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201010131321003 = 32375691339779187
BaseRepresentation
bin101101101101000101010001…
…011110010100000010101011
3222100201101021122220220201200
4231231011101132110002223
5202321322222104233003
61551302440213215243
760224334304010544
oct5555052136240253
9870641248826650
10201010131321003
1159058a10897704
121a66513a331523
138821235503a04
14378cd298154cb
151838b04ea36a3
hexb6d1517940ab

201010131321003 has 48 divisors (see below), whose sum is σ = 298745348821920. Its totient is φ = 130144443683328.

The previous prime is 201010131320987. The next prime is 201010131321011. The reversal of 201010131321003 is 300123131010102.

201010131321003 is a `hidden beast` number, since 201 + 0 + 10 + 131 + 321 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 201010131321003 - 24 = 201010131320987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201010131321403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538383776 + ... + 2538462962.

It is an arithmetic number, because the mean of its divisors is an integer number (6223861433790).

Almost surely, 2201010131321003 is an apocalyptic number.

201010131321003 is a deficient number, since it is larger than the sum of its proper divisors (97735217500917).

201010131321003 is a wasteful number, since it uses less digits than its factorization.

201010131321003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93196 (or 93193 counting only the distinct ones).

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

Adding to 201010131321003 its reverse (300123131010102), we get a palindrome (501133262331105).

The spelling of 201010131321003 in words is "two hundred one trillion, ten billion, one hundred thirty-one million, three hundred twenty-one thousand, three".

Divisors: 1 3 9 37 111 333 569 1707 5121 13397 21053 40191 63159 79187 120573 189477 237561 495689 712683 1487067 2929919 4461201 7622893 8789757 22868679 26369271 45057403 68606037 135172209 282047041 405516627 846141123 1060868239 1667123911 2538423369 3182604717 5001371733 9547814151 15004115199 39252124843 117756374529 353269123587 603634027991 1810902083973 5432706251919 22334459035667 67003377107001 201010131321003