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2000102224122 = 232891248503261
BaseRepresentation
bin11101000110101111011…
…000011111000011111010
321002012121120012101002200
4131012233120133003322
5230232202132132442
64130500112011030
7264334253252412
oct35065730370372
97065546171080
102000102224122
11701269621332
12283772230a76
131167bb7a6312
146cb3c29d642
1537061e7134c
hex1d1af61f0fa

2000102224122 has 24 divisors (see below), whose sum is σ = 4382246449620. Its totient is φ = 659209721280.

The previous prime is 2000102224091. The next prime is 2000102224129. The reversal of 2000102224122 is 2214222010002.

2000102224122 is a `hidden beast` number, since 20 + 0 + 0 + 10 + 222 + 412 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1998663615081 + 1438609041 = 1413741^2 + 37929^2 .

It is a super-2 number, since 2×20001022241222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000102224095 and 2000102224104.

It is not an unprimeable number, because it can be changed into a prime (2000102224129) 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, 624250029 + ... + 624253232.

Almost surely, 22000102224122 is an apocalyptic number.

2000102224122 is an abundant number, since it is smaller than the sum of its proper divisors (2382144225498).

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

2000102224122 is a wasteful number, since it uses less digits than its factorization.

2000102224122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248503358 (or 1248503355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2000102224122 its reverse (2214222010002), we get a palindrome (4214324234124).

The spelling of 2000102224122 in words is "two trillion, one hundred two million, two hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 1248503261 2497006522 3745509783 7491019566 11236529349 22473058698 111116790229 222233580458 333350370687 666700741374 1000051112061 2000102224122