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100313311024 = 24613101910037
BaseRepresentation
bin101110101101100100…
…0111010011100110000
3100120221000012012011201
41131123020322130300
53120420201423044
6114025554220544
710150600034503
oct1353310723460
9316830165151
10100313311024
11395a7281333
1217536884754
1395c86bb194
144bd88db13a
1529219c77d4
hex175b23a730

100313311024 has 40 divisors (see below), whose sum is σ = 194884557840. Its totient is φ = 50020708608.

The previous prime is 100313311019. The next prime is 100313311067. The reversal of 100313311024 is 420113313001.

It is a junction number, because it is equal to n+sod(n) for n = 100313310992 and 100313311010.

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 7 ways as a sum of consecutive naturals, for example, 9989334 + ... + 9999370.

It is an arithmetic number, because the mean of its divisors is an integer number (4872113946).

Almost surely, 2100313311024 is an apocalyptic number.

It is an amenable number.

100313311024 is a deficient number, since it is larger than the sum of its proper divisors (94571246816).

100313311024 is a wasteful number, since it uses less digits than its factorization.

100313311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100313311024 its reverse (420113313001), we get a palindrome (520426624025).

The spelling of 100313311024 in words is "one hundred billion, three hundred thirteen million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 16 613 1019 1226 2038 2452 4076 4904 8152 9808 10037 16304 20074 40148 80296 160592 624647 1249294 2498588 4997176 6152681 9994352 10227703 12305362 20455406 24610724 40910812 49221448 81821624 98442896 163643248 6269581939 12539163878 25078327756 50156655512 100313311024