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230310404013032 = 237171012395274191
BaseRepresentation
bin110100010111011101010001…
…110100011011101111101000
31010012110110102001020110121122
4310113131101310123233220
5220141401201411404112
62133455050003554412
766340243340416040
oct6427352164335750
91105413361213548
10230310404013032
1167425103981682
12219b784838ba08
139b68240b32255
1440c3123ba2720
151b95d7eadc872
hexd17751d1bbe8

230310404013032 has 64 divisors (see below), whose sum is σ = 527726809981440. Its totient is φ = 91978528896000.

The previous prime is 230310404013017. The next prime is 230310404013097.

230310404013032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230310404012992 and 230310404013010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197540944 + ... + 1197733247.

It is an arithmetic number, because the mean of its divisors is an integer number (8245731405960).

Almost surely, 2230310404013032 is an apocalyptic number.

It is an amenable number.

230310404013032 is an abundant number, since it is smaller than the sum of its proper divisors (297416405968408).

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

230310404013032 is a wasteful number, since it uses less digits than its factorization.

230310404013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395274322 (or 2395274318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 23031040 and 4013032, that added together give a palindrome (27044072).

The spelling of 230310404013032 in words is "two hundred thirty trillion, three hundred ten billion, four hundred four million, thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 202 238 404 476 707 808 952 1414 1717 2828 3434 5656 6868 12019 13736 24038 48076 96152 2395274191 4790548382 9581096764 16766919337 19162193528 33533838674 40719661247 67067677348 81439322494 134135354696 162878644988 241922693291 285037628729 325757289976 483845386582 570075257458 967690773164 1140150514916 1693458853037 1935381546328 2280301029832 3386917706074 4112685785947 6773835412148 8225371571894 13547670824296 16450743143788 28788800501629 32901486287576 57577601003258 115155202006516 230310404013032