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20123323102300 = 225211313101357697
BaseRepresentation
bin1001001001101010100111…
…00001100111010001011100
32122020202210222122012112011
410210311103201213101130
510114200031203233200
6110444305500121004
74144601464056115
oct444652341472134
978222728565464
1020123323102300
1164592873060a0
122310050236164
13b2c80caab912
144d7d8ca7520c
1524d6c19545ba
hex124d5386745c

20123323102300 has 144 divisors (see below), whose sum is σ = 47837595510432. Its totient is φ = 7286866329600.

The previous prime is 20123323102297. The next prime is 20123323102301. The reversal of 20123323102300 is 320132332102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123323102301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348747052 + ... + 348804748.

It is an arithmetic number, because the mean of its divisors is an integer number (332205524378).

Almost surely, 220123323102300 is an apocalyptic number.

20123323102300 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 20123323102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23918797755216).

20123323102300 is an abundant number, since it is smaller than the sum of its proper divisors (27714272408132).

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

20123323102300 is a wasteful number, since it uses less digits than its factorization.

20123323102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59048 (or 59041 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20123323102300 its reverse (320132332102), we get a palindrome (20443455434402).

The spelling of 20123323102300 in words is "twenty trillion, one hundred twenty-three billion, three hundred twenty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 313 550 626 1013 1100 1252 1565 2026 3130 3443 4052 5065 6260 6886 7825 10130 11143 13772 15650 17215 20260 22286 25325 31300 34430 44572 50650 55715 57697 68860 86075 101300 111430 115394 172150 222860 230788 278575 288485 317069 344300 557150 576970 634138 634667 1114300 1153940 1268276 1269334 1442425 1585345 2538668 2884850 3170690 3173335 3487759 5769700 6341380 6346670 6975518 7926725 12693340 13951036 15853450 15866675 17438795 18059161 31706900 31733350 34877590 36118322 58447061 63466700 69755180 72236644 87193975 90295805 116894122 174387950 180591610 198650771 233788244 292235305 348775900 361183220 397301542 451479025 584470610 642917671 794603084 902958050 993253855 1168941220 1285835342 1461176525 1805916100 1986507710 2571670684 2922353050 3214588355 3973015420 4966269275 5844706100 6429176710 9932538550 12858353420 16072941775 18293930093 19865077100 32145883550 36587860186 64291767100 73175720372 91469650465 182939300930 201233231023 365878601860 402466462046 457348252325 804932924092 914696504650 1006166155115 1829393009300 2012332310230 4024664620460 5030830775575 10061661551150 20123323102300