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10100315440 = 245174772269
BaseRepresentation
bin10010110100000011…
…01001010100110000
3222001220112012001001
421122001221110300
5131141140043230
64350124451344
7505203156535
oct113201512460
928056465031
1010100315440
114313401536
121b5a6a9b54
13c4c711717
146bb5d6d8c
153e1ac60ca
hex25a069530

10100315440 has 40 divisors (see below), whose sum is σ = 23497000560. Its totient is φ = 4037757696.

The previous prime is 10100315377. The next prime is 10100315471. The reversal of 10100315440 is 4451300101.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103626 + ... + 175894.

It is an arithmetic number, because the mean of its divisors is an integer number (587425014).

Almost surely, 210100315440 is an apocalyptic number.

10100315440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100315440 is an abundant number, since it is smaller than the sum of its proper divisors (13396685120).

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

10100315440 is a wasteful number, since it uses less digits than its factorization.

10100315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74029 (or 74023 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10100315440 its reverse (4451300101), we get a palindrome (14551615541).

The spelling of 10100315440 in words is "ten billion, one hundred million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1747 3494 6988 8735 13976 17470 27952 34940 69880 72269 139760 144538 289076 361345 578152 722690 1156304 1445380 2890760 5781520 126253943 252507886 505015772 631269715 1010031544 1262539430 2020063088 2525078860 5050157720 10100315440