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220123021032 = 23324321653469
BaseRepresentation
bin1100110100000001011…
…0101011111011101000
3210001011202022001212200
43031000112223323220
512101302443133112
6245042332140200
721621565543545
oct3150026537350
9701152261780
10220123021032
11853987857a2
12367b2907660
13179b033ab05
14a92286bbcc
155ad4de0cdc
hex33405abee8

220123021032 has 72 divisors (see below), whose sum is σ = 610353648450. Its totient is φ = 71667916992.

The previous prime is 220123021007. The next prime is 220123021033. The reversal of 220123021032 is 230120321022.

220123021032 is a `hidden beast` number, since 220 + 1 + 230 + 210 + 3 + 2 = 666.

220123021032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 212563414116 + 7559606916 = 461046^2 + 86946^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220123020996 and 220123021014.

It is not an unprimeable number, because it can be changed into a prime (220123021033) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 693607 + ... + 959862.

Almost surely, 2220123021032 is an apocalyptic number.

It is an amenable number.

220123021032 is an abundant number, since it is smaller than the sum of its proper divisors (390230627418).

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

220123021032 is a wasteful number, since it uses less digits than its factorization.

220123021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653567 (or 1653517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220123021032 its reverse (230120321022), we get a palindrome (450243342054).

The spelling of 220123021032 in words is "two hundred twenty billion, one hundred twenty-three million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 1849 3096 3698 5547 7396 11094 14792 16641 22188 33282 44376 66564 133128 1653469 3306938 4960407 6613876 9920814 13227752 14881221 19841628 29762442 39683256 59524884 71099167 119049768 142198334 213297501 284396668 426595002 568793336 639892503 853190004 1279785006 1706380008 2559570012 3057264181 5119140024 6114528362 9171792543 12229056724 18343585086 24458113448 27515377629 36687170172 55030755258 73374340344 110061510516 220123021032