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11210001000 = 2335311379181
BaseRepresentation
bin10100111000010101…
…10000101001101000
31001221020121001110020
422130022300221220
5140424230013000
65052205120440
7544536302442
oct123412605150
931836531406
1011210001000
114832831740
12220a259120
1310985a3ab3
14784b37492
15459221ba0
hex29c2b0a68

11210001000 has 256 divisors, whose sum is σ = 39190245120. Its totient is φ = 2643840000.

The previous prime is 11210000993. The next prime is 11210001031. The reversal of 11210001000 is 10001211.

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 11210001000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216410 + ... + 1225590.

It is an arithmetic number, because the mean of its divisors is an integer number (153086895).

Almost surely, 211210001000 is an apocalyptic number.

11210001000 is a gapful number since it is divisible by the number (10) 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 11210001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595122560).

11210001000 is an abundant number, since it is smaller than the sum of its proper divisors (27980244120).

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

11210001000 is a wasteful number, since it uses less digits than its factorization.

11210001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11210001000 its reverse (10001211), we get a palindrome (11220002211).

The spelling of 11210001000 in words is "eleven billion, two hundred ten million, one thousand".