Search a number
-
+
10010210100 = 22352111392157
BaseRepresentation
bin10010101001010011…
…11010111100110100
3221211121222100202020
421110221322330310
5131000103210400
64333145313140
7503030245002
oct112451727464
927747870666
1010010210100
114277559010
121b344957b0
13c36b53857
146ad65da72
153d8c282a0
hex254a7af34

10010210100 has 216 divisors, whose sum is σ = 32027512608. Its totient is φ = 2393913600.

The previous prime is 10010210083. The next prime is 10010210123. The reversal of 10010210100 is 101201001.

It is a super-2 number, since 2×100102101002 (a number of 21 digits) contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63759222 + ... + 63759378.

Almost surely, 210010210100 is an apocalyptic number.

10010210100 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 10010210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013756304).

10010210100 is an abundant number, since it is smaller than the sum of its proper divisors (22017302508).

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

10010210100 is a wasteful number, since it uses less digits than its factorization.

10010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 317 counting only the distinct ones).

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

Adding to 10010210100 its reverse (101201001), we get a palindrome (10111411101).

Subtracting from 10010210100 its reverse (101201001), we obtain a palindrome (9909009099).

The spelling of 10010210100 in words is "ten billion, ten million, two hundred ten thousand, one hundred".