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102022002012120 = 23358231033029587
BaseRepresentation
bin10111001100100111011001…
…001100000110111111011000
3111101020012121201211101211120
4113030213121030012333120
5101333012030003341440
61000552132151125240
730326563213516251
oct2714473114067730
9441205551741746
10102022002012120
112a564319478353
12b53866a073820
1344c0830a850a8
141b29c69807b28
15bbdc5e176dd0
hex5cc9d9306fd8

102022002012120 has 64 divisors (see below), whose sum is σ = 306437896984320. Its totient is φ = 27172810230144.

The previous prime is 102022002012109. The next prime is 102022002012143. The reversal of 102022002012120 is 21210200220201.

It is a super-2 number, since 2×1020220020121202 (a number of 29 digits) contains 22 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 102022002012120.

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, 516416034 + ... + 516613553.

It is an arithmetic number, because the mean of its divisors is an integer number (4788092140380).

Almost surely, 2102022002012120 is an apocalyptic number.

102022002012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022002012120 is an abundant number, since it is smaller than the sum of its proper divisors (204415894972200).

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

102022002012120 is a wasteful number, since it uses less digits than its factorization.

102022002012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033030424 (or 1033030420 counting only the distinct ones).

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

Adding to 102022002012120 its reverse (21210200220201), we get a palindrome (123232202232321).

The spelling of 102022002012120 in words is "one hundred two trillion, twenty-two billion, two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 823 1646 2469 3292 4115 4938 6584 8230 9876 12345 16460 19752 24690 32920 49380 98760 1033029587 2066059174 3099088761 4132118348 5165147935 6198177522 8264236696 10330295870 12396355044 15495443805 20660591740 24792710088 30990887610 41321183480 61981775220 123963550440 850183350101 1700366700202 2550550050303 3400733400404 4250916750505 5101100100606 6801466800808 8501833501010 10202200201212 12752750251515 17003667002020 20404400402424 25505500503030 34007334004040 51011001006060 102022002012120