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13542131020 = 22511797331063
BaseRepresentation
bin11001001110010110…
…01000010101001100
31021221202220112102011
430213023020111030
5210213241143040
610115434511004
7656405133355
oct144713102514
937852815364
1013542131020
11581a1a8520
12275b295464
13137a7b85a2
1492676ad2c
15543d3d3ea
hex3272c854c

13542131020 has 96 divisors (see below), whose sum is σ = 31488952320. Its totient is φ = 4850876160.

The previous prime is 13542130991. The next prime is 13542131021. The reversal of 13542131020 is 2013124531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13542130982 and 13542131000.

It is not an unprimeable number, because it can be changed into a prime (13542131021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12739009 + ... + 12740071.

It is an arithmetic number, because the mean of its divisors is an integer number (328009920).

Almost surely, 213542131020 is an apocalyptic number.

13542131020 is a gapful number since it is divisible by the number (10) 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 13542131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744476160).

13542131020 is an abundant number, since it is smaller than the sum of its proper divisors (17946821300).

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

13542131020 is a wasteful number, since it uses less digits than its factorization.

13542131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13542131020 its reverse (2013124531), we get a palindrome (15555255551).

The spelling of 13542131020 in words is "thirteen billion, five hundred forty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 733 790 869 1063 1466 1580 1738 2126 2932 3476 3665 4252 4345 5315 7330 8063 8690 10630 11693 14660 16126 17380 21260 23386 32252 40315 46772 57907 58465 80630 83977 115814 116930 161260 167954 231628 233860 289535 335908 419885 579070 636977 779179 839770 923747 1158140 1273954 1558358 1679540 1847494 2547908 3116716 3184885 3694988 3895895 4618735 6369770 7791790 8570969 9237470 12739540 15583580 17141938 18474940 34283876 42854845 61555141 85709690 123110282 171419380 246220564 307775705 615551410 677106551 1231102820 1354213102 2708426204 3385532755 6771065510 13542131020