Search a number
-
+
23333113100 = 225211127167023
BaseRepresentation
bin10101101110110000…
…110000110100001100
32020020010100221212002
4111232300300310030
5340241234104400
614415153331432
71454134121543
oct255660606414
966203327762
1023333113100
119993a30250
124632266b78
13227b0b1bcb
1411b4c4115a
159186aeed5
hex56ec30d0c

23333113100 has 72 divisors (see below), whose sum is σ = 55671103488. Its totient is φ = 8417908800.

The previous prime is 23333113061. The next prime is 23333113121. The reversal of 23333113100 is 131133332.

It is a super-2 number, since 2×233331131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56189 + ... + 223211.

Almost surely, 223333113100 is an apocalyptic number.

23333113100 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 23333113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27835551744).

23333113100 is an abundant number, since it is smaller than the sum of its proper divisors (32337990388).

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

23333113100 is a wasteful number, since it uses less digits than its factorization.

23333113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167175 (or 167168 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 23333113100 its reverse (131133332), we get a palindrome (23464246432).

The spelling of 23333113100 in words is "twenty-three billion, three hundred thirty-three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 12700 13970 27940 34925 69850 139700 167023 334046 668092 835115 1670230 1837253 3340460 3674506 4175575 7349012 8351150 9186265 16702300 18372530 21211921 36745060 42423842 45931325 84847684 91862650 106059605 183725300 212119210 233331131 424238420 466662262 530298025 933324524 1060596050 1166655655 2121192100 2333311310 4666622620 5833278275 11666556550 23333113100