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211230121010100 = 223521492347182229
BaseRepresentation
bin110000000001110011011000…
…010101000010001110110100
31000200220101212022120021101220
4300001303120111002032310
5210141243241434310400
62025125440012550340
762330605212023133
oct6001633025021664
91020811768507356
10211230121010100
1161339211609135
121b8359901823b0
1390b2bb8185aaa
143a238417c591a
1519648a824b7a0
hexc01cd85423b4

211230121010100 has 72 divisors (see below), whose sum is σ = 611200117251360. Its totient is φ = 56324256497280.

The previous prime is 211230121010093. The next prime is 211230121010197. The reversal of 211230121010100 is 1010121032112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211230121010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19114215 + ... + 28068014.

It is an arithmetic number, because the mean of its divisors is an integer number (8488890517380).

Almost surely, 2211230121010100 is an apocalyptic number.

211230121010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211230121010100 is an abundant number, since it is smaller than the sum of its proper divisors (399969996241260).

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

211230121010100 is a wasteful number, since it uses less digits than its factorization.

211230121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47197169 (or 47197162 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211230121010100 its reverse (1010121032112), we get a palindrome (212240242042212).

The spelling of 211230121010100 in words is "two hundred eleven trillion, two hundred thirty billion, one hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 14923 29846 44769 59692 74615 89538 149230 179076 223845 298460 373075 447690 746150 895380 1119225 1492300 2238450 4476900 47182229 94364458 141546687 188728916 235911145 283093374 471822290 566186748 707733435 943644580 1179555725 1415466870 2359111450 2830933740 3538667175 4718222900 7077334350 14154668700 704100403367 1408200806734 2112301210101 2816401613468 3520502016835 4224602420202 7041004033670 8449204840404 10561506050505 14082008067340 17602510084175 21123012101010 35205020168350 42246024202020 52807530252525 70410040336700 105615060505050 211230121010100