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11521234134540 = 223251347351103981
BaseRepresentation
bin1010011110100111111100…
…0100010110011000001100
31111210102022121122012010100
42213221333010112120030
53002230441414301130
640300440520011100
72266244631213534
oct247517704263014
944712277565110
1011521234134540
113742145346a29
121360a86000a90
136575a8832a80
142bb8b89384c4
1514ea61587c60
hexa7a7f11660c

11521234134540 has 144 divisors (see below), whose sum is σ = 37637188295616. Its totient is φ = 2835908928000.

The previous prime is 11521234134523. The next prime is 11521234134649. The reversal of 11521234134540 is 4543143212511.

11521234134540 is a `hidden beast` number, since 1 + 1 + 5 + 21 + 23 + 41 + 34 + 540 = 666.

11521234134540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11521234134495 and 11521234134504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110749350 + ... + 110853330.

It is an arithmetic number, because the mean of its divisors is an integer number (261369363164).

Almost surely, 211521234134540 is an apocalyptic number.

11521234134540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11521234134540 is an abundant number, since it is smaller than the sum of its proper divisors (26115954161076).

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

11521234134540 is a wasteful number, since it uses less digits than its factorization.

11521234134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151360 (or 151355 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11521234134540 in words is "eleven trillion, five hundred twenty-one billion, two hundred thirty-four million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 47351 94702 103981 142053 189404 207962 236755 284106 311943 415924 426159 473510 519905 568212 615563 623886 710265 852318 935829 947020 1039810 1231126 1247772 1351753 1420530 1559715 1704636 1846689 1871658 2079620 2130795 2462252 2703506 2841060 3077815 3119430 3693378 3743316 4055259 4261590 4679145 5407012 5540067 6155630 6238860 6758765 7386756 8110518 8523180 9233445 9358290 11080134 12165777 12311260 13517530 16221036 18466890 18716580 20276295 22160268 24331554 27035060 27700335 36933780 40552590 48663108 55400670 60828885 81105180 110801340 121657770 243315540 4923604331 9847208662 14770812993 19694417324 24618021655 29541625986 44312438979 49236043310 59083251972 64006856303 73854064965 88624877958 98472086620 128013712606 147708129930 177249755916 192020568909 221562194895 256027425212 295416259860 320034281515 384041137818 443124389790 576061706727 640068563030 768082275636 886248779580 960102844545 1152123413454 1280137126060 1920205689090 2304246826908 2880308533635 3840411378180 5760617067270 11521234134540