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10132334300 = 22521127311471
BaseRepresentation
bin10010110111110111…
…10010011011011100
3222011010202220122202
421123323302123130
5131222334144200
64353231031032
7506042264144
oct113373623334
928133686582
1010132334300
11432a490800
121b6936b478
13c562425aa
146c196d924
153e47ed1d5
hex25bef26dc

10132334300 has 108 divisors (see below), whose sum is σ = 24500911008. Its totient is φ = 3633696000.

The previous prime is 10132334239. The next prime is 10132334309. The reversal of 10132334300 is 343323101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132334309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 877565 + ... + 889035.

Almost surely, 210132334300 is an apocalyptic number.

10132334300 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 10132334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250455504).

10132334300 is an abundant number, since it is smaller than the sum of its proper divisors (14368576708).

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

10132334300 is a wasteful number, since it uses less digits than its factorization.

10132334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10132334300 its reverse (343323101), we get a palindrome (10475657401).

The spelling of 10132334300 in words is "ten billion, one hundred thirty-two million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 121 146 220 242 275 292 365 484 550 605 730 803 1100 1210 1460 1606 1825 2420 3025 3212 3650 4015 6050 7300 8030 8833 11471 12100 16060 17666 20075 22942 35332 40150 44165 45884 57355 80300 88330 114710 126181 176660 220825 229420 252362 286775 441650 504724 573550 630905 837383 883300 1147100 1261810 1387991 1674766 2523620 2775982 3154525 3349532 4186915 5551964 6309050 6939955 8373830 9211213 12618100 13879910 16747660 18422426 20934575 27759820 34699775 36844852 41869150 46056065 69399550 83738300 92112130 101323343 138799100 184224260 202646686 230280325 405293372 460560650 506616715 921121300 1013233430 2026466860 2533083575 5066167150 10132334300