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210013240304 = 24722353219749
BaseRepresentation
bin1100001110010111000…
…0111011101111110000
3202002002011221222220102
43003211300323233300
511420101342142204
6240251224331532
721113216042300
oct3034560735760
9662064858812
10210013240304
118107aaa990a
1234851013ba8
1316a5b99403a
14a243ccd600
1556e259a41e
hex30e5c3bbf0

210013240304 has 120 divisors (see below), whose sum is σ = 503234532000. Its totient is φ = 84467615232.

The previous prime is 210013240301. The next prime is 210013240309. The reversal of 210013240304 is 403042310012.

It is a super-2 number, since 2×2100132403042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210013240301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845822 + ... + 1065570.

It is an arithmetic number, because the mean of its divisors is an integer number (4193621100).

Almost surely, 2210013240304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210013240304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251617266000).

210013240304 is an abundant number, since it is smaller than the sum of its proper divisors (293221291696).

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

210013240304 is a wasteful number, since it uses less digits than its factorization.

210013240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219847 (or 219834 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 210013240304 its reverse (403042310012), we get a palindrome (613055550316).

The spelling of 210013240304 in words is "two hundred ten billion, thirteen million, two hundred forty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 53 56 92 98 106 112 161 184 196 212 322 368 371 392 424 644 742 784 848 1127 1219 1288 1484 2254 2438 2576 2597 2968 4508 4876 5194 5936 8533 9016 9752 10388 17066 18032 19504 20776 34132 41552 59731 68264 119462 136528 219749 238924 439498 477848 878996 955696 1538243 1757992 3076486 3515984 5054227 6152972 10108454 10767701 11646697 12305944 20216908 21535402 23293394 24611888 35379589 40433816 43070804 46586788 70759178 80867632 81526879 86141608 93173576 141518356 163053758 172283216 186347152 247657123 267874031 283036712 326107516 495314246 535748062 566073424 570688153 652215032 990628492 1071496124 1141376306 1304430064 1875118217 1981256984 2142992248 2282752612 3750236434 3962513968 4285984496 4565505224 7500472868 9131010448 13125827519 15000945736 26251655038 30001891472 52503310076 105006620152 210013240304