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230151151032 = 233112337903681
BaseRepresentation
bin1101011001011000010…
…0111101110110111000
3211000001121222212002220
43112112010331312320
512232322143313112
6253421401524040
722425234335265
oct3262604756670
9730047885086
10230151151032
1189674363240
12387311a3620
131891aac704a
14b1d463426c
155ec04a898c
hex359613ddb8

230151151032 has 64 divisors (see below), whose sum is σ = 654975624960. Its totient is φ = 66710476800.

The previous prime is 230151151031. The next prime is 230151151057.

230151151032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230151150993 and 230151151011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230151151031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18945769 + ... + 18957912.

It is an arithmetic number, because the mean of its divisors is an integer number (10233994140).

Almost surely, 2230151151032 is an apocalyptic number.

230151151032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230151151032 is an abundant number, since it is smaller than the sum of its proper divisors (424824473928).

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

230151151032 is a wasteful number, since it uses less digits than its factorization.

230151151032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37903724 (or 37903720 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 230151 and 151032, that added together give a palindrome (381183).

The spelling of 230151151032 in words is "two hundred thirty billion, one hundred fifty-one million, one hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 37903681 75807362 113711043 151614724 227422086 303229448 416940491 454844172 833880982 871784663 909688344 1250821473 1667761964 1743569326 2501642946 2615353989 3335523928 3487138652 5003285892 5230707978 6974277304 9589631293 10006571784 10461415956 19179262586 20922831912 28768893879 38358525172 57537787758 76717050344 115075575516 230151151032