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212430340112100 = 223521164372830337
BaseRepresentation
bin110000010011010001001010…
…111101100011111011100100
31000212011010211122112220211020
4300103101022331203323210
5210320424314032041400
62031445052341411140
762513404601042415
oct6023211275437344
91025133748486736
10212430340112100
1161761223a44860
121b9aa50b109ab0
13916c130c85546
143a6597d06580c
151985c022b62a0
hexc1344af63ee4

212430340112100 has 72 divisors (see below), whose sum is σ = 670507400800608. Its totient is φ = 51498264268800.

The previous prime is 212430340112099. The next prime is 212430340112117. The reversal of 212430340112100 is 1211043034212.

212430340112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 32186411869 + ... + 32186418468.

Almost surely, 2212430340112100 is an apocalyptic number.

212430340112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212430340112100 is an abundant number, since it is smaller than the sum of its proper divisors (458077060688508).

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

212430340112100 is a wasteful number, since it uses less digits than its factorization.

212430340112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64372830365 (or 64372830358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212430340112100 its reverse (1211043034212), we get a palindrome (213641383146312).

The spelling of 212430340112100 in words is "two hundred twelve trillion, four hundred thirty billion, three hundred forty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 64372830337 128745660674 193118491011 257491321348 321864151685 386236982022 643728303370 708101133707 772473964044 965592455055 1287456606740 1416202267414 1609320758425 1931184910110 2124303401121 2832404534828 3218641516850 3540505668535 3862369820220 4248606802242 4827962275275 6437283033700 7081011337070 8497213604484 9655924550550 10621517005605 14162022674140 17702528342675 19311849101100 21243034011210 35405056685350 42486068022420 53107585028025 70810113370700 106215170056050 212430340112100