Search a number
-
+
2000101212120 = 2335111515228191
BaseRepresentation
bin11101000110101111010…
…100100111111111011000
321002012121111021221220010
4131012233110213333120
5230232201402241440
64130500034201520
7264334241536104
oct35065724477730
97065544257803
102000101212120
11701268a9aa70
12283771a232a0
131167bb5107bb
146cb3c0b8904
1537061d21580
hex1d1af527fd8

2000101212120 has 64 divisors (see below), whose sum is σ = 6545785789440. Its totient is φ = 484873020800.

The previous prime is 2000101212119. The next prime is 2000101212163. The reversal of 2000101212120 is 212121010002.

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 = 2000101212096 and 2000101212105.

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, 757612776 + ... + 757615415.

It is an arithmetic number, because the mean of its divisors is an integer number (102277902960).

Almost surely, 22000101212120 is an apocalyptic number.

2000101212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000101212120 is an abundant number, since it is smaller than the sum of its proper divisors (4545684577320).

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

2000101212120 is a wasteful number, since it uses less digits than its factorization.

2000101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515228216 (or 1515228212 counting only the distinct ones).

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

Adding to 2000101212120 its reverse (212121010002), we get a palindrome (2212222222122).

The spelling of 2000101212120 in words is "two trillion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1515228191 3030456382 4545684573 6060912764 7576140955 9091369146 12121825528 15152281910 16667510101 18182738292 22728422865 30304563820 33335020202 36365476584 45456845730 50002530303 60609127640 66670040404 83337550505 90913691460 100005060606 133340080808 166675101010 181827382920 200010121212 250012651515 333350202020 400020242424 500025303030 666700404040 1000050606060 2000101212120