Search a number
-
+
23303210100 = 223521312232659
BaseRepresentation
bin10101101100111110…
…101100010001110100
32020011001002201122120
4111230332230101310
5340211110210400
614412204355540
71453322006022
oct255476542164
966131081576
1023303210100
119979066725
124624245bb0
132274b42121
1411b0c99712
15915c54ca0
hex56cfac474

23303210100 has 144 divisors (see below), whose sum is σ = 68268963840. Its totient is φ = 6136790400.

The previous prime is 23303210039. The next prime is 23303210111. The reversal of 23303210100 is 101230332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23303210100.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8762571 + ... + 8765229.

Almost surely, 223303210100 is an apocalyptic number.

23303210100 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 23303210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34134481920).

23303210100 is an abundant number, since it is smaller than the sum of its proper divisors (44965753740).

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

23303210100 is a wasteful number, since it uses less digits than its factorization.

23303210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23303210100 its reverse (101230332), we get a palindrome (23404440432).

The spelling of 23303210100 in words is "twenty-three billion, three hundred three million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 223 262 300 393 446 524 655 669 786 892 1115 1310 1338 1572 1965 2230 2620 2659 2676 3275 3345 3930 4460 5318 5575 6550 6690 7860 7977 9825 10636 11150 13100 13295 13380 15954 16725 19650 22300 26590 29213 31908 33450 39300 39885 53180 58426 66475 66900 79770 87639 116852 132950 146065 159540 175278 199425 265900 292130 348329 350556 398850 438195 584260 592957 696658 730325 797700 876390 1044987 1185914 1393316 1460650 1741645 1752780 1778871 2089974 2190975 2371828 2921300 2964785 3483290 3557742 4179948 4381950 5224935 5929570 6966580 7115484 8708225 8763900 8894355 10449870 11859140 14823925 17416450 17788710 20899740 26124675 29647850 34832900 35577420 44471775 52249350 59295700 77677367 88943550 104498700 155354734 177887100 233032101 310709468 388386835 466064202 776773670 932128404 1165160505 1553547340 1941934175 2330321010 3883868350 4660642020 5825802525 7767736700 11651605050 23303210100