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23103320220 = 22325376135659
BaseRepresentation
bin10101100001000100…
…001011000010011100
32012122002222021021200
4111201010023002130
5334303422221340
614340304155500
71445343660501
oct254104130234
965562867250
1023103320220
119886249482
124589308b90
1322425c5ca6
1411925054a8
1590341d330
hex56110b09c

23103320220 has 144 divisors (see below), whose sum is σ = 72104279520. Its totient is φ = 5983538688.

The previous prime is 23103320203. The next prime is 23103320221. The reversal of 23103320220 is 2202330132.

It is a happy number.

23103320220 is a `hidden beast` number, since 2 + 310 + 332 + 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 = 23103320193 and 23103320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23103320221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4079751 + ... + 4085409.

Almost surely, 223103320220 is an apocalyptic number.

23103320220 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 23103320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36052139760).

23103320220 is an abundant number, since it is smaller than the sum of its proper divisors (49000959300).

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

23103320220 is a wasteful number, since it uses less digits than its factorization.

23103320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6319 counting only the distinct ones).

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

Adding to 23103320220 its reverse (2202330132), we get a palindrome (25305650352).

The spelling of 23103320220 in words is "twenty-three billion, one hundred three million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 613 666 740 1110 1226 1332 1665 1839 2220 2452 3065 3330 3678 5517 5659 6130 6660 7356 9195 11034 11318 12260 16977 18390 22068 22636 22681 27585 28295 33954 36780 45362 50931 55170 56590 67908 68043 84885 90724 101862 110340 113180 113405 136086 169770 203724 204129 209383 226810 254655 272172 339540 340215 408258 418766 453620 509310 628149 680430 816516 837532 1018620 1020645 1046915 1256298 1360860 1884447 2041290 2093830 2512596 3140745 3468967 3768894 4082580 4187660 6281490 6937934 7537788 9422235 10406901 12562980 13875868 17344835 18844470 20813802 31220703 34689670 37688940 41627604 52034505 62441406 69379340 104069010 124882812 128351779 156103515 208138020 256703558 312207030 385055337 513407116 624414060 641758895 770110674 1155166011 1283517790 1540221348 1925276685 2310332022 2567035580 3850553370 4620664044 5775830055 7701106740 11551660110 23103320220