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100220100100220 = 225373071159338053
BaseRepresentation
bin10110110010011001001111…
…011101110100000001111100
3111010211221121002111002201102
4112302121033131310001330
5101114001231111201340
6553052251155432232
730052443336133442
oct2662311735640174
9433757532432642
10100220100100220
1129a2a118857151
12b2a73b08b5678
1343bc93a7ba039
141aa69705d4b92
15b8be4c684215
hex5b264f77407c

100220100100220 has 96 divisors (see below), whose sum is σ = 216878855823168. Its totient is φ = 38873153636352.

The previous prime is 100220100100207. The next prime is 100220100100301. The reversal of 100220100100220 is 22001001022001.

It is a happy number.

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, 2633678714 + ... + 2633716766.

It is an arithmetic number, because the mean of its divisors is an integer number (2259154748158).

Almost surely, 2100220100100220 is an apocalyptic number.

100220100100220 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 100220100100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108439427911584).

100220100100220 is an abundant number, since it is smaller than the sum of its proper divisors (116658755722948).

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

100220100100220 is a wasteful number, since it uses less digits than its factorization.

100220100100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49999 (or 49997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100220100100220 its reverse (22001001022001), we get a palindrome (122221101122221).

The spelling of 100220100100220 in words is "one hundred trillion, two hundred twenty billion, one hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 307 370 614 740 1228 1535 3070 6140 11359 11593 22718 23186 38053 45436 46372 56795 57965 76106 113590 115930 152212 190265 227180 231860 380530 428941 761060 857882 1407961 1715764 2144705 2815922 3559051 4289410 5631844 7039805 7118102 8578820 11682271 14079610 14236204 17795255 23364542 28159220 35590510 46729084 58411355 71181020 116822710 131684887 233645420 263369774 432244027 441148429 526739548 658424435 864488054 882296858 1316848870 1728976108 1764593716 2161220135 2205742145 2633697740 4322440270 4411484290 8644880540 8822968580 16322491873 32644983746 65289967492 81612459365 135432567703 163224918730 270865135406 326449837460 541730270812 677162838515 1354325677030 2708651354060 5011005005011 10022010010022 20044020020044 25055025025055 50110050050110 100220100100220