Search a number
-
+
10210332400 = 2452101252731
BaseRepresentation
bin10011000001001010…
…10100111011110000
3222100120112121221021
421200211110323300
5131402321114100
64405054505224
7511010251642
oct114045247360
928316477837
1010210332400
11436a514944
121b8b505214
13c69451708
146cc074892
153eb5a8a1a
hex260954ef0

10210332400 has 60 divisors (see below), whose sum is σ = 24773296104. Its totient is φ = 4043680000.

The previous prime is 10210332371. The next prime is 10210332401. The reversal of 10210332400 is 423301201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210332401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85966 + ... + 166765.

Almost surely, 210210332400 is an apocalyptic number.

10210332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210332400 is an abundant number, since it is smaller than the sum of its proper divisors (14562963704).

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

10210332400 is a wasteful number, since it uses less digits than its factorization.

10210332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252850 (or 252839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10210332400 its reverse (423301201), we get a palindrome (10633633601).

The spelling of 10210332400 in words is "ten billion, two hundred ten million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 252731 505462 1010924 1263655 2021848 2527310 4043696 5054620 6318275 10109240 12636550 20218480 25273100 25525831 50546200 51051662 101092400 102103324 127629155 204206648 255258310 408413296 510516620 638145775 1021033240 1276291550 2042066480 2552583100 5105166200 10210332400