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102022212120120 = 23325283395033667
BaseRepresentation
bin10111001100100111100101…
…101101100110111000111000
3111101020020011101011222211100
4113030213211231212320320
5101333012442300320440
61000552205054331400
730326601344433105
oct2714474555467070
9441206141158740
10102022212120120
112a564417034626
12b5387084b9b60
1344c086546b156
141b29c8969baac
15bbdc7282b230
hex5cc9e5b66e38

102022212120120 has 48 divisors (see below), whose sum is σ = 331572189391560. Its totient is φ = 27205923231936.

The previous prime is 102022212120113. The next prime is 102022212120137. The reversal of 102022212120120 is 21021212220201.

It is a happy number.

102022212120120 is a `hidden beast` number, since 1 + 0 + 202 + 221 + 2 + 120 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102022212120093 and 102022212120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141697516474 + ... + 141697517193.

Almost surely, 2102022212120120 is an apocalyptic number.

102022212120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022212120120 is an abundant number, since it is smaller than the sum of its proper divisors (229549977271440).

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

102022212120120 is a wasteful number, since it uses less digits than its factorization.

102022212120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283395033684 (or 283395033677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022212120120 its reverse (21021212220201), we get a palindrome (123043424340321).

The spelling of 102022212120120 in words is "one hundred two trillion, twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 283395033667 566790067334 850185101001 1133580134668 1416975168335 1700370202002 2267160269336 2550555303003 2833950336670 3400740404004 4250925505005 5101110606006 5667900673340 6801480808008 8501851010010 10202221212012 11335801346680 12752776515015 17003702020020 20404442424024 25505553030030 34007404040040 51011106060060 102022212120120