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102012200202220 = 225721140123598749
BaseRepresentation
bin10111001100011110010000…
…111101001010111111101100
3111101012021022121222212102021
4113030132100331022333230
5101332331441222432340
61000543431404235524
730326065263513100
oct2714362075127754
9441167277885367
10102012200202220
112a56014961a510
12b53679353bba4
1344bc92b16a189
141b295b9b15900
15bbd8888b6e4a
hex5cc790f4afec

102012200202220 has 144 divisors (see below), whose sum is σ = 272533845780000. Its totient is φ = 31716717312000.

The previous prime is 102012200202179. The next prime is 102012200202221. The reversal of 102012200202220 is 22202002210201.

It is a junction number, because it is equal to n+sod(n) for n = 102012200202194 and 102012200202203.

It is not an unprimeable number, because it can be changed into a prime (102012200202221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7476595 + ... + 16122154.

It is an arithmetic number, because the mean of its divisors is an integer number (1892596151250).

Almost surely, 2102012200202220 is an apocalyptic number.

102012200202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012200202220 is an abundant number, since it is smaller than the sum of its proper divisors (170521645577780).

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

102012200202220 is a wasteful number, since it uses less digits than its factorization.

102012200202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23599184 (or 23599175 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102012200202220 its reverse (22202002210201), we get a palindrome (124214202412421).

The spelling of 102012200202220 in words is "one hundred two trillion, twelve billion, two hundred million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 401 490 539 770 802 980 1078 1540 1604 2005 2156 2695 2807 4010 4411 5390 5614 8020 8822 10780 11228 14035 17644 19649 22055 28070 30877 39298 44110 56140 61754 78596 88220 98245 123508 154385 196490 216139 308770 392980 432278 617540 864556 1080695 2161390 4322780 23598749 47197498 94394996 117993745 165191243 235987490 259586239 330382486 471974980 519172478 660764972 825956215 1038344956 1156338701 1297931195 1651912430 1817103673 2312677402 2595862390 3303824860 3634207346 4625354804 5191724780 5781693505 7268414692 9085518365 9463098349 11563387010 12719725711 18171036730 18926196698 23126774020 25439451422 36342073460 37852393396 47315491745 50878902844 63598628555 66241688443 94630983490 104094081839 127197257110 132483376886 189261966980 208188163678 254394514220 264966753772 331208442215 416376327356 463691819101 520470409195 662416884430 728658572873 927383638202 1040940818390 1324833768860 1457317145746 1854767276404 2081881636780 2318459095505 2914634291492 3643292864365 4636918191010 5100610010111 7286585728730 9273836382020 10201220020222 14573171457460 20402440040444 25503050050555 51006100101110 102012200202220