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100120330110 = 23543191406349
BaseRepresentation
bin101110100111110100…
…0101111111101111110
3100120102120001202010110
41131033220233331332
53120021301030420
6113554502050450
710143034523103
oct1351750577576
9316376052113
10100120330110
1139508352979
12174a2119a26
1395977209a8
144bbb024aaa
15290eaa7ee0
hex174fa2ff7e

100120330110 has 64 divisors (see below), whose sum is σ = 247164825600. Its totient is φ = 25941256320.

The previous prime is 100120330019. The next prime is 100120330117. The reversal of 100120330110 is 11033021001.

It is a super-2 number, since 2×1001203301102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120330117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43216 + ... + 449564.

It is an arithmetic number, because the mean of its divisors is an integer number (3861950400).

Almost surely, 2100120330110 is an apocalyptic number.

100120330110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120330110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123582412800).

100120330110 is an abundant number, since it is smaller than the sum of its proper divisors (147044495490).

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

100120330110 is a wasteful number, since it uses less digits than its factorization.

100120330110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406593.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100120330110 its reverse (11033021001), we get a palindrome (111153351111).

The spelling of 100120330110 in words is "one hundred billion, one hundred twenty million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 191 215 258 382 430 573 645 955 1146 1290 1910 2865 5730 8213 16426 24639 41065 49278 82130 123195 246390 406349 812698 1219047 2031745 2438094 4063490 6095235 12190470 17473007 34946014 52419021 77612659 87365035 104838042 155225318 174730070 232837977 262095105 388063295 465675954 524190210 776126590 1164189885 2328379770 3337344337 6674688674 10012033011 16686721685 20024066022 33373443370 50060165055 100120330110