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200102001000 = 233531123299091
BaseRepresentation
bin1011101001011100000…
…0100011100101101000
3201010111110012212120020
42322113000203211220
511234302103013000
6231531532200440
720312466642006
oct2722700434550
9633443185506
10200102001000
11779543aa050
1232945909120
1315b3c4b36b5
149983873a76
1553123c1ba0
hex2e97023968

200102001000 has 512 divisors, whose sum is σ = 735273676800. Its totient is φ = 44795520000.

The previous prime is 200102000953. The next prime is 200102001017. The reversal of 200102001000 is 100201002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 200102001000.

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 127 ways as a sum of consecutive naturals, for example, 22006455 + ... + 22015545.

It is an arithmetic number, because the mean of its divisors is an integer number (1436081400).

Almost surely, 2200102001000 is an apocalyptic number.

200102001000 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 200102001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367636838400).

200102001000 is an abundant number, since it is smaller than the sum of its proper divisors (535171675800).

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

200102001000 is a wasteful number, since it uses less digits than its factorization.

200102001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200102001000 its reverse (100201002), we get a palindrome (200202202002).

It can be divided in two parts, 20010 and 2001000, that multiplied together give a square (40040010000 = 2001002).

The spelling of 200102001000 in words is "two hundred billion, one hundred two million, one thousand".