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21032432120 = 2357292699629
BaseRepresentation
bin10011100101101000…
…010111000111111000
32000021210020020212102
4103211220113013320
5321033300311440
613355010002532
71343126503040
oct234550270770
960253206772
1021032432120
118a13294607
1240ab876448
131ca255bb0b
141037476720
15831706b15
hex4e5a171f8

21032432120 has 128 divisors (see below), whose sum is σ = 56162160000. Its totient is φ = 6935857152.

The previous prime is 21032432039. The next prime is 21032432129. The reversal of 21032432120 is 2123423012.

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

It is a junction number, because it is equal to n+sod(n) for n = 21032432092 and 21032432101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21032432129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179466 + ... + 2189094.

It is an arithmetic number, because the mean of its divisors is an integer number (438766875).

Almost surely, 221032432120 is an apocalyptic number.

21032432120 is a gapful number since it is divisible by the number (20) 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 21032432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28081080000).

21032432120 is an abundant number, since it is smaller than the sum of its proper divisors (35129727880).

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

21032432120 is a wasteful number, since it uses less digits than its factorization.

21032432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21032432120 its reverse (2123423012), we get a palindrome (23155855132).

The spelling of 21032432120 in words is "twenty-one billion, thirty-two million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 269 280 290 406 538 580 812 1015 1076 1160 1345 1624 1883 2030 2152 2690 3766 4060 5380 7532 7801 8120 9415 9629 10760 15064 15602 18830 19258 31204 37660 38516 39005 48145 54607 62408 67403 75320 77032 78010 96290 109214 134806 156020 192580 218428 269612 273035 279241 312040 337015 385160 436856 539224 546070 558482 674030 1092140 1116964 1348060 1396205 1954687 2184280 2233928 2590201 2696120 2792410 3909374 5180402 5584820 7818748 9773435 10360804 11169640 12951005 15637496 18131407 19546870 20721608 25902010 36262814 39093740 51804020 72525628 75115829 78187480 90657035 103608040 145051256 150231658 181314070 300463316 362628140 375579145 525810803 600926632 725256280 751158290 1051621606 1502316580 2103243212 2629054015 3004633160 4206486424 5258108030 10516216060 21032432120