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110410311220 = 225114115118101
BaseRepresentation
bin110011011010011110…
…1111010011000110100
3101112222200110221112221
41212310331322120310
53302110014424340
6122415524052124
710656033106036
oct1466475723064
9345880427487
10110410311220
1142908818aa0
1219494234044
13a54750b901
1454b58adc56
152d1314644a
hex19b4f7a634

110410311220 has 96 divisors (see below), whose sum is σ = 259312741632. Its totient is φ = 39139200000.

The previous prime is 110410311197. The next prime is 110410311227. The reversal of 110410311220 is 22113014011.

It is a junction number, because it is equal to n+sod(n) for n = 110410311194 and 110410311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110410311227) 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, 13625170 + ... + 13633270.

It is an arithmetic number, because the mean of its divisors is an integer number (2701174392).

Almost surely, 2110410311220 is an apocalyptic number.

110410311220 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 110410311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129656370816).

110410311220 is an abundant number, since it is smaller than the sum of its proper divisors (148902430412).

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

110410311220 is a wasteful number, since it uses less digits than its factorization.

110410311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110410311220 its reverse (22113014011), we get a palindrome (132523325231).

The spelling of 110410311220 in words is "one hundred ten billion, four hundred ten million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1511 1804 2255 3022 4510 6044 7555 8101 9020 15110 16202 16621 30220 32404 33242 40505 61951 66484 81010 83105 89111 123902 162020 166210 178222 247804 309755 332141 332420 356444 445555 619510 664282 681461 891110 1239020 1328564 1362922 1660705 1782220 2725844 3321410 3407305 3653551 6642820 6814610 7307102 12240611 13629220 14614204 18267755 24481222 36535510 48962444 61203055 73071020 122406110 134646721 244812220 269293442 501865051 538586884 673233605 1003730102 1346467210 2007460204 2509325255 2692934420 5018650510 5520515561 10037301020 11041031122 22082062244 27602577805 55205155610 110410311220