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230421124032 = 26311109100911
BaseRepresentation
bin1101011010011000101…
…0110101001111000000
3211000202102222220102220
43112212022311033000
512233400301432112
6253504244211040
722435023144501
oct3264612651700
9730672886386
10230421124032
11897a2798a20
12387a7699a80
1318961a10798
14b21c42cba8
155ed903598c
hex35a62b53c0

230421124032 has 56 divisors (see below), whose sum is σ = 665079159552. Its totient is φ = 69824582400.

The previous prime is 230421124019. The next prime is 230421124033.

It is a happy number.

230421124032 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 = 230421123993 and 230421124011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230421124033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54548344 + ... + 54552567.

Almost surely, 2230421124032 is an apocalyptic number.

230421124032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230421124032 is an abundant number, since it is smaller than the sum of its proper divisors (434658035520).

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

230421124032 is a wasteful number, since it uses less digits than its factorization.

230421124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109100937 (or 109100927 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 230421 and 124032, that added together give a palindrome (354453).

The spelling of 230421124032 in words is "two hundred thirty billion, four hundred twenty-one million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 109100911 218201822 327302733 436403644 654605466 872807288 1200110021 1309210932 1745614576 2400220042 2618421864 3491229152 3600330063 4800440084 5236843728 6982458304 7200660126 9600880168 10473687456 14401320252 19201760336 20947374912 28802640504 38403520672 57605281008 76807041344 115210562016 230421124032