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210212421328 = 24713943715299
BaseRepresentation
bin1100001111000110100…
…0101111111011010000
3202002121001202102220101
43003301220233323100
511421003334440303
6240323101422144
721121155046060
oct3036150577320
9662531672811
10210212421328
1181172482528
12348a786a954
1316a91022630
14a26253b3a0
155704ce1d1d
hex30f1a2fed0

210212421328 has 80 divisors (see below), whose sum is σ = 501361660800. Its totient is φ = 83146710528.

The previous prime is 210212421301. The next prime is 210212421329. The reversal of 210212421328 is 823124212012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 210212421296 and 210212421305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210212421329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13732623 + ... + 13747921.

It is an arithmetic number, because the mean of its divisors is an integer number (6267020760).

Almost surely, 2210212421328 is an apocalyptic number.

210212421328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

210212421328 is an abundant number, since it is smaller than the sum of its proper divisors (291149239472).

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

210212421328 is a wasteful number, since it uses less digits than its factorization.

210212421328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24764 (or 24758 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 210212421328 in words is "two hundred ten billion, two hundred twelve million, four hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 9437 15299 18874 30598 37748 61196 66059 75496 107093 122392 122681 132118 150992 198887 214186 244784 245362 264236 397774 428372 490724 528472 795548 856744 858767 981448 1056944 1392209 1591096 1713488 1717534 1962896 2784418 3182192 3435068 5568836 6870136 11137672 13740272 22275344 144376663 288753326 577506652 1010636641 1155013304 1876896619 2021273282 2310026608 3753793238 4042546564 7507586476 8085093128 13138276333 15015172952 16170186256 26276552666 30030345904 52553105332 105106210664 210212421328