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202000200012 = 22321347127167433
BaseRepresentation
bin1011110000100000100…
…1100111000101001100
3201022101202000101002100
42330020021213011030
511302144022400022
6232444141155100
720410516240632
oct2741011470514
9638352011070
10202000200012
1178738935066
123319555ba90
1316082836590
149ac39cd352
1553c3d761ac
hex2f0826714c

202000200012 has 288 divisors, whose sum is σ = 570715471872. Its totient is φ = 59852556288.

The previous prime is 202000199983. The next prime is 202000200013. The reversal of 202000200012 is 210002000202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202000199967 and 202000200003.

It is not an unprimeable number, because it can be changed into a prime (202000200013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 466512948 + ... + 466513380.

It is an arithmetic number, because the mean of its divisors is an integer number (1981650944).

Almost surely, 2202000200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285357735936).

202000200012 is an abundant number, since it is smaller than the sum of its proper divisors (368715271860).

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

202000200012 is a wasteful number, since it uses less digits than its factorization.

202000200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202000200012 its reverse (210002000202), we get a palindrome (412002200214).

The spelling of 202000200012 in words is "two hundred two billion, two hundred thousand, twelve".