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210223200120 = 23358338355109
BaseRepresentation
bin1100001111001001000…
…1110111011101111000
3202002121211001001121220
43003302101313131320
511421014114400440
6240324124432040
721121345501113
oct3036221673570
9662554031556
10210223200120
118117857481a
12348ab3a8620
1316a9332780b
14a263b4557a
155705c208d0
hex30f2477778

210223200120 has 128 divisors (see below), whose sum is σ = 639946137600. Its totient is φ = 55238495744.

The previous prime is 210223200113. The next prime is 210223200139. The reversal of 210223200120 is 21002322012.

It is a happy number.

210223200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 210223200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3787126 + ... + 3842234.

It is an arithmetic number, because the mean of its divisors is an integer number (4999579200).

Almost surely, 2210223200120 is an apocalyptic number.

210223200120 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 210223200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319973068800).

210223200120 is an abundant number, since it is smaller than the sum of its proper divisors (429722937480).

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

210223200120 is a wasteful number, since it uses less digits than its factorization.

210223200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55589 (or 55585 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 210223200120 its reverse (21002322012), we get a palindrome (231225522132).

The spelling of 210223200120 in words is "two hundred ten billion, two hundred twenty-three million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 383 415 498 664 766 830 996 1149 1245 1532 1660 1915 1992 2298 2490 3064 3320 3830 4596 4980 5745 7660 9192 9960 11490 15320 22980 31789 45960 55109 63578 95367 110218 127156 158945 165327 190734 220436 254312 275545 317890 330654 381468 440872 476835 551090 635780 661308 762936 826635 953670 1102180 1271560 1322616 1653270 1907340 2204360 3306540 3814680 4574047 6613080 9148094 13722141 18296188 21106747 22870235 27444282 36592376 42213494 45740470 54888564 63320241 68610705 84426988 91480940 105533735 109777128 126640482 137221410 168853976 182961880 211067470 253280964 274442820 316601205 422134940 506561928 548885640 633202410 844269880 1266404820 1751860001 2532809640 3503720002 5255580003 7007440004 8759300005 10511160006 14014880008 17518600010 21022320012 26277900015 35037200020 42044640024 52555800030 70074400040 105111600060 210223200120