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214014603100 = 225217294341067
BaseRepresentation
bin1100011101010001000…
…0111010111101011100
3202110102001020021202111
43013110100322331130
512001300214244400
6242152243403404
721314324053114
oct3072420727534
9673361207674
10214014603100
1182843733a11
1235589083564
1317248971b2c
14a5034ba044
1558789de3ba
hex31d443af5c

214014603100 has 72 divisors (see below), whose sum is σ = 508686348240. Its totient is φ = 77791902720.

The previous prime is 214014603079. The next prime is 214014603119. The reversal of 214014603100 is 1306410412.

It is a super-2 number, since 2×2140146031002 (a number of 23 digits) contains 22 as substring.

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, 2121234 + ... + 2219833.

It is an arithmetic number, because the mean of its divisors is an integer number (7065088170).

Almost surely, 2214014603100 is an apocalyptic number.

214014603100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214014603100 is an abundant number, since it is smaller than the sum of its proper divisors (294671745140).

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

214014603100 is a wasteful number, since it uses less digits than its factorization.

214014603100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341127 (or 4341120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 214014603100 in words is "two hundred fourteen billion, fourteen million, six hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 49300 4341067 8682134 17364268 21705335 43410670 73798139 86821340 108526675 125890943 147596278 217053350 251781886 295192556 368990695 434106700 503563772 629454715 737981390 1258909430 1475962780 1844953475 2140146031 2517818860 3147273575 3689906950 4280292062 6294547150 7379813900 8560584124 10700730155 12589094300 21401460310 42802920620 53503650775 107007301550 214014603100