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100314320520 = 233519211208519
BaseRepresentation
bin101110101101100110…
…0110000111010001000
3100120221002002110221110
41131123030300322020
53120420431224040
6114030032010320
710150611440601
oct1353314607210
9316832073843
10100314320520
11395a7900827
12175370909a0
1395c898280b
144bd8ac0da8
152921b26980
hex175b330e88

100314320520 has 128 divisors (see below), whose sum is σ = 318284928000. Its totient is φ = 25222337280.

The previous prime is 100314320489. The next prime is 100314320521. The reversal of 100314320520 is 25023413001.

It is not an unprimeable number, because it can be changed into a prime (100314320521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376821 + ... + 585339.

It is an arithmetic number, because the mean of its divisors is an integer number (2486601000).

Almost surely, 2100314320520 is an apocalyptic number.

100314320520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159142464000).

100314320520 is an abundant number, since it is smaller than the sum of its proper divisors (217970607480).

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

100314320520 is a wasteful number, since it uses less digits than its factorization.

100314320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208763 (or 208759 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 100314320520 its reverse (25023413001), we get a palindrome (125337733521).

The spelling of 100314320520 in words is "one hundred billion, three hundred fourteen million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 211 228 285 380 422 456 570 633 760 844 1055 1140 1266 1688 2110 2280 2532 3165 4009 4220 5064 6330 8018 8440 12027 12660 16036 20045 24054 25320 32072 40090 48108 60135 80180 96216 120270 160360 208519 240540 417038 481080 625557 834076 1042595 1251114 1668152 2085190 2502228 3127785 3961861 4170380 5004456 6255570 7923722 8340760 11885583 12511140 15847444 19809305 23771166 25022280 31694888 39618610 43997509 47542332 59427915 79237220 87995018 95084664 118855830 131992527 158474440 175990036 219987545 237711660 263985054 351980072 439975090 475423320 527970108 659962635 835952671 879950180 1055940216 1319925270 1671905342 1759900360 2507858013 2639850540 3343810684 4179763355 5015716026 5279701080 6687621368 8359526710 10031432052 12539290065 16719053420 20062864104 25078580130 33438106840 50157160260 100314320520