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122200122020100 = 223521151739347869
BaseRepresentation
bin11011110010001111101110…
…110111010101000100000100
3121000200012212121111211111220
4123302033232313111010010
5112004111322214120400
61111521543331200340
734511444640613035
oct3362175667250404
9530605777454456
10122200122020100
1135a33865147753
12118572517460b0
135325564363747
142226735cc4a8c
15e1da8b65b7a0
hex6f23eedd5104

122200122020100 has 144 divisors (see below), whose sum is σ = 353928127150080. Its totient is φ = 32553303552000.

The previous prime is 122200122020089. The next prime is 122200122020117. The reversal of 122200122020100 is 1020221002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122200122020100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552778966 + ... + 2552826834.

It is an arithmetic number, because the mean of its divisors is an integer number (2457834216320).

Almost surely, 2122200122020100 is an apocalyptic number.

122200122020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200122020100 is an abundant number, since it is smaller than the sum of its proper divisors (231728005129980).

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

122200122020100 is a wasteful number, since it uses less digits than its factorization.

122200122020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56430 (or 56423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122200122020100 its reverse (1020221002221), we get a palindrome (123220343022321).

The spelling of 122200122020100 in words is "one hundred twenty-two trillion, two hundred billion, one hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1151 2302 3453 4604 5755 6906 7393 11510 13812 14786 17265 22179 23020 28775 29572 34530 36965 44358 47869 57550 69060 73930 86325 88716 95738 110895 115100 143607 147860 172650 184825 191476 221790 239345 287214 345300 369650 443580 478690 554475 574428 718035 739300 957380 1108950 1196725 1436070 2217900 2393450 2872140 3590175 4786900 7180350 8509343 14360700 17018686 25528029 34037372 42546715 51056058 55097219 85093430 102112116 110194438 127640145 165291657 170186860 212733575 220388876 255280290 275486095 330583314 353895517 425467150 510560580 550972190 638200725 661166628 707791034 826458285 850934300 1061686551 1101944380 1276401450 1377430475 1415582068 1652916570 1769477585 2123373102 2552802900 2754860950 3305833140 3538955170 4132291425 4246746204 5308432755 5509721900 7077910340 8264582850 8847387925 10616865510 16529165700 17694775850 21233731020 26542163775 35389551700 53084327550 106168655100 407333740067 814667480134 1222001220201 1629334960268 2036668700335 2444002440402 4073337400670 4888004880804 6110006101005 8146674801340 10183343501675 12220012202010 20366687003350 24440024404020 30550030505025 40733374006700 61100061010050 122200122020100