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10200110020120 = 235535981548689
BaseRepresentation
bin1001010001101110010111…
…1011110011011000011000
31100010010021012112112120001
42110123211323303120120
52314104311131120440
633405511005142344
72101635143425546
oct224334573633030
940103235475501
1010200110020120
11328292a20aa39
121188a2425a9b4
1358cb351b8c57
1427398ba8cd96
1512a4dcd9ab9a
hex946e5ef3618

10200110020120 has 64 divisors (see below), whose sum is σ = 23779598004000. Its totient is φ = 3935213488128.

The previous prime is 10200110020099. The next prime is 10200110020157. The reversal of 10200110020120 is 2102001100201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10200110020097 and 10200110020106.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40649265 + ... + 40899424.

Almost surely, 210200110020120 is an apocalyptic number.

10200110020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200110020120 is an abundant number, since it is smaller than the sum of its proper divisors (13579487983880).

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

10200110020120 is a wasteful number, since it uses less digits than its factorization.

10200110020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81548812 (or 81548808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200110020120 its reverse (2102001100201), we get a palindrome (12302111120321).

The spelling of 10200110020120 in words is "ten trillion, two hundred billion, one hundred ten million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 59 106 118 212 236 265 295 424 472 530 590 1060 1180 2120 2360 3127 6254 12508 15635 25016 31270 62540 125080 81548689 163097378 326194756 407743445 652389512 815486890 1630973780 3261947560 4322080517 4811372651 8644161034 9622745302 17288322068 19245490604 21610402585 24056863255 34576644136 38490981208 43220805170 48113726510 86441610340 96227453020 172883220680 192454906040 255002750503 510005501006 1020011002012 1275013752515 2040022004024 2550027505030 5100055010060 10200110020120