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120202012200100 = 225224142711167791
BaseRepresentation
bin11011010101001010110110…
…001111010000110010100100
3120202121012101220101002001111
4123111022312033100302210
5111223342210110400400
61103352013031234404
734214210626434565
oct3325126617206244
9522535356332044
10120202012200100
11353334292550a6
1211593b56818a04
13520c0025a529c
142197b464a416c
15dd6ae459c3ba
hex6d52b63d0ca4

120202012200100 has 72 divisors (see below), whose sum is σ = 261982233063936. Its totient is φ = 47870047680000.

The previous prime is 120202012200077. The next prime is 120202012200133. The reversal of 120202012200100 is 1002210202021.

It is a happy number.

It is a super-4 number, since 4×1202020122001004 (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102347205 + ... + 103514995.

It is an arithmetic number, because the mean of its divisors is an integer number (3638642125888).

Almost surely, 2120202012200100 is an apocalyptic number.

120202012200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202012200100 is an abundant number, since it is smaller than the sum of its proper divisors (141780220863836).

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

120202012200100 is a wasteful number, since it uses less digits than its factorization.

120202012200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172317 (or 1172310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120202012200100 its reverse (1002210202021), we get a palindrome (121204222402121).

The spelling of 120202012200100 in words is "one hundred twenty trillion, two hundred two billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4271 4820 6025 8542 12050 17084 21355 24100 42710 85420 106775 213550 427100 1029311 1167791 2058622 2335582 4117244 4671164 5146555 5838955 10293110 11677910 20586220 23355820 25732775 29194775 51465550 58389550 102931100 116779100 281437631 562875262 1125750524 1407188155 2814376310 4987635361 5628752620 7035940775 9975270722 14071881550 19950541444 24938176805 28143763100 49876353610 99752707220 124690884025 249381768050 498763536100 1202020122001 2404040244002 4808080488004 6010100610005 12020201220010 24040402440020 30050503050025 60101006100050 120202012200100