Search a number
-
+
100021021120 = 265312565691
BaseRepresentation
bin101110100100110110…
…1111010100111000000
3100120011122012022210201
41131021231322213000
53114320340133440
6113540553334544
710140420436366
oct1351155724700
9316148168721
10100021021120
1139467293629
1217474a07454
13957cc8c887
144babb73636
152905edd19a
hex1749b7a9c0

100021021120 has 28 divisors (see below), whose sum is σ = 238175057304. Its totient is φ = 40008408320.

The previous prime is 100021021099. The next prime is 100021021147. The reversal of 100021021120 is 21120120001.

100021021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100021021097 and 100021021106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156282526 + ... + 156283165.

Almost surely, 2100021021120 is an apocalyptic number.

100021021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021021120 is an abundant number, since it is smaller than the sum of its proper divisors (138154036184).

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

100021021120 is an equidigital number, since it uses as much as digits as its factorization.

100021021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312565708 (or 312565698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100021021120 its reverse (21120120001), we get a palindrome (121141141121).

The spelling of 100021021120 in words is "one hundred billion, twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 312565691 625131382 1250262764 1562828455 2500525528 3125656910 5001051056 6251313820 10002102112 12502627640 20004204224 25005255280 50010510560 100021021120