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10200000120 = 2335389218509
BaseRepresentation
bin10010111111111011…
…11010011001111000
3222022212002200201020
421133331322121320
5131342200000440
64404045222440
7510523366452
oct113775723170
928285080636
1010200000120
1143646a8072
121b87b61a20
13c6727483b
146ca9452d2
153ea7173d0
hex25ff7a678

10200000120 has 64 divisors (see below), whose sum is σ = 30678804000. Its totient is φ = 2712995328.

The previous prime is 10200000077. The next prime is 10200000143. The reversal of 10200000120 is 2100000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10200000099 and 10200000108.

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, 62575 + ... + 155934.

Almost surely, 210200000120 is an apocalyptic number.

10200000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200000120 is an abundant number, since it is smaller than the sum of its proper divisors (20478803880).

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

10200000120 is a wasteful number, since it uses less digits than its factorization.

10200000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218912 (or 218908 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10200000120 its reverse (2100000201), we get a palindrome (12300000321).

The spelling of 10200000120 in words is "ten billion, two hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 11670 15560 23340 46680 218509 437018 655527 874036 1092545 1311054 1748072 2185090 2622108 3277635 4370180 5244216 6555270 8740360 13110540 26221080 85000001 170000002 255000003 340000004 425000005 510000006 680000008 850000010 1020000012 1275000015 1700000020 2040000024 2550000030 3400000040 5100000060 10200000120