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2132411504520 = 2335112381678481
BaseRepresentation
bin11111000001111101101…
…000010101011110001000
321112212010102110012220010
4133001331220111132020
5234414134321121040
64311341043031520
7310030100502603
oct37017550253610
97485112405803
102132411504520
1175239477aa60
122a533836b5a0
13126115c2214b
14752d033133a
153a7078dae80
hex1f07da15788

2132411504520 has 128 divisors (see below), whose sum is σ = 6981742615680. Its totient is φ = 516730368000.

The previous prime is 2132411504513. The next prime is 2132411504533. The reversal of 2132411504520 is 254051142312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2803680 + ... + 3482160.

It is an arithmetic number, because the mean of its divisors is an integer number (54544864185).

Almost surely, 22132411504520 is an apocalyptic number.

2132411504520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132411504520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490871307840).

2132411504520 is an abundant number, since it is smaller than the sum of its proper divisors (4849331111160).

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

2132411504520 is a wasteful number, since it uses less digits than its factorization.

2132411504520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680887 (or 680883 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2132411504520 its reverse (254051142312), we get a palindrome (2386462646832).

The spelling of 2132411504520 in words is "two trillion, one hundred thirty-two billion, four hundred eleven million, five hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2381 4762 7143 9524 11905 14286 19048 23810 26191 28572 35715 47620 52382 57144 71430 78573 95240 104764 130955 142860 157146 209528 261910 285720 314292 392865 523820 628584 678481 785730 1047640 1356962 1571460 2035443 2713924 3142920 3392405 4070886 5427848 6784810 7463291 8141772 10177215 13569620 14926582 16283544 20354430 22389873 27139240 29853164 37316455 40708860 44779746 59706328 74632910 81417720 89559492 111949365 149265820 179118984 223898730 298531640 447797460 895594920 1615463261 3230926522 4846389783 6461853044 8077316305 9692779566 12923706088 16154632610 17770095871 19385559132 24231948915 32309265220 35540191742 38771118264 48463897830 53310287613 64618530440 71080383484 88850479355 96927795660 106620575226 142160766968 177700958710 193855591320 213241150452 266551438065 355401917420 426482300904 533102876130 710803834840 1066205752260 2132411504520