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102012220020120 = 23354120734191061
BaseRepresentation
bin10111001100011110010010…
…001000110001010110011000
3111101012021101000021201110120
4113030132102020301112120
5101332332011311120440
61000543433353113240
730326065624123164
oct2714362210612630
9441167330251416
10102012220020120
112a560159825a43
12b53679a0b8820
1344bc9322b8747
141b295bc5d3ca4
15bbd88a4cddd0
hex5cc792231598

102012220020120 has 64 divisors (see below), whose sum is σ = 313500968857440. Its totient is φ = 26539764556800.

The previous prime is 102012220020119. The next prime is 102012220020167. The reversal of 102012220020120 is 21020022210201.

It is a super-3 number, since 3×1020122200201203 (a number of 43 digits) contains 333 as substring.

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 102012220020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10367090611 + ... + 10367100450.

Almost surely, 2102012220020120 is an apocalyptic number.

102012220020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012220020120 is an abundant number, since it is smaller than the sum of its proper divisors (211488748837320).

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

102012220020120 is a wasteful number, since it uses less digits than its factorization.

102012220020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20734191116 (or 20734191112 counting only the distinct ones).

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

Adding to 102012220020120 its reverse (21020022210201), we get a palindrome (123032242230321).

The spelling of 102012220020120 in words is "one hundred two trillion, twelve billion, two hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 20734191061 41468382122 62202573183 82936764244 103670955305 124405146366 165873528488 207341910610 248810292732 311012865915 414683821220 497620585464 622025731830 829367642440 850101833501 1244051463660 1700203667002 2488102927320 2550305500503 3400407334004 4250509167505 5100611001006 6800814668008 8501018335010 10201222002012 12751527502515 17002036670020 20402444004024 25503055005030 34004073340040 51006110010060 102012220020120