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23203100331120 = 24353723773109913
BaseRepresentation
bin1010100011010011001001…
…00011011000110001110000
310001011012020221211121100210
411101221210203120301300
511020124422141043440
6121203205050344120
74613240312430153
oct521514443306160
9101135227747323
1023203100331120
11743641a262636
122728abb42b040
13cc4073545758
145a3070cb7c9a
152a3874d10a80
hex151a648d8c70

23203100331120 has 160 divisors (see below), whose sum is σ = 73877434166592. Its totient is φ = 6019955859456.

The previous prime is 23203100331109. The next prime is 23203100331127. The reversal of 23203100331120 is 2113300130232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23203100331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211049284 + ... + 211159196.

Almost surely, 223203100331120 is an apocalyptic number.

23203100331120 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 23203100331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36938717083296).

23203100331120 is an abundant number, since it is smaller than the sum of its proper divisors (50674333835472).

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

23203100331120 is a wasteful number, since it uses less digits than its factorization.

23203100331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133739 (or 133733 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23203100331120 its reverse (2113300130232), we get a palindrome (25316400461352).

The spelling of 23203100331120 in words is "twenty-three trillion, two hundred three billion, one hundred million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 23773 47546 71319 95092 109913 118865 142638 190184 219826 237730 285276 329739 356595 380368 439652 475460 549565 570552 659478 713190 879304 879601 950920 1099130 1141104 1318956 1426380 1648695 1758608 1759202 1901840 2198260 2637912 2638803 2852760 3297390 3518404 4066781 4396520 4398005 5275824 5277606 5705520 6594780 7036808 8133562 8793040 8796010 10555212 12200343 13189560 13194015 14073616 16267124 17592020 20333905 21110424 24400686 26379120 26388030 32534248 35184040 40667810 42220848 48801372 52776060 61001715 65068496 70368080 81335620 97602744 105552120 122003430 162671240 195205488 211104240 244006860 325342480 488013720 976027440 2612961749 5225923498 7838885247 10451846996 13064808745 15677770494 20903693992 26129617490 31355540988 39194426235 41807387984 52259234980 62711081976 78388852470 96679584713 104518469960 125422163952 156777704940 193359169426 209036939920 290038754139 313555409880 386718338852 483397923565 580077508278 627110819760 773436677704 966795847130 1160155016556 1450193770695 1546873355408 1933591694260 2320310033112 2900387541390 3867183388520 4640620066224 5800775082780 7734366777040 11601550165560 23203100331120