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201100000220 = 22575925196997
BaseRepresentation
bin1011101101001001111…
…1100111101111011100
3201020002000010111010022
42323102133213233130
511243323100001340
6232214542531312
720346305540510
oct2732237475734
9636060114108
10201100000220
1178316786699
1232b83b96b38
1315c6b19cc92
149a3a220140
15536ed0a3b5
hex2ed27e7bdc

201100000220 has 96 divisors (see below), whose sum is σ = 492780879360. Its totient is φ = 67509216000.

The previous prime is 201100000183. The next prime is 201100000237. The reversal of 201100000220 is 22000001102.

It is a junction number, because it is equal to n+sod(n) for n = 201100000198 and 201100000207.

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, 2024762 + ... + 2121758.

It is an arithmetic number, because the mean of its divisors is an integer number (5133134160).

Almost surely, 2201100000220 is an apocalyptic number.

201100000220 is a gapful number since it is divisible by the number (20) 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 201100000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246390439680).

201100000220 is an abundant number, since it is smaller than the sum of its proper divisors (291680879140).

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

201100000220 is a wasteful number, since it uses less digits than its factorization.

201100000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97323 (or 97321 counting only the distinct ones).

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

Adding to 201100000220 its reverse (22000001102), we get a palindrome (223100001322).

The spelling of 201100000220 in words is "two hundred one billion, one hundred million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 251 295 413 502 590 826 1004 1180 1255 1652 1757 2065 2510 3514 4130 5020 7028 8260 8785 14809 17570 29618 35140 59236 74045 96997 103663 148090 193994 207326 296180 387988 414652 484985 518315 678979 969970 1036630 1357958 1939940 2073260 2715916 3394895 5722823 6789790 11445646 13579580 22891292 24346247 28614115 40059761 48692494 57228230 80119522 97384988 114456460 121731235 160239044 170423729 200298805 243462470 340847458 400597610 486924940 681694916 801195220 852118645 1436428573 1704237290 2872857146 3408474580 5745714292 7182142865 10055000011 14364285730 20110000022 28728571460 40220000044 50275000055 100550000110 201100000220