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202012011000 = 233253124917971
BaseRepresentation
bin1011110000100011011…
…0101010100111111000
3201022102120020102201100
42330020312222213320
511302210033323000
6232445242251400
720411021522202
oct2741066524770
9638376212640
10202012011000
1178744571908
12331994b6b60
1316085110527
149ac53c5772
1553c4e0aa00
hex2f08daa9f8

202012011000 has 192 divisors, whose sum is σ = 683385300000. Its totient is φ = 53823744000.

The previous prime is 202012010969. The next prime is 202012011023. The reversal of 202012011000 is 110210202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11232015 + ... + 11249985.

Almost surely, 2202012011000 is an apocalyptic number.

202012011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341692650000).

202012011000 is an abundant number, since it is smaller than the sum of its proper divisors (481373289000).

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

202012011000 is a wasteful number, since it uses less digits than its factorization.

202012011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19247 (or 19230 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202012011000 its reverse (110210202), we get a palindrome (202122221202).

It can be divided in two parts, 2020120 and 11000, that added together give a triangular number (2031120 = T2015).

The spelling of 202012011000 in words is "two hundred two billion, twelve million, eleven thousand".