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13531121520 = 243578054239
BaseRepresentation
bin11001001101000010…
…01000011101110000
31021221000012012012220
430212201020131300
5210202431342040
610114402521040
7656212430610
oct144641103560
937830165186
1013531121520
115813a68964
122757666180
1313784323a7
14925102a40
15542db62d0
hex326848770

13531121520 has 80 divisors (see below), whose sum is σ = 47938836480. Its totient is φ = 3092827392.

The previous prime is 13531121509. The next prime is 13531121533. The reversal of 13531121520 is 2512113531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×135311215202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025440 + ... + 4028799.

It is an arithmetic number, because the mean of its divisors is an integer number (599235456).

Almost surely, 213531121520 is an apocalyptic number.

13531121520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531121520 is an abundant number, since it is smaller than the sum of its proper divisors (34407714960).

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

13531121520 is a wasteful number, since it uses less digits than its factorization.

13531121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054262 (or 8054256 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 13531121520 in words is "thirteen billion, five hundred thirty-one million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8054239 16108478 24162717 32216956 40271195 48325434 56379673 64433912 80542390 96650868 112759346 120813585 128867824 161084780 169139019 193301736 225518692 241627170 281898365 322169560 338278038 386603472 451037384 483254340 563796730 644339120 676556076 845695095 902074768 966508680 1127593460 1353112152 1691390190 1933017360 2255186920 2706224304 3382780380 4510373840 6765560760 13531121520