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10130314104200 = 235273181692141
BaseRepresentation
bin1001001101101010010111…
…0001100000110110001000
31022212110010000012122102002
42103122211301200312020
52311433340402313300
633313445124330132
72063614425063323
oct223324561406610
938773100178362
1010130314104200
1132562732402a4
1211773a5843948
13586391128814
1427044a1dd7ba
151287a564e5d5
hex936a5c60d88

10130314104200 has 48 divisors (see below), whose sum is σ = 23553336167460. Its totient is φ = 4052064416000.

The previous prime is 10130314104173. The next prime is 10130314104269. The reversal of 10130314104200 is 240141303101.

It can be written as a sum of positive squares in 6 ways, for example, as 5480365276324 + 4649948827876 = 2341018^2 + 2156374^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14290130 + ... + 14982270.

Almost surely, 210130314104200 is an apocalyptic number.

10130314104200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130314104200 is an abundant number, since it is smaller than the sum of its proper divisors (13423022063260).

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

10130314104200 is a wasteful number, since it uses less digits than its factorization.

10130314104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765338 (or 765329 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10130314104200 its reverse (240141303101), we get a palindrome (10370455407301).

The spelling of 10130314104200 in words is "ten trillion, one hundred thirty billion, three hundred fourteen million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 73181 146362 292724 365905 585448 692141 731810 1384282 1463620 1829525 2768564 2927240 3460705 3659050 5537128 6921410 7318100 13842820 14636200 17303525 27685640 34607050 69214100 138428200 50651570521 101303141042 202606282084 253257852605 405212564168 506515705210 1013031410420 1266289263025 2026062820840 2532578526050 5065157052100 10130314104200