Search a number
-
+
20002100001210 = 232537107118747293
BaseRepresentation
bin1001000110001000110100…
…00100001011100110111010
32121211011220201222121202100
410203010122010023212322
510110203300100014320
6110312500552244230
74133050453522245
oct443043204134672
977734821877670
1020002100001210
11641192aaa7028
1222b065a9a0676
13b212613a22c2
144d216d10825c
1524a4793ed790
hex12311a10b9ba

20002100001210 has 192 divisors, whose sum is σ = 53956739371392. Its totient is φ = 5136791966208.

The previous prime is 20002100001187. The next prime is 20002100001259. The reversal of 20002100001210 is 1210000120002.

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 = 20002100001192 and 20002100001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422916324 + ... + 422963616.

It is an arithmetic number, because the mean of its divisors is an integer number (281024684226).

Almost surely, 220002100001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002100001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26978369685696).

20002100001210 is an abundant number, since it is smaller than the sum of its proper divisors (33954639370182).

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

20002100001210 is a wasteful number, since it uses less digits than its factorization.

20002100001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48637 (or 48634 counting only the distinct ones).

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

Adding to 20002100001210 its reverse (1210000120002), we get a palindrome (21212100121212).

The spelling of 20002100001210 in words is "twenty trillion, two billion, one hundred million, one thousand, two hundred ten".