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10241126356520 = 2356112409338237
BaseRepresentation
bin1001010100000111001010…
…1100101101011000101000
31100021001010201000022111102
42111001302230231120220
52320242311321402040
633440413011420532
72104616441510333
oct225016254553050
940231121008442
1010241126356520
11329926792a614
1211949705b4748
135939709a83a7
1427595d21b61a
1512b5ddbde515
hex95072b2d628

10241126356520 has 64 divisors (see below), whose sum is σ = 23422237376400. Its totient is φ = 4028958996480.

The previous prime is 10241126356499. The next prime is 10241126356541. The reversal of 10241126356520 is 2565362114201.

It is an interprime number because it is at equal distance from previous prime (10241126356499) and next prime (10241126356541).

It can be written as a sum of positive squares in 8 ways, for example, as 1940008836964 + 8301117519556 = 1392842^2 + 2881166^2 .

It is a super-2 number, since 2×102411263565202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30108842 + ... + 30447078.

Almost surely, 210241126356520 is an apocalyptic number.

10241126356520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241126356520 is an abundant number, since it is smaller than the sum of its proper divisors (13181111019880).

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

10241126356520 is a wasteful number, since it uses less digits than its factorization.

10241126356520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350718 (or 350714 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 10241126356520 in words is "ten trillion, two hundred forty-one billion, one hundred twenty-six million, three hundred fifty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 12409 24818 49636 62045 99272 124090 248180 338237 496360 676474 756949 1352948 1513898 1691185 2705896 3027796 3382370 3784745 6055592 6764740 7569490 13529480 15138980 20632457 30277960 41264914 82529828 103162285 165059656 206324570 412649140 825298280 4197182933 8394365866 16788731732 20985914665 33577463464 41971829330 83943658660 167887317320 256028158913 512056317826 1024112635652 1280140794565 2048225271304 2560281589130 5120563178260 10241126356520