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21302022213320 = 23523832331197289
BaseRepresentation
bin1001101011111110000110…
…11101111000111011001000
32210102110020112222001001112
410311333003131320323020
510243003020141311240
6113150003000505452
74326006653153042
oct465770335707310
983373215861045
1021302022213320
116873156219002
12248058417b288
13bb6a063321b4
14539048204a92
1526e1ab5aa665
hex135fc3778ec8

21302022213320 has 128 divisors (see below), whose sum is σ = 50833293638400. Its totient is φ = 8017576833024.

The previous prime is 21302022213301. The next prime is 21302022213379. The reversal of 21302022213320 is 2331222020312.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17193236 + ... + 18390524.

It is an arithmetic number, because the mean of its divisors is an integer number (397135106550).

Almost surely, 221302022213320 is an apocalyptic number.

21302022213320 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 21302022213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25416646819200).

21302022213320 is an abundant number, since it is smaller than the sum of its proper divisors (29531271425080).

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

21302022213320 is a wasteful number, since it uses less digits than its factorization.

21302022213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197639 (or 1197635 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 21302022213320 its reverse (2331222020312), we get a palindrome (23633244233632).

The spelling of 21302022213320 in words is "twenty-one trillion, three hundred two billion, twenty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 83 92 115 166 184 230 233 332 415 460 466 664 830 920 932 1165 1660 1864 1909 2330 3320 3818 4660 5359 7636 9320 9545 10718 15272 19090 19339 21436 26795 38180 38678 42872 53590 76360 77356 96695 107180 154712 193390 214360 386780 444797 773560 889594 1197289 1779188 2223985 2394578 3558376 4447970 4789156 5986445 8895940 9578312 11972890 17791880 23945780 27537647 47891560 55075294 99374987 110150588 137688235 198749974 220301176 275376470 278968337 397499948 496874935 550752940 557936674 794999896 993749870 1101505880 1115873348 1394841685 1987499740 2231746696 2285624701 2789683370 3974999480 4571249402 5579366740 6416271751 9142498804 11158733480 11428123505 12832543502 18284997608 22856247010 23154371971 25665087004 32081358755 45712494020 46308743942 51330174008 64162717510 91424988040 92617487884 115771859855 128325435020 185234975768 231543719710 256650870040 463087439420 532550555333 926174878840 1065101110666 2130202221332 2662752776665 4260404442664 5325505553330 10651011106660 21302022213320