Search a number
-
+
23100323000220 = 223253716972043911
BaseRepresentation
bin1010100000010011101101…
…00010111110111110011100
310000210100222020011020100200
411100021312202332332130
511011433430142001340
6121044050351423500
74602641352510054
oct520116642767634
9100710866136320
1023100323000220
1173a6879122744
122710bb7524b90
13cb747451505b
1459c0c1054564
152a0d5bd68330
hex1502768bef9c

23100323000220 has 144 divisors (see below), whose sum is σ = 72007232326848. Its totient is φ = 5990062510080.

The previous prime is 23100323000177. The next prime is 23100323000311. The reversal of 23100323000220 is 2200032300132.

It is a happy number.

23100323000220 is a `hidden beast` number, since 2 + 310 + 0 + 32 + 300 + 0 + 2 + 20 = 666.

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 = 23100323000193 and 23100323000202.

It is a congruent number.

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, 10280065 + ... + 12323975.

It is an arithmetic number, because the mean of its divisors is an integer number (500050224492).

Almost surely, 223100323000220 is an apocalyptic number.

23100323000220 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 23100323000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36003616163424).

23100323000220 is an abundant number, since it is smaller than the sum of its proper divisors (48906909326628).

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

23100323000220 is a wasteful number, since it uses less digits than its factorization.

23100323000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045660 (or 2045655 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23100323000220 its reverse (2200032300132), we get a palindrome (25300355300352).

The spelling of 23100323000220 in words is "twenty-three trillion, one hundred billion, three hundred twenty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 1697 2220 3330 3394 5091 6660 6788 8485 10182 15273 16970 20364 25455 30546 33940 50910 61092 62789 76365 101820 125578 152730 188367 251156 305460 313945 376734 565101 627890 753468 941835 1130202 1255780 1883670 2043911 2260404 2825505 3767340 4087822 5651010 6131733 8175644 10219555 11302020 12263466 18395199 20439110 24526932 30658665 36790398 40878220 61317330 73580796 75624707 91975995 122634660 151249414 183951990 226874121 302498828 367903980 378123535 453748242 680622363 756247070 907496484 1134370605 1361244726 1512494140 2268741210 2722489452 3403111815 3468516967 4537482420 6806223630 6937033934 10405550901 13612447260 13874067868 17342584835 20811101802 31216652703 34685169670 41622203604 52027754505 62433305406 69370339340 104055509010 124866610812 128335127779 156083263515 208111018020 256670255558 312166527030 385005383337 513340511116 624333054060 641675638895 770010766674 1155016150011 1283351277790 1540021533348 1925026916685 2310032300022 2566702555580 3850053833370 4620064600044 5775080750055 7700107666740 11550161500110 23100323000220