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10031003120 = 2452814091091
BaseRepresentation
bin10010101011110010…
…01111010111110000
3221220002002202102002
421111321033113300
5131020414044440
64335211113132
7503402056025
oct112571172760
927802082362
1010031003120
114288270126
121b3b4427a8
13c3b253c08
146b231354c
153da984115
hex255e4f5f0

10031003120 has 80 divisors (see below), whose sum is σ = 23483809440. Its totient is φ = 3984691200.

The previous prime is 10031003093. The next prime is 10031003173. The reversal of 10031003120 is 2130013001.

It is a tau number, because it is divible by the number of its divisors (80).

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, 9193775 + ... + 9194865.

It is an arithmetic number, because the mean of its divisors is an integer number (293547618).

Almost surely, 210031003120 is an apocalyptic number.

10031003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031003120 is an abundant number, since it is smaller than the sum of its proper divisors (13452806320).

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

10031003120 is a wasteful number, since it uses less digits than its factorization.

10031003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10031003120 its reverse (2130013001), we get a palindrome (12161016121).

The spelling of 10031003120 in words is "ten billion, thirty-one million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 409 562 818 1091 1124 1405 1636 2045 2182 2248 2810 3272 4090 4364 4496 5455 5620 6544 8180 8728 10910 11240 16360 17456 21820 22480 32720 43640 87280 114929 229858 306571 446219 459716 574645 613142 892438 919432 1149290 1226284 1532855 1784876 1838864 2231095 2298580 2452568 3065710 3569752 4462190 4597160 4905136 6131420 7139504 8924380 9194320 12262840 17848760 24525680 35697520 125387539 250775078 501550156 626937695 1003100312 1253875390 2006200624 2507750780 5015501560 10031003120