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111020001111220 = 225172113169978873
BaseRepresentation
bin11001001111100011011011…
…101110101010110010110100
3112120002102000202120221011011
4121033203123232222302310
5104022422430241024340
61032041515011322004
732245634060101315
oct3117433356526264
9476072022527134
10111020001111220
1132413355383a73
12105505058b0304
1349c41ab243646
141d5b57a87c60c
15cc7d41d640ea
hex64f8dbbaacb4

111020001111220 has 72 divisors (see below), whose sum is σ = 249854666554584. Its totient is φ = 41425890852864.

The previous prime is 111020001111181. The next prime is 111020001111301. The reversal of 111020001111220 is 22111100020111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19453551141924 + 91566449969296 = 4410618^2 + 9569036^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111020001111220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84336297 + ... + 85642576.

It is an arithmetic number, because the mean of its divisors is an integer number (3470203702147).

Almost surely, 2111020001111220 is an apocalyptic number.

111020001111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111020001111220 is an abundant number, since it is smaller than the sum of its proper divisors (138834665443364).

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

111020001111220 is a wasteful number, since it uses less digits than its factorization.

111020001111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169979029 (or 169979010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111020001111220 its reverse (22111100020111), we get a palindrome (133131101131331).

The spelling of 111020001111220 in words is "one hundred eleven trillion, twenty billion, one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 289 340 452 565 578 1130 1156 1445 1921 2260 2890 3842 5780 7684 9605 19210 32657 38420 65314 130628 163285 326570 653140 169978873 339957746 679915492 849894365 1699788730 2889640841 3399577460 5779281682 11558563364 14448204205 19207612649 28896408410 38415225298 49123894297 57792816820 76830450596 96038063245 98247788594 192076126490 196495577188 245619471485 326529415033 384152252980 491238942970 653058830066 982477885940 1306117660132 1632647075165 3265294150330 5551000055561 6530588300660 11102000111122 22204000222244 27755000277805 55510000555610 111020001111220