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105502520000 = 26547336131
BaseRepresentation
bin110001001000001110…
…0001011001011000000
3101002022122121022122202
41202100130023023000
53212032121120000
6120244525052332
710423310423603
oct1422034131300
9332278538582
10105502520000
114081a470899
12185446b70a8
139c447c6437
14516bb7233a
152b27355dd5
hex189070b2c0

105502520000 has 140 divisors (see below), whose sum is σ = 265203026616. Its totient is φ = 41621760000.

The previous prime is 105502519951. The next prime is 105502520027. The reversal of 105502520000 is 25205501.

It is a super-2 number, since 2×1055025200002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2901935 + ... + 2938065.

Almost surely, 2105502520000 is an apocalyptic number.

105502520000 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 105502520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132601513308).

105502520000 is an abundant number, since it is smaller than the sum of its proper divisors (159700506616).

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

105502520000 is an frugal number, since it uses more digits than its factorization.

105502520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36236 (or 36211 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 105502520000 its reverse (25205501), we get a palindrome (105527725501).

The spelling of 105502520000 in words is "one hundred five billion, five hundred two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 250 292 320 365 400 500 584 625 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3650 4000 4672 5000 5840 7300 8000 9125 10000 11680 14600 18250 20000 23360 29200 36131 36500 40000 45625 58400 72262 73000 91250 116800 144524 146000 180655 182500 289048 292000 361310 365000 578096 584000 722620 730000 903275 1156192 1445240 1460000 1806550 2312384 2637563 2890480 2920000 3613100 4516375 5275126 5780960 7226200 9032750 10550252 11561920 13187815 14452400 18065500 21100504 22581875 26375630 28904800 36131000 42201008 45163750 52751260 57809600 65939075 72262000 84402016 90327500 105502520 131878150 144524000 168804032 180655000 211005040 263756300 289048000 329695375 361310000 422010080 527512600 659390750 722620000 844020160 1055025200 1318781500 1445240000 1648476875 2110050400 2637563000 3296953750 4220100800 5275126000 6593907500 10550252000 13187815000 21100504000 26375630000 52751260000 105502520000