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102142024220 = 22533715154603
BaseRepresentation
bin101111100100000100…
…0111001101000011100
3100202122110020110002002
41133020020321220130
53133141324233340
6114531242021432
710244113611035
oct1371010715034
9322573213062
10102142024220
113a355567655
12179671a7878
13982a5225b2
144d2d729a8c
1529cc303715
hex17c8239a1c

102142024220 has 24 divisors (see below), whose sum is σ = 215134758384. Its totient is φ = 40735570176.

The previous prime is 102142024207. The next prime is 102142024289. The reversal of 102142024220 is 22420241201.

It is a super-2 number, since 2×1021420242202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102142024192 and 102142024201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7570562 + ... + 7584041.

It is an arithmetic number, because the mean of its divisors is an integer number (8963948266).

Almost surely, 2102142024220 is an apocalyptic number.

102142024220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102142024220 is an abundant number, since it is smaller than the sum of its proper divisors (112992734164).

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

102142024220 is a wasteful number, since it uses less digits than its factorization.

102142024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15154949 (or 15154947 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102142024220 its reverse (22420241201), we get a palindrome (124562265421).

The spelling of 102142024220 in words is "one hundred two billion, one hundred forty-two million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 15154603 30309206 60618412 75773015 151546030 303092060 5107101211 10214202422 20428404844 25535506055 51071012110 102142024220