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510120640120 = 235713314520743
BaseRepresentation
bin1110110110001011000…
…11110011111001111000
31210202201011222111111111
413123011203303321320
531324211340440440
61030202435410104
751566156616640
oct7330543637170
91722634874444
10510120640120
11187382891193
1282a46453934
1339147b27620
141a9933cb520
15d4093c14ea
hex76c58f3e78

510120640120 has 128 divisors (see below), whose sum is σ = 1458211184640. Its totient is φ = 156236843520.

The previous prime is 510120640111. The next prime is 510120640121. The reversal of 510120640120 is 21046021015.

It is a super-2 number, since 2×5101206401202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 510120640091 and 510120640100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510120640121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147532 + ... + 2373211.

It is an arithmetic number, because the mean of its divisors is an integer number (11392274880).

Almost surely, 2510120640120 is an apocalyptic number.

It is an amenable number.

510120640120 is an abundant number, since it is smaller than the sum of its proper divisors (948090544520).

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

510120640120 is a wasteful number, since it uses less digits than its factorization.

510120640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520805 (or 4520801 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 510120640120 its reverse (21046021015), we get a palindrome (531166661135).

The spelling of 510120640120 in words is "five hundred ten billion, one hundred twenty million, six hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 1085 1240 1612 1736 1820 2015 2170 2821 3224 3640 4030 4340 5642 8060 8680 11284 14105 16120 22568 28210 56420 112840 4520743 9041486 18082972 22603715 31645201 36165944 45207430 58769659 63290402 90414860 117539318 126580804 140143033 158226005 180829720 235078636 253161608 280286066 293848295 316452010 411387613 470157272 560572132 587696590 632904020 700715165 822775226 981001231 1121144264 1175393180 1265808040 1401430330 1645550452 1821859429 1962002462 2056938065 2350786360 2802860660 3291100904 3643718858 3924004924 4113876130 4905006155 5605721320 7287437716 7848009848 8227752260 9109297145 9810012310 12753016003 14574875432 16455504520 18218594290 19620024620 25506032006 36437188580 39240049240 51012064012 63765080015 72874377160 102024128024 127530160030 255060320060 510120640120