Search a number
-
+
11282930100 = 22335213279313
BaseRepresentation
bin10101000001000001…
…11101100110110100
31002010022211020101000
422200200331212310
5141101412230400
65103332203300
7546413215641
oct124040754664
932108736330
1011282930100
11486aa13422
12222a769530
1310aa729900
147906bcdc8
1546082a600
hex2a083d9b4

11282930100 has 432 divisors, whose sum is σ = 39901612800. Its totient is φ = 2733419520.

The previous prime is 11282930053. The next prime is 11282930119. The reversal of 11282930100 is 103928211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36047544 + ... + 36047856.

Almost surely, 211282930100 is an apocalyptic number.

11282930100 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 11282930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950806400).

11282930100 is an abundant number, since it is smaller than the sum of its proper divisors (28618682700).

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

11282930100 is a wasteful number, since it uses less digits than its factorization.

11282930100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11282930100 in words is "eleven billion, two hundred eighty-two million, nine hundred thirty thousand, one hundred".