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10100011131300 = 2235283405622937
BaseRepresentation
bin1001001011111001011110…
…0100110110000110100100
31022202112220010211010100110
42102332113210312012210
52310434310322200200
633251514150413020
72061462456053466
oct222762744660644
938675803733313
1010100011131300
113244432a82242
121171549361170
1358357206471c
1426cbb384a136
15127ad012ab50
hex92f979361a4

10100011131300 has 72 divisors (see below), whose sum is σ = 29574779655456. Its totient is φ = 2660886460160.

The previous prime is 10100011131277. The next prime is 10100011131337. The reversal of 10100011131300 is 313111000101.

10100011131300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 202786569 + ... + 202836368.

It is an arithmetic number, because the mean of its divisors is an integer number (410760828548).

Almost surely, 210100011131300 is an apocalyptic number.

10100011131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100011131300 is an abundant number, since it is smaller than the sum of its proper divisors (19474768524156).

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

10100011131300 is a wasteful number, since it uses less digits than its factorization.

10100011131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405623037 (or 405623030 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10100011131300 its reverse (313111000101), we get a palindrome (10413122131401).

The spelling of 10100011131300 in words is "ten trillion, one hundred billion, eleven million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 405622937 811245874 1216868811 1622491748 2028114685 2433737622 4056229370 4867475244 6084344055 8112458740 10140573425 12168688110 20281146850 24337376220 30421720275 33666703771 40562293700 60843440550 67333407542 101000111313 121686881100 134666815084 168333518855 202000222626 336667037710 404000445252 505000556565 673334075420 841667594275 1010001113130 1683335188550 2020002226260 2525002782825 3366670377100 5050005565650 10100011131300