Search a number
-
+
23313011100 = 22352569136573
BaseRepresentation
bin10101101101100100…
…000101000110011100
32020011201112200002120
4111231210011012130
5340221112323400
614413154422540
71453501216251
oct255544050634
966151480076
1023313011100
119983650325
124627591a50
132276b94232
1411b22cb428
15916a3dca0
hex56d90519c

23313011100 has 72 divisors (see below), whose sum is σ = 67571352240. Its totient is φ = 6205831680.

The previous prime is 23313011087. The next prime is 23313011101. The reversal of 23313011100 is 111031332.

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 23313011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102414 + ... + 238986.

Almost surely, 223313011100 is an apocalyptic number.

23313011100 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 23313011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33785676120).

23313011100 is an abundant number, since it is smaller than the sum of its proper divisors (44258341140).

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

23313011100 is a wasteful number, since it uses less digits than its factorization.

23313011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137159 (or 137152 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 23313011100 its reverse (111031332), we get a palindrome (23424042432).

The spelling of 23313011100 in words is "twenty-three billion, three hundred thirteen million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 569 1138 1707 2276 2845 3414 5690 6828 8535 11380 14225 17070 28450 34140 42675 56900 85350 136573 170700 273146 409719 546292 682865 819438 1365730 1638876 2048595 2731460 3414325 4097190 6828650 8194380 10242975 13657300 20485950 40971900 77710037 155420074 233130111 310840148 388550185 466260222 777100370 932520444 1165650555 1554200740 1942750925 2331301110 3885501850 4662602220 5828252775 7771003700 11656505550 23313011100