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10130311300120 = 2351171932021467
BaseRepresentation
bin1001001101101010010110…
…0110110100010000011000
31022212110002210221011221021
42103122211212310100120
52311433334143100440
633313444544252224
72063614362204214
oct223324546642030
938773083834837
1010130311300120
1132562716a5580
1211773a4911074
135863906863bb
14270449aad944
151287a529884a
hex936a59b4418

10130311300120 has 64 divisors (see below), whose sum is σ = 24899893516800. Its totient is φ = 3678626014080.

The previous prime is 10130311300091. The next prime is 10130311300133. The reversal of 10130311300120 is 2100311303101.

It is a junction number, because it is equal to n+sod(n) for n = 10130311300094 and 10130311300103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15694374 + ... + 16327093.

It is an arithmetic number, because the mean of its divisors is an integer number (389060836200).

Almost surely, 210130311300120 is an apocalyptic number.

10130311300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130311300120 is an abundant number, since it is smaller than the sum of its proper divisors (14769582216680).

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

10130311300120 is a wasteful number, since it uses less digits than its factorization.

10130311300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32022208 (or 32022204 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10130311300120 its reverse (2100311303101), we get a palindrome (12230622603221).

The spelling of 10130311300120 in words is "ten trillion, one hundred thirty billion, three hundred eleven million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 719 1438 2876 3595 5752 7190 7909 14380 15818 28760 31636 39545 63272 79090 158180 316360 32021467 64042934 128085868 160107335 256171736 320214670 352236137 640429340 704472274 1280858680 1408944548 1761180685 2817889096 3522361370 7044722740 14089445480 23023434773 46046869546 92093739092 115117173865 184187478184 230234347730 253257782503 460468695460 506515565006 920937390920 1013031130012 1266288912515 2026062260024 2532577825030 5065155650060 10130311300120