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10021232320 = 2651119149839
BaseRepresentation
bin10010101010100111…
…11101111011000000
3221212101201100101121
421111103331323000
5131010413413240
64334221442024
7503223032521
oct112523757300
927771640347
1010021232320
1142827a7190
121b38110314
13c39212788
146b0ccc848
153d9ba404a
hex2554fdec0

10021232320 has 112 divisors (see below), whose sum is σ = 27402739200. Its totient is φ = 3452267520.

The previous prime is 10021232279. The next prime is 10021232359. The reversal of 10021232320 is 2323212001.

It is a super-2 number, since 2×100212323202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10021232294 and 10021232303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8040 + ... + 141799.

Almost surely, 210021232320 is an apocalyptic number.

10021232320 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 10021232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701369600).

10021232320 is an abundant number, since it is smaller than the sum of its proper divisors (17381506880).

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

10021232320 is a wasteful number, since it uses less digits than its factorization.

10021232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149886 (or 149876 counting only the distinct ones).

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

Adding to 10021232320 its reverse (2323212001), we get a palindrome (12344444321).

The spelling of 10021232320 in words is "ten billion, twenty-one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 152 160 176 190 209 220 304 320 352 380 418 440 608 704 760 836 880 1045 1216 1520 1672 1760 2090 3040 3344 3520 4180 6080 6688 8360 13376 16720 33440 66880 149839 299678 599356 749195 1198712 1498390 1648229 2397424 2846941 2996780 3296458 4794848 5693882 5993560 6592916 8241145 9589696 11387764 11987120 13185832 14234705 16482290 22775528 23974240 26371664 28469410 31316351 32964580 45551056 47948480 52743328 56938820 62632702 65929160 91102112 105486656 113877640 125265404 131858320 156581755 182204224 227755280 250530808 263716640 313163510 455510560 501061616 527433280 626327020 911021120 1002123232 1252654040 2004246464 2505308080 5010616160 10021232320