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110413401220 = 225315912723767
BaseRepresentation
bin110011011010100100…
…1101100110010000100
3101112222220021221020101
41212311021230302010
53302111312314340
6122420114213444
710656101265553
oct1466511546204
9345886257211
10110413401220
114290a539611
1219495284284
13a548051205
1454b6075d9a
152d13556c9a
hex19b526cc84

110413401220 has 96 divisors (see below), whose sum is σ = 245331394560. Its totient is φ = 41683662720.

The previous prime is 110413401211. The next prime is 110413401253. The reversal of 110413401220 is 22104314011.

It is a super-2 number, since 2×1104134012202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4633777 + ... + 4657543.

It is an arithmetic number, because the mean of its divisors is an integer number (2555535360).

Almost surely, 2110413401220 is an apocalyptic number.

110413401220 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 110413401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122665697280).

110413401220 is an abundant number, since it is smaller than the sum of its proper divisors (134917993340).

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

110413401220 is a wasteful number, since it uses less digits than its factorization.

110413401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23993 (or 23991 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 110413401220 its reverse (22104314011), we get a palindrome (132517715231).

The spelling of 110413401220 in words is "one hundred ten billion, four hundred thirteen million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 127 155 236 254 295 310 508 590 620 635 1180 1270 1829 2540 3658 3937 7316 7493 7874 9145 14986 15748 18290 19685 23767 29972 36580 37465 39370 47534 74930 78740 95068 118835 149860 232283 237670 464566 475340 736777 929132 1161415 1402253 1473554 2322830 2804506 2947108 3018409 3683885 4645660 5609012 6036818 7011265 7367770 12073636 14022530 14735540 15092045 28045060 30184090 43469843 60368180 86939686 93570679 173879372 178086131 187141358 217349215 356172262 374282716 434698430 467853395 712344524 869396860 890430655 935706790 1780861310 1871413580 3561722620 5520670061 11041340122 22082680244 27603350305 55206700610 110413401220