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210344305120 = 25525110494993
BaseRepresentation
bin1100001111100101111…
…1110110000111100000
3202002221020220211110021
43003321133312013200
511421241120230440
6240344132243224
721124346043655
oct3037137660740
9662836824407
10210344305120
118122a9707a4
1234923a70514
1316ab244a691
14a275c6bc2c
15571169384a
hex30f97f61e0

210344305120 has 96 divisors (see below), whose sum is σ = 499493887200. Its totient is φ = 83705856000.

The previous prime is 210344305097. The next prime is 210344305153. The reversal of 210344305120 is 21503443012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42125344 + ... + 42130336.

It is an arithmetic number, because the mean of its divisors is an integer number (5203061325).

Almost surely, 2210344305120 is an apocalyptic number.

210344305120 is a gapful number since it is divisible by the number (20) 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 210344305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249746943600).

210344305120 is an abundant number, since it is smaller than the sum of its proper divisors (289149582080).

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

210344305120 is a wasteful number, since it uses less digits than its factorization.

210344305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 210344305120 its reverse (21503443012), we get a palindrome (231847748132).

The spelling of 210344305120 in words is "two hundred ten billion, three hundred forty-four million, three hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1049 1255 2008 2098 2510 4016 4196 4993 5020 5245 8032 8392 9986 10040 10490 16784 19972 20080 20980 24965 33568 39944 40160 41960 49930 79888 83920 99860 159776 167840 199720 263299 399440 526598 798880 1053196 1253243 1316495 2106392 2506486 2632990 4212784 5012972 5237657 5265980 6266215 8425568 10025944 10475314 10531960 12532430 20051888 20950628 21063920 25064860 26188285 40103776 41901256 42127840 50129720 52376570 83802512 100259440 104753140 167605024 200518880 209506280 419012560 838025120 1314651907 2629303814 5258607628 6573259535 10517215256 13146519070 21034430512 26293038140 42068861024 52586076280 105172152560 210344305120