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102032031312220 = 22561503883188299
BaseRepresentation
bin10111001100110000101110…
…111110110110100101011100
3111101021011111200201122010211
4113030300232332312211130
5101333143100003442340
61001000511301542204
730330366565253242
oct2714605676664534
9441234450648124
10102032031312220
112a5685a5784a19
12b53a5a8a14964
1344c176b860aa9
141b2a53b7d6792
15bbe1498c15ea
hex5ccc2efb695c

102032031312220 has 96 divisors (see below), whose sum is σ = 218461092595200. Its totient is φ = 40018356322560.

The previous prime is 102032031312217. The next prime is 102032031312271. The reversal of 102032031312220 is 22213130230201.

It is a junction number, because it is equal to n+sod(n) for n = 102032031312191 and 102032031312200.

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, 541767631 + ... + 541955929.

It is an arithmetic number, because the mean of its divisors is an integer number (2275636381200).

Almost surely, 2102032031312220 is an apocalyptic number.

102032031312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032031312220 is an abundant number, since it is smaller than the sum of its proper divisors (116429061282980).

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

102032031312220 is a wasteful number, since it uses less digits than its factorization.

102032031312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189755 (or 189753 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102032031312220 its reverse (22213130230201), we get a palindrome (124245161542421).

The spelling of 102032031312220 in words is "one hundred two trillion, thirty-two billion, thirty-one million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 503 610 883 1006 1220 1766 2012 2515 3532 4415 5030 8830 10060 17660 30683 53863 61366 107726 122732 153415 188299 215452 269315 306830 376598 444149 538630 613660 753196 888298 941495 1077260 1776596 1882990 2220745 3765980 4441490 8882980 11486239 22972478 27093089 45944956 54186178 57431195 94714397 108372356 114862390 135465445 166268017 189428794 229724780 270930890 332536034 378857588 473571985 541861780 665072068 831340085 947143970 1662680170 1894287940 3325360340 5777578217 10142349037 11555156434 20284698074 23110312868 28887891085 40569396148 50711745185 57775782170 83632812551 101423490370 115551564340 167265625102 202846980740 334531250204 418164062755 836328125510 1672656251020 5101601565611 10203203131222 20406406262444 25508007828055 51016015656110 102032031312220