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100202220120120 = 233517431142296171
BaseRepresentation
bin10110110010001000100101…
…101111000110100000111000
3111010210020110000011000001020
4112302020211233012200320
5101113203121322320440
6553040133041422440
730051241265614536
oct2662104557064070
9433706400130036
10100202220120120
1129a22582a9a498
12b2a3a4093aa20
1343bb04b3bc761
141aa5b55acb156
15b8b752ad73d0
hex5b2225bc6838

100202220120120 has 128 divisors (see below), whose sum is σ = 325691484560640. Its totient is φ = 24563936839680.

The previous prime is 100202220120089. The next prime is 100202220120133. The reversal of 100202220120120 is 21021022202001.

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 100202220120120.

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, 571060366 + ... + 571235805.

It is an arithmetic number, because the mean of its divisors is an integer number (2544464723130).

Almost surely, 2100202220120120 is an apocalyptic number.

100202220120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202220120120 is an abundant number, since it is smaller than the sum of its proper divisors (225489264440520).

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

100202220120120 is a wasteful number, since it uses less digits than its factorization.

100202220120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142296245 (or 1142296241 counting only the distinct ones).

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

Adding to 100202220120120 its reverse (21021022202001), we get a palindrome (121223242322121).

The spelling of 100202220120120 in words is "one hundred trillion, two hundred two billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1462 1720 2040 2193 2580 2924 3655 4386 5160 5848 7310 8772 10965 14620 17544 21930 29240 43860 87720 1142296171 2284592342 3426888513 4569184684 5711480855 6853777026 9138369368 11422961710 13707554052 17134442565 19419034907 22845923420 27415108104 34268885130 38838069814 45691846840 49118735353 58257104721 68537770260 77676139628 97095174535 98237470706 116514209442 137075540520 147356206059 155352279256 194190349070 196474941412 233028418884 245593676765 291285523605 294712412118 388380698140 392949882824 466056837768 491187353530 582571047210 589424824236 736781030295 776761396280 835018501001 982374707060 1165142094420 1178849648472 1473562060590 1670037002002 1964749414120 2330284188840 2505055503003 2947124121180 3340074004004 4175092505005 5010111006006 5894248242360 6680148008008 8350185010010 10020222012012 12525277515015 16700370020020 20040444024024 25050555030030 33400740040040 50101110060060 100202220120120