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10200020010120 = 2332528333388917
BaseRepresentation
bin1001010001101110000010…
…0100011100010010001000
31100010010000221011120001100
42110123200210130102020
52314104120110310440
633405454032021400
72101633001361663
oct224334044342210
940103027146040
1010200020010120
113282893422106
1211889ba091860
1358cb1c6625b5
1427397db3c6da
1512a4d501b230
hex946e091c488

10200020010120 has 48 divisors (see below), whose sum is σ = 33150065034060. Its totient is φ = 2720005335936.

The previous prime is 10200020010043. The next prime is 10200020010127. The reversal of 10200020010120 is 2101002000201.

It can be written as a sum of positive squares in 2 ways, for example, as 8970036980004 + 1229983030116 = 2995002^2 + 1109046^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10200020010127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14166694099 + ... + 14166694818.

Almost surely, 210200020010120 is an apocalyptic number.

10200020010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200020010120 is an abundant number, since it is smaller than the sum of its proper divisors (22950045023940).

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

10200020010120 is a wasteful number, since it uses less digits than its factorization.

10200020010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28333388934 (or 28333388927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200020010120 its reverse (2101002000201), we get a palindrome (12301022010321).

The spelling of 10200020010120 in words is "ten trillion, two hundred billion, twenty million, ten 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 28333388917 56666777834 85000166751 113333555668 141666944585 170000333502 226667111336 255000500253 283333889170 340000667004 425000833755 510001000506 566667778340 680001334008 850001667510 1020002001012 1133335556680 1275002501265 1700003335020 2040004002024 2550005002530 3400006670040 5100010005060 10200020010120