Search a number
-
+
2000101122120 = 2335142311712937
BaseRepresentation
bin11101000110101111010…
…100010010000001001000
321002012121111010101102210
4131012233110102001020
5230232201341401440
64130500032225120
7264334241012523
oct35065724220110
97065544111383
102000101122120
11701268a39392
1228377199b1a0
131167bb4ab84a
146cb3c093bba
1537061d04a80
hex1d1af512048

2000101122120 has 64 divisors (see below), whose sum is σ = 6004520536320. Its totient is φ = 532985439744.

The previous prime is 2000101122083. The next prime is 2000101122163. The reversal of 2000101122120 is 212211010002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2000101122096 and 2000101122105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5685709 + ... + 6027228.

It is an arithmetic number, because the mean of its divisors is an integer number (93820633380).

Almost surely, 22000101122120 is an apocalyptic number.

2000101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000101122120 is an abundant number, since it is smaller than the sum of its proper divisors (4004419414200).

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

2000101122120 is a wasteful number, since it uses less digits than its factorization.

2000101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11714374 (or 11714370 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2000101122120 its reverse (212211010002), we get a palindrome (2212312132122).

The spelling of 2000101122120 in words is "two trillion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1423 2846 4269 5692 7115 8538 11384 14230 17076 21345 28460 34152 42690 56920 85380 170760 11712937 23425874 35138811 46851748 58564685 70277622 93703496 117129370 140555244 175694055 234258740 281110488 351388110 468517480 702776220 1405552440 16667509351 33335018702 50002528053 66670037404 83337546755 100005056106 133340074808 166675093510 200010112212 250012640265 333350187020 400020224424 500025280530 666700374040 1000050561060 2000101122120