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10004300130 = 23511371097517
BaseRepresentation
bin10010101000100110…
…11000000101100010
3221211012212002210110
421110103120011202
5130442100101010
64332414512150
7502626101526
oct112423300542
927735762713
1010004300130
114274191840
121b32505656
13c35864826
146ac961d86
153d845c120
hex2544d8162

10004300130 has 128 divisors (see below), whose sum is σ = 27151407360. Its totient is φ = 2337776640.

The previous prime is 10004300113. The next prime is 10004300153. The reversal of 10004300130 is 3100340001.

It is a super-2 number, since 2×100043001302 (a number of 21 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 63 ways as a sum of consecutive naturals, for example, 1327132 + ... + 1334648.

It is an arithmetic number, because the mean of its divisors is an integer number (212120370).

Almost surely, 210004300130 is an apocalyptic number.

10004300130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575703680).

10004300130 is an abundant number, since it is smaller than the sum of its proper divisors (17147107230).

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

10004300130 is a wasteful number, since it uses less digits than its factorization.

10004300130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10004300130 its reverse (3100340001), we get a palindrome (13104640131).

The spelling of 10004300130 in words is "ten billion, four million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 109 110 111 165 185 218 222 327 330 370 407 545 555 654 814 1090 1110 1199 1221 1635 2035 2398 2442 3270 3597 4033 4070 5995 6105 7194 7517 8066 11990 12099 12210 15034 17985 20165 22551 24198 35970 37585 40330 44363 45102 60495 75170 82687 88726 112755 120990 133089 165374 221815 225510 248061 266178 278129 413435 443630 496122 556258 665445 819353 826870 834387 1240305 1330890 1390645 1638706 1668774 2458059 2480610 2781290 3059419 4096765 4171935 4916118 6118838 8193530 8343870 9012883 9178257 12290295 15297095 18025766 18356514 24580590 27038649 30316061 30594190 45064415 45891285 54077298 60632122 90128830 90948183 91782570 135193245 151580305 181896366 270386490 303160610 333476671 454740915 666953342 909481830 1000430013 1667383355 2000860026 3334766710 5002150065 10004300130