Search a number
-
+
10101210000 = 243547103467
BaseRepresentation
bin10010110100001010…
…00011101110010000
3222001222012122010220
421122011003232100
5131141402210000
64350155553040
7505213603560
oct113205035620
928058178126
1010101210000
114313962642
121b5aa5b780
13c4c96594b
146bb78ada0
153e1c011a0
hex25a143b90

10101210000 has 400 divisors, whose sum is σ = 37708729344. Its totient is φ = 2281536000.

The previous prime is 10101209941. The next prime is 10101210001. The reversal of 10101210000 is 1210101.

It is a tau number, because it is divible by the number of its divisors (400).

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 not an unprimeable number, because it can be changed into a prime (10101210001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21629767 + ... + 21630233.

Almost surely, 210101210000 is an apocalyptic number.

10101210000 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 10101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18854364672).

10101210000 is an abundant number, since it is smaller than the sum of its proper divisors (27607519344).

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

10101210000 is a wasteful number, since it uses less digits than its factorization.

10101210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

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

Adding to 10101210000 its reverse (1210101), we get a palindrome (10102420101).

The spelling of 10101210000 in words is "ten billion, one hundred one million, two hundred ten thousand".