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10001010978 = 233737715073
BaseRepresentation
bin10010101000001101…
…10101000100100010
3221210222122222221000
421110012311010202
5130440224322403
64332220212430
7502556122260
oct112406650442
927728588830
1010001010978
114272345632
121b3139a116
13c34c8269a
146ac347430
153d800c7a3
hex2541b5122

10001010978 has 64 divisors (see below), whose sum is σ = 26085899520. Its totient is φ = 2780199936.

The previous prime is 10001010919. The next prime is 10001010979. The reversal of 10001010978 is 87901010001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10001010979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343551 + ... + 371522.

It is an arithmetic number, because the mean of its divisors is an integer number (407592180).

Almost surely, 210001010978 is an apocalyptic number.

10001010978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10001010978 is an abundant number, since it is smaller than the sum of its proper divisors (16084888542).

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

10001010978 is a wasteful number, since it uses less digits than its factorization.

10001010978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715128 (or 715122 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 10001010978 its reverse (87901010001), we get a palindrome (97902020979).

The spelling of 10001010978 in words is "ten billion, one million, ten thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 6993 13986 715073 1430146 2145219 4290438 5005511 6435657 10011022 12871314 15016533 19306971 26457701 30033066 38613942 45049599 52915402 79373103 90099198 135148797 158746206 185203907 238119309 270297594 370407814 476238618 555611721 714357927 1111223442 1428715854 1666835163 3333670326 5000505489 10001010978