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111002111020 = 22523976413881
BaseRepresentation
bin110011101100000111…
…1011100110000101100
3101121111221001111021001
41213120033130300230
53304313020023040
6122554344250044
711006510242633
oct1473017346054
9347457044231
10111002111020
1143091885a39
121961a470924
13a60ccc5bc8
14553032051a
152d4a09459a
hex19d83dcc2c

111002111020 has 96 divisors (see below), whose sum is σ = 246193831296. Its totient is φ = 41956147200.

The previous prime is 111002110939. The next prime is 111002111063. The reversal of 111002111020 is 20111200111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111002110988 and 111002111006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28599480 + ... + 28603360.

It is an arithmetic number, because the mean of its divisors is an integer number (2564519076).

Almost surely, 2111002111020 is an apocalyptic number.

111002111020 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 111002111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123096915648).

111002111020 is an abundant number, since it is smaller than the sum of its proper divisors (135191720276).

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

111002111020 is a wasteful number, since it uses less digits than its factorization.

111002111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111002111020 its reverse (20111200111), we get a palindrome (131113311131).

The spelling of 111002111020 in words is "one hundred eleven billion, two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 641 970 1282 1940 2231 2564 3205 3881 4462 6410 7762 8924 11155 12820 14743 15524 19405 22310 29486 38810 44620 58972 62177 73715 77620 89263 124354 147430 178526 248708 294860 310885 357052 376457 446315 621770 752914 892630 1243540 1430071 1505828 1785260 1882285 2487721 2860142 3764570 4975442 5720284 7150355 7529140 8658511 9950884 12438605 14300710 17317022 24877210 28601420 34634044 43292555 49754420 57217583 86585110 114435166 173170220 228870332 241308937 286087915 482617874 572175830 965235748 1144351660 1206544685 2413089370 4826178740 5550105551 11100211102 22200422204 27750527755 55501055510 111002111020