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23054322515120 = 24513791231227947
BaseRepresentation
bin1010011110111110000001…
…01101000011110010110000
310000121222020101010110202022
411033133000231003302300
511010210223030440440
6121011002021411012
74566422414030441
oct517370055036260
9100558211113668
1023054322515120
117389313042406
1227040b9b69a68
13cb3023256cc0
14599b9998d2c8
1529ea6869ecb5
hex14f7c0b43cb0

23054322515120 has 160 divisors (see below), whose sum is σ = 58502908907520. Its totient is φ = 8397749468160.

The previous prime is 23054322515069. The next prime is 23054322515131. The reversal of 23054322515120 is 2151522345032.

It is a super-2 number, since 2×230543225151202 (a number of 28 digits) contains 22 as substring.

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, 101024987 + ... + 101252933.

It is an arithmetic number, because the mean of its divisors is an integer number (365643180672).

Almost surely, 223054322515120 is an apocalyptic number.

23054322515120 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 23054322515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29251454453760).

23054322515120 is an abundant number, since it is smaller than the sum of its proper divisors (35448586392400).

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

23054322515120 is a wasteful number, since it uses less digits than its factorization.

23054322515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229283 (or 229277 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 23054322515120 in words is "twenty-three trillion, fifty-four billion, three hundred twenty-two million, five hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 520 632 790 1027 1040 1231 1264 1580 2054 2462 3160 4108 4924 5135 6155 6320 8216 9848 10270 12310 16003 16432 19696 20540 24620 32006 41080 49240 64012 80015 82160 97249 98480 128024 160030 194498 227947 256048 320060 388996 455894 486245 640120 777992 911788 972490 1139735 1264237 1280240 1555984 1823576 1944980 2279470 2528474 2963311 3647152 3889960 4558940 5056948 5926622 6321185 7779920 9117880 10113896 11853244 12642370 14816555 18007813 18235760 20227792 23706488 25284740 29633110 36015626 47412976 50569480 59266220 72031252 90039065 101138960 118532440 144062504 180078130 234101569 237064880 280602757 288125008 360156260 468203138 561205514 720312520 936406276 1122411028 1170507845 1403013785 1440625040 1872812552 2244822056 2341015690 2806027570 3647835841 3745625104 4489644112 4682031380 5612055140 7295671682 9364062760 11224110280 14591343364 18239179205 18728125520 22167617803 22448220560 29182686728 36478358410 44335235606 58365373456 72956716820 88670471212 110838089015 145913433640 177340942424 221676178030 288179031439 291826867280 354681884848 443352356060 576358062878 886704712120 1152716125756 1440895157195 1773409424240 2305432251512 2881790314390 4610864503024 5763580628780 11527161257560 23054322515120