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106352340600 = 233521116113991
BaseRepresentation
bin110001100001100010…
…1111110111001111000
3101011111212200200100210
41203003011332321320
53220302144344400
6120505123431120
710453336656642
oct1430305767170
9334455620323
10106352340600
114111613a670
12187412254a0
13a04b8a0b6c
14520c989892
152b76c6e950
hex18c317ee78

106352340600 has 96 divisors (see below), whose sum is σ = 359664301440. Its totient is φ = 25782384000.

The previous prime is 106352340599. The next prime is 106352340643. The reversal of 106352340600 is 6043253601.

It is a super-2 number, since 2×1063523406002 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8050396 + ... + 8063595.

It is an arithmetic number, because the mean of its divisors is an integer number (3746503140).

Almost surely, 2106352340600 is an apocalyptic number.

106352340600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106352340600 is an abundant number, since it is smaller than the sum of its proper divisors (253311960840).

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

106352340600 is a wasteful number, since it uses less digits than its factorization.

106352340600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114021 (or 16114012 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 106352340600 in words is "one hundred six billion, three hundred fifty-two million, three hundred forty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 16113991 32227982 48341973 64455964 80569955 96683946 128911928 161139910 177253901 193367892 241709865 322279820 354507802 386735784 402849775 483419730 531761703 644559640 709015604 805699550 886269505 966839460 1063523406 1208549325 1418031208 1611399100 1772539010 1933678920 2127046812 2417098650 2658808515 3222798200 3545078020 4254093624 4431347525 4834197300 5317617030 7090156040 8862695050 9668394600 10635234060 13294042575 17725390100 21270468120 26588085150 35450780200 53176170300 106352340600