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101320231088 = 24293721612731
BaseRepresentation
bin101111001011100101…
…0000000100010110000
3100200112011220000211102
41132113022000202300
53130000434343323
6114313524103532
710214544516506
oct1362712004260
9320464800742
10101320231088
1139a736a127a
1217777b34ba8
1397291ac07b
144c9252a676
1529800c4328
hex17972808b0

101320231088 has 80 divisors (see below), whose sum is σ = 208738678560. Its totient is φ = 47551795200.

The previous prime is 101320231087. The next prime is 101320231151. The reversal of 101320231088 is 880132023101.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 101320231088.

It is not an unprimeable number, because it can be changed into a prime (101320231087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37098683 + ... + 37101413.

It is an arithmetic number, because the mean of its divisors is an integer number (2609233482).

Almost surely, 2101320231088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320231088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104369339280).

101320231088 is an abundant number, since it is smaller than the sum of its proper divisors (107418447472).

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

101320231088 is a wasteful number, since it uses less digits than its factorization.

101320231088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 101320231088 its reverse (880132023101), we get a palindrome (981452254189).

The spelling of 101320231088 in words is "one hundred one billion, three hundred twenty million, two hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 2161 2731 4292 4322 5462 8584 8644 10924 17168 17288 21848 34576 43696 62669 79199 79957 101047 125338 158398 159914 202094 250676 316796 319828 404188 501352 633592 639656 808376 1002704 1267184 1279312 1616752 2318753 2930363 4637506 5860726 5901691 9275012 11721452 11803382 18550024 23442904 23606764 37100048 46885808 47213528 94427056 171149039 218362567 342298078 436725134 684596156 873450268 1369192312 1746900536 2738384624 3493801072 6332514443 12665028886 25330057772 50660115544 101320231088