an abundant number, since it is smaller than the sum of its proper divisors (157463366290276).

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

131001034202300 is a wasteful number, since it uses less digits than its factorization.

131001034202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18558807 (or 18558800 counting only the distinct ones).

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

Adding to 131001034202300 its reverse (3202430100131), we get a palindrome (134203464302431).

The spelling of 131001034202300 in words is "one hundred thirty-one trillion, one billion, thirty-four million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 967 1460 1825 1934 3650 3868 4835 7300 9670 19340 24175 48350 70591 96700 141182 282364 352955 705910 1411820 1764775 3529550 7059100 18557753 37115506 74231012 92788765 185577530 371155060 463943825 927887650 1354715969 1855775300 2709431938 5418863876 6773579845 13547159690 17945347151 27094319380 33867899225 35890694302 67735798450 71781388604 89726735755 135471596900 179453471510 358906943020 448633678775 897267357550 1310010342023 1794534715100 2620020684046 5240041368092 6550051710115 13100103420230 26200206840460 32750258550575 65500517101150 131001034202300