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23013330100 = 22521721941911
BaseRepresentation
bin10101011011101100…
…111000110010110100
32012101211122022001021
4111123230320302310
5334112403030400
614323331310524
71443202035565
oct253354706264
965354568037
1023013330100
11983a474582
12456314b444
132229a786b7
14118459c16c
158ea59471a
hex55bb38cb4

23013330100 has 108 divisors (see below), whose sum is σ = 55842710560. Its totient is φ = 8207654400.

The previous prime is 23013330059. The next prime is 23013330101. The reversal of 23013330100 is 103331032.

It is a super-2 number, since 2×230133301002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013330101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 528145 + ... + 570055.

Almost surely, 223013330100 is an apocalyptic number.

23013330100 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 23013330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921355280).

23013330100 is an abundant number, since it is smaller than the sum of its proper divisors (32829380460).

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

23013330100 is a wasteful number, since it uses less digits than its factorization.

23013330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41978 (or 41954 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 23013330100 its reverse (103331032), we get a palindrome (23116661132).

The spelling of 23013330100 in words is "twenty-three billion, thirteen million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 289 323 340 380 425 475 578 646 850 950 1156 1292 1445 1615 1700 1900 2890 3230 5491 5780 6460 7225 8075 10982 14450 16150 21964 27455 28900 32300 41911 54910 83822 109820 137275 167644 209555 274550 419110 549100 712487 796309 838220 1047775 1424974 1592618 2095550 2849948 3185236 3562435 3981545 4191100 7124870 7963090 12112279 13537253 14249740 15926180 17812175 19907725 24224558 27074506 35624350 39815450 48449116 54149012 60561395 67686265 71248700 79630900 121122790 135372530 230133301 242245580 270745060 302806975 338431325 460266602 605613950 676862650 920533204 1150666505 1211227900 1353725300 2301333010 4602666020 5753332525 11506665050 23013330100