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231321202020 = 223259733913907
BaseRepresentation
bin1101011101101111010…
…0010110110101100100
3211010002011122121022200
43113123310112311210
512242221211431040
6254133440054500
722466232526536
oct3273364266544
9733064577280
10231321202020
118a114873927
12389b9004430
1318a763337cc
14b2a5ba9856
15603d07a630
hex35dbd16d64

231321202020 has 144 divisors (see below), whose sum is σ = 709298623488. Its totient is φ = 61016094720.

The previous prime is 231321202009. The next prime is 231321202069. The reversal of 231321202020 is 20202123132.

231321202020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231321201984 and 231321202002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59204907 + ... + 59208813.

Almost surely, 2231321202020 is an apocalyptic number.

231321202020 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 231321202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354649311744).

231321202020 is an abundant number, since it is smaller than the sum of its proper divisors (477977421468).

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

231321202020 is a wasteful number, since it uses less digits than its factorization.

231321202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 231321202020 its reverse (20202123132), we get a palindrome (251523325152).

The spelling of 231321202020 in words is "two hundred thirty-one billion, three hundred twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3391 3492 3907 4365 5820 6782 7814 8730 10173 11721 13564 15628 16955 17460 19535 20346 23442 30519 33910 35163 39070 40692 46884 50865 58605 61038 67820 70326 78140 101730 117210 122076 140652 152595 175815 203460 234420 305190 328927 351630 378979 610380 657854 703260 757958 986781 1136937 1315708 1515916 1644635 1894895 1973562 2273874 2960343 3289270 3410811 3789790 3947124 4547748 4933905 5684685 5920686 6578540 6821622 7579580 9867810 11369370 11841372 13248637 13643244 14801715 17054055 19735620 22738740 26497274 29603430 34108110 39745911 52994548 59206860 66243185 68216220 79491822 119237733 132486370 158983644 198729555 238475466 264972740 397459110 476950932 596188665 794918220 1192377330 1285117789 2384754660 2570235578 3855353367 5140471156 6425588945 7710706734 11566060101 12851177890 15421413468 19276766835 23132120202 25702355780 38553533670 46264240404 57830300505 77107067340 115660601010 231321202020