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10421303200 = 2552711169177
BaseRepresentation
bin10011011010010100…
…00111011110100000
3222220021112001110121
421231022013132200
5132320323200300
64442032410024
7516151421110
oct115512073640
928807461417
1010421303200
114468610380
12202a0a6914
13ca107a3c9
1470c0b1040
1540ed7d81a
hex26d2877a0

10421303200 has 144 divisors (see below), whose sum is σ = 31718844864. Its totient is φ = 3248179200.

The previous prime is 10421303177. The next prime is 10421303237. The reversal of 10421303200 is 230312401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22989 + ... + 146188.

It is an arithmetic number, because the mean of its divisors is an integer number (220269756).

Almost surely, 210421303200 is an apocalyptic number.

10421303200 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 10421303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859422432).

10421303200 is an abundant number, since it is smaller than the sum of its proper divisors (21297541664).

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

10421303200 is a wasteful number, since it uses less digits than its factorization.

10421303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169215 (or 169202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10421303200 its reverse (230312401), we get a palindrome (10651615601).

The spelling of 10421303200 in words is "ten billion, four hundred twenty-one million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 350 352 385 400 440 550 560 616 700 770 800 880 1100 1120 1232 1400 1540 1760 1925 2200 2464 2800 3080 3850 4400 5600 6160 7700 8800 12320 15400 30800 61600 169177 338354 676708 845885 1184239 1353416 1691770 1860947 2368478 2706832 3383540 3721894 4229425 4736956 5413664 5921195 6767080 7443788 8458850 9304735 9473912 11842390 13026629 13534160 14887576 16917700 18609470 18947824 23684780 26053258 27068320 29605975 29775152 33835400 37218940 37895648 46523675 47369560 52106516 59211950 59550304 65133145 67670800 74437880 93047350 94739120 104213032 118423900 130266290 135341600 148875760 186094700 189478240 208426064 236847800 260532580 297751520 325665725 372189400 416852128 473695600 521065160 651331450 744378800 947391200 1042130320 1302662900 1488757600 2084260640 2605325800 5210651600 10421303200