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101101023320 = 23511739310927
BaseRepresentation
bin101111000101000010…
…1110011000001011000
3100122221220102010022012
41132022011303001120
53124023330221240
6114240053445052
710206243343013
oct1361205630130
9318856363265
10101101023320
113997098a230
1217716640788
1396c295b12b
144c7138837a
15296ac23b65
hex178a173058

101101023320 has 64 divisors (see below), whose sum is σ = 248493657600. Its totient is φ = 36714142080.

The previous prime is 101101023313. The next prime is 101101023349. The reversal of 101101023320 is 23320101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101023295 and 101101023304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169697 + ... + 480623.

It is an arithmetic number, because the mean of its divisors is an integer number (3882713400).

Almost surely, 2101101023320 is an apocalyptic number.

101101023320 is a gapful number since it is divisible by the number (10) 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 101101023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124246828800).

101101023320 is an abundant number, since it is smaller than the sum of its proper divisors (147392634280).

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

101101023320 is a wasteful number, since it uses less digits than its factorization.

101101023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311688 (or 311684 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101101023320 its reverse (23320101101), we get a palindrome (124421124421).

The spelling of 101101023320 in words is "one hundred one billion, one hundred one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 739 1478 2956 3695 5912 7390 8129 14780 16258 29560 32516 40645 65032 81290 162580 310927 325160 621854 1243708 1554635 2487416 3109270 3420197 6218540 6840394 12437080 13680788 17100985 27361576 34201970 68403940 136807880 229775053 459550106 919100212 1148875265 1838200424 2297750530 2527525583 4595501060 5055051166 9191002120 10110102332 12637627915 20220204664 25275255830 50550511660 101101023320