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130210204040 = 23574335849
BaseRepresentation
bin111100101000100100…
…0100000100110001000
3110110002120110201100122
41321101020200212020
54113132303012130
6135452344322412
712256505321060
oct1712110404610
9413076421318
10130210204040
11502492a1584
122129b173408
13c3815c2517
1464333863a0
1535c15362e5
hex1e51220988

130210204040 has 128 divisors (see below), whose sum is σ = 342856800000. Its totient is φ = 43597822464.

The previous prime is 130210203983. The next prime is 130210204051. The reversal of 130210204040 is 40402012031.

It is a super-2 number, since 2×1302102040402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22259036 + ... + 22264884.

It is an arithmetic number, because the mean of its divisors is an integer number (2678568750).

Almost surely, 2130210204040 is an apocalyptic number.

130210204040 is a gapful number since it is divisible by the number (10) 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 130210204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171428400000).

130210204040 is an abundant number, since it is smaller than the sum of its proper divisors (212646595960).

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

130210204040 is an frugal number, since it uses more digits than its factorization.

130210204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 130210204040 its reverse (40402012031), we get a palindrome (170612216071).

The spelling of 130210204040 in words is "one hundred thirty billion, two hundred ten million, two hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 1849 2408 3010 3698 5849 6020 7396 9245 11698 12040 12943 14792 18490 23396 25886 29245 36980 40943 46792 51772 58490 64715 73960 79507 81886 103544 116980 129430 159014 163772 204715 233960 251507 258860 318028 327544 397535 409430 503014 517720 556549 636056 795070 818860 1006028 1113098 1257535 1590140 1637720 1760549 2012056 2226196 2515070 2782745 3180280 3521098 4452392 5030140 5565490 7042196 8802745 10060280 10814801 11130980 14084392 17605490 21629602 22261960 35210980 43259204 54074005 70421960 75703607 86518408 108148010 151407214 216296020 302814428 378518035 432592040 465036443 605628856 757036070 930072886 1514072140 1860145772 2325182215 3028144280 3255255101 3720291544 4650364430 6510510202 9300728860 13021020404 16276275505 18601457720 26042040808 32552551010 65105102020 130210204040