Search a number
-
+
23021233313100 = 2235211531011303219
BaseRepresentation
bin1010011110000000011000…
…11011110001010101001100
310000111210211022221211212120
411033000030123301111030
511004134441212004400
6120543450353132540
74564141423325631
oct517001433612514
9100453738854776
1023021233313100
117376283052160
1226b980455a150
13cacb7bb77a19
1459833b15c188
1529dc7d761ca0
hex14f00c6f154c

23021233313100 has 288 divisors, whose sum is σ = 74767462076160. Its totient is φ = 5421386880000.

The previous prime is 23021233313093. The next prime is 23021233313107. The reversal of 23021233313100 is 131333212032.

It is an interprime number because it is at equal distance from previous prime (23021233313093) and next prime (23021233313107).

It is a super-2 number, since 2×230212333131002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23021233313107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17013291 + ... + 18316509.

It is an arithmetic number, because the mean of its divisors is an integer number (259609243320).

Almost surely, 223021233313100 is an apocalyptic number.

23021233313100 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 23021233313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37383731038080).

23021233313100 is an abundant number, since it is smaller than the sum of its proper divisors (51746228763060).

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

23021233313100 is a wasteful number, since it uses less digits than its factorization.

23021233313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303401 (or 1303394 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23021233313100 its reverse (131333212032), we get a palindrome (23152566525132).

The spelling of 23021233313100 in words is "twenty-three trillion, twenty-one billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred".