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420311164125 = 3531779338311
BaseRepresentation
bin1100001110111000111…
…11110110010011011101
31111011220012121102011210
412013130133312103131
523341244124223000
6521031022535033
742236462642646
oct6073437662335
91434805542153
10420311164125
11152286770656
1269561437479
1330834622458
14164b39266cd
15adeeb2b350
hex61dc7f64dd

420311164125 has 64 divisors (see below), whose sum is σ = 740721286656. Its totient is φ = 210927744000.

The previous prime is 420311164109. The next prime is 420311164153. The reversal of 420311164125 is 521461113024.

It is not a de Polignac number, because 420311164125 - 24 = 420311164109 is a prime.

It is a super-2 number, since 2×4203111641252 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420311164092 and 420311164101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50568720 + ... + 50577030.

It is an arithmetic number, because the mean of its divisors is an integer number (11573770104).

Almost surely, 2420311164125 is an apocalyptic number.

It is an amenable number.

420311164125 is a deficient number, since it is larger than the sum of its proper divisors (320410122531).

420311164125 is a wasteful number, since it uses less digits than its factorization.

420311164125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16279 (or 16269 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 420311164125 its reverse (521461113024), we get a palindrome (941772277149).

The spelling of 420311164125 in words is "four hundred twenty billion, three hundred eleven million, one hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 1275 2125 6375 7933 8311 23799 24933 39665 41555 118995 124665 134861 141287 198325 207775 404583 423861 594975 623325 674305 706435 991625 1038875 2022915 2119305 2974875 3116625 3371525 3532175 10114575 10596525 16857625 17660875 50572875 52982625 65931163 197793489 329655815 988967445 1120829771 1648279075 3362489313 4944837225 5604148855 8241395375 16812446565 24724186125 28020744275 84062232825 140103721375 420311164125