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111200401020 = 223517233467897
BaseRepresentation
bin110011110010000001…
…1110111011001111100
3101122000202011200000010
41213210003313121330
53310214300313040
6123030150303220
711014435545612
oct1474403673174
9348022150003
10111200401020
1143183800175
1219674957b10
13a642101a77
14554c7b96b2
152d5c6b1e80
hex19e40f767c

111200401020 has 96 divisors (see below), whose sum is σ = 331092111168. Its totient is φ = 27789279232.

The previous prime is 111200400967. The next prime is 111200401057. The reversal of 111200401020 is 20104002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111200400987 and 111200401005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3712 + ... + 471608.

It is an arithmetic number, because the mean of its divisors is an integer number (3448876158).

Almost surely, 2111200401020 is an apocalyptic number.

111200401020 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 111200401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165546055584).

111200401020 is an abundant number, since it is smaller than the sum of its proper divisors (219891710148).

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

111200401020 is a wasteful number, since it uses less digits than its factorization.

111200401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468159 (or 468157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111200401020 its reverse (20104002111), we get a palindrome (131304403131).

The spelling of 111200401020 in words is "one hundred eleven billion, two hundred million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 233 255 340 466 510 699 932 1020 1165 1398 2330 2796 3495 3961 4660 6990 7922 11883 13980 15844 19805 23766 39610 47532 59415 79220 118830 237660 467897 935794 1403691 1871588 2339485 2807382 4678970 5614764 7018455 7954249 9357940 14036910 15908498 23862747 28073820 31816996 39771245 47725494 79542490 95450988 109020001 119313735 159084980 218040002 238627470 327060003 436080004 477254940 545100005 654120006 1090200010 1308240012 1635300015 1853340017 2180400020 3270600030 3706680034 5560020051 6541200060 7413360068 9266700085 11120040102 18533400170 22240080204 27800100255 37066800340 55600200510 111200401020