Search a number
-
+
10200133020120 = 233585001108501
BaseRepresentation
bin1001010001101110011101…
…0011100010100111011000
31100010010022210211001121220
42110123213103202213120
52314104333023120440
633405513150132040
72101635543061131
oct224334723424730
940103283731556
1010200133020120
11328294119a1aa
121188a2bab1020
1358cb39baca14
14273990b58c88
1512a4dede08d0
hex946e74e29d8

10200133020120 has 32 divisors (see below), whose sum is σ = 30600399060720. Its totient is φ = 2720035472000.

The previous prime is 10200133020101. The next prime is 10200133020127. The reversal of 10200133020120 is 2102033100201.

10200133020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10200133020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200133020127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42500554131 + ... + 42500554370.

Almost surely, 210200133020120 is an apocalyptic number.

10200133020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200133020120 is an abundant number, since it is smaller than the sum of its proper divisors (20400266040600).

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

10200133020120 is a wasteful number, since it uses less digits than its factorization.

10200133020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85001108515 (or 85001108511 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10200133020120 its reverse (2102033100201), we get a palindrome (12302166120321).

The spelling of 10200133020120 in words is "ten trillion, two hundred billion, one hundred thirty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 85001108501 170002217002 255003325503 340004434004 425005542505 510006651006 680008868008 850011085010 1020013302012 1275016627515 1700022170020 2040026604024 2550033255030 3400044340040 5100066510060 10200133020120