Search a number
-
+
10130031332300 = 22521113017078493
BaseRepresentation
bin1001001101101001010011…
…1010110100101111001100
31022212102101022010100021202
42103122110322310233030
52311432301010113200
633313401103445032
72063604422416415
oct223322472645714
938772338110252
1010130031332300
113256138663610
121177326bb6778
13586347680579
1427042083280c
1512878a8e51d5
hex93694eb4bcc

10130031332300 has 72 divisors (see below), whose sum is σ = 23998982685552. Its totient is φ = 3680815840000.

The previous prime is 10130031332297. The next prime is 10130031332303. The reversal of 10130031332300 is 323313003101.

It is an interprime number because it is at equal distance from previous prime (10130031332297) and next prime (10130031332303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10130031332303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2108147 + ... + 4970346.

It is an arithmetic number, because the mean of its divisors is an integer number (333319203966).

Almost surely, 210130031332300 is an apocalyptic number.

10130031332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130031332300 is an abundant number, since it is smaller than the sum of its proper divisors (13868951353252).

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

10130031332300 is a wasteful number, since it uses less digits than its factorization.

10130031332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079819 (or 7079812 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10130031332300 its reverse (323313003101), we get a palindrome (10453344335401).

The spelling of 10130031332300 in words is "ten trillion, one hundred thirty billion, thirty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1301 2602 5204 6505 13010 14311 26020 28622 32525 57244 65050 71555 130100 143110 286220 357775 715550 1431100 7078493 14156986 28313972 35392465 70784930 77863423 141569860 155726846 176962325 311453692 353924650 389317115 707849300 778634230 1557268460 1946585575 3893171150 7786342300 9209119393 18418238786 36836477572 46045596965 92091193930 101300313323 184182387860 202600626646 230227984825 405201253292 460455969650 506501566615 920911939300 1013003133230 2026006266460 2532507833075 5065015666150 10130031332300