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1122102022220 = 2252915176916661
BaseRepresentation
bin10000010101000010011…
…111100001000001001100
310222021100012220211101022
4100111002133201001030
5121341031104202340
62215253032333312
7144032506550054
oct20250237410114
93867305824338
101122102022220
113a297637a463
12161579844238
1381a76acb32a
143c44aa04564
151e2c60333b5
hex105427e104c

1122102022220 has 96 divisors (see below), whose sum is σ = 2457151804800. Its totient is φ = 429907968000.

The previous prime is 1122102022201. The next prime is 1122102022243. The reversal of 1122102022220 is 222202012211.

It is a happy number.

It is a super-2 number, since 2×11221020222202 (a number of 25 digits) contains 22 as substring.

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, 67340690 + ... + 67357350.

It is an arithmetic number, because the mean of its divisors is an integer number (25595331300).

Almost surely, 21122102022220 is an apocalyptic number.

1122102022220 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 1122102022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228575902400).

1122102022220 is an abundant number, since it is smaller than the sum of its proper divisors (1335049782580).

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

1122102022220 is a wasteful number, since it uses less digits than its factorization.

1122102022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1122102022220 its reverse (222202012211), we get a palindrome (1344304034431).

The spelling of 1122102022220 in words is "one trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 151 290 302 580 604 755 769 1510 1538 3020 3076 3845 4379 7690 8758 15380 16661 17516 21895 22301 33322 43790 44602 66644 83305 87580 89204 111505 116119 166610 223010 232238 333220 446020 464476 483169 580595 966338 1161190 1932676 2322380 2415845 2515811 3367451 4831690 5031622 6734902 9663380 10063244 12579055 12812309 13469804 16837255 25158110 25624618 33674510 50316220 51249236 64061545 67349020 72958519 128123090 145917038 256246180 291834076 364792595 371556961 729585190 743113922 1459170380 1486227844 1857784805 1934658659 3715569610 3869317318 7431139220 7738634636 9673293295 19346586590 38693173180 56105101111 112210202222 224420404444 280525505555 561051011110 1122102022220