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2220210120100 = 2252717186572279
BaseRepresentation
bin100000010011101110110…
…101011110010110100100
321212020202021001000022011
4200103232311132112210
5242333442242320400
64415541144044004
7316255606433020
oct40235665362644
97766667030264
102220210120100
11786649806385
122ba35ba63604
1313149894989b
147965cb11380
153cb458758ba
hex204eed5e5a4

2220210120100 has 72 divisors (see below), whose sum is σ = 5830010605440. Its totient is φ = 716437547520.

The previous prime is 2220210120067. The next prime is 2220210120173. The reversal of 2220210120100 is 10210120222.

It is a happy number.

2220210120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 93274240 + ... + 93298039.

It is an arithmetic number, because the mean of its divisors is an integer number (80972369520).

Almost surely, 22220210120100 is an apocalyptic number.

2220210120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220210120100 is an abundant number, since it is smaller than the sum of its proper divisors (3609800485340).

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

2220210120100 is a wasteful number, since it uses less digits than its factorization.

2220210120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186572317 (or 186572310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2220210120100 its reverse (10210120222), we get a palindrome (2230420240322).

The spelling of 2220210120100 in words is "two trillion, two hundred twenty billion, two hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 186572279 373144558 746289116 932861395 1306005953 1865722790 2612011906 3171728743 3731445580 4664306975 5224023812 6343457486 6530029765 9328613950 12686914972 13060059530 15858643715 18657227900 22202101201 26120119060 31717287430 32650148825 44404202402 63434574860 65300297650 79293218575 88808404804 111010506005 130600595300 158586437150 222021012010 317172874300 444042024020 555052530025 1110105060050 2220210120100