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106243412520 = 23357353358301
BaseRepresentation
bin110001011110010011…
…0011101001000101000
3101011020021201120010110
41202330212131020220
53220041303200040
6120450233014320
710450545051240
oct1427446351050
9334207646113
10106243412520
114106a700363
12187108543a0
13a03215268b
1451dc312b20
152b6c404980
hex18bc99d228

106243412520 has 128 divisors (see below), whose sum is σ = 365296055040. Its totient is φ = 24215347200.

The previous prime is 106243412519. The next prime is 106243412581. The reversal of 106243412520 is 25214342601.

It is a super-2 number, since 2×1062434125202 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117370 + ... + 475670.

It is an arithmetic number, because the mean of its divisors is an integer number (2853875430).

Almost surely, 2106243412520 is an apocalyptic number.

106243412520 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 106243412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182648027520).

106243412520 is an abundant number, since it is smaller than the sum of its proper divisors (259052642520).

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

106243412520 is a wasteful number, since it uses less digits than its factorization.

106243412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358675 (or 358671 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 106243412520 in words is "one hundred six billion, two hundred forty-three million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 353 420 706 840 1059 1412 1765 2118 2471 2824 3530 4236 4942 5295 7060 7413 8472 9884 10590 12355 14120 14826 19768 21180 24710 29652 37065 42360 49420 59304 74130 98840 148260 296520 358301 716602 1074903 1433204 1791505 2149806 2508107 2866408 3583010 4299612 5016214 5374515 7166020 7524321 8599224 10032428 10749030 12540535 14332040 15048642 20064856 21498060 25081070 30097284 37621605 42996120 50162140 60194568 75243210 100324280 126480253 150486420 252960506 300972840 379440759 505921012 632401265 758881518 885361771 1011842024 1264802530 1517763036 1770723542 1897203795 2529605060 2656085313 3035526072 3541447084 3794407590 4426808855 5059210120 5312170626 7082894168 7588815180 8853617710 10624341252 13280426565 15177630360 17707235420 21248682504 26560853130 35414470840 53121706260 106243412520