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210320412420 = 223573215322303
BaseRepresentation
bin1100001111100000010…
…0101100111100000100
3202002212120221221211110
43003320010230330010
511421214011144140
6240341520205020
721123636002646
oct3037004547404
9662776857743
10210320412420
1181218431868
1234917a69770
1316aaa5034a1
14a272a0c896
15570e524380
hex30f812cf04

210320412420 has 96 divisors (see below), whose sum is σ = 597268288512. Its totient is φ = 55288977408.

The previous prime is 210320412373. The next prime is 210320412509. The reversal of 210320412420 is 24214023012.

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, 9418989 + ... + 9441291.

It is an arithmetic number, because the mean of its divisors is an integer number (6221544672).

Almost surely, 2210320412420 is an apocalyptic number.

210320412420 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 210320412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298634144256).

210320412420 is an abundant number, since it is smaller than the sum of its proper divisors (386947876092).

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

210320412420 is a wasteful number, since it uses less digits than its factorization.

210320412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24541 (or 24539 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 210320412420 its reverse (24214023012), we get a palindrome (234534435432).

The spelling of 210320412420 in words is "two hundred ten billion, three hundred twenty million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2153 2190 4306 4380 6459 8612 10765 12918 21530 22303 25836 32295 43060 44606 64590 66909 89212 111515 129180 133818 157169 223030 267636 314338 334545 446060 471507 628676 669090 785845 943014 1338180 1571690 1628119 1886028 2357535 3143380 3256238 4715070 4884357 6512476 8140595 9430140 9768714 16281190 19537428 24421785 32562380 48018359 48843570 96036718 97687140 144055077 192073436 240091795 288110154 480183590 576220308 720275385 960367180 1440550770 2881101540 3505340207 7010680414 10516020621 14021360828 17526701035 21032041242 35053402070 42064082484 52580103105 70106804140 105160206210 210320412420