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330153113120 = 25517121379821
BaseRepresentation
bin1001100110111101010…
…10001011011000100000
31011120011221022212211112
410303132222023120200
520402123144104440
6411400435002452
732565334105205
oct4633652133040
91146157285745
10330153113120
111180209094a6
1253b9b739428
1325196b4288c
1411d9da45cac
1588c497e965
hex4cdea8b620

330153113120 has 48 divisors (see below), whose sum is σ = 825868308888. Its totient is φ = 124292935680.

The previous prime is 330153113119. The next prime is 330153113123. The reversal of 330153113120 is 21311351033.

It can be written as a sum of positive squares in 4 ways, for example, as 201791420944 + 128361692176 = 449212^2 + 358276^2 .

It is a super-2 number, since 2×3301531131202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330153113123) 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, 60687191 + ... + 60692630.

Almost surely, 2330153113120 is an apocalyptic number.

It is an amenable number.

330153113120 is an abundant number, since it is smaller than the sum of its proper divisors (495715195768).

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

330153113120 is a wasteful number, since it uses less digits than its factorization.

330153113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121379853 (or 121379845 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 330153113120 its reverse (21311351033), we get a palindrome (351464464153).

The spelling of 330153113120 in words is "three hundred thirty billion, one hundred fifty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 121379821 242759642 485519284 606899105 971038568 1213798210 1942077136 2063456957 2427596420 3884154272 4126913914 4855192840 8253827828 9710385680 10317284785 16507655656 19420771360 20634569570 33015311312 41269139140 66030622624 82538278280 165076556560 330153113120