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100021120512 = 293149437033
BaseRepresentation
bin101110100100110111…
…0010010111000000000
3100120011122101101010220
41131021232102320000
53114320401324022
6113540555423040
710140421332225
oct1351156227000
9316148341126
10100021120512
1139467351275
1217474a54a80
13957ccc5ba1
144babb9b94c
15290600c85c
hex1749b92e00

100021120512 has 80 divisors (see below), whose sum is σ = 268251469200. Its totient is φ = 33116536832.

The previous prime is 100021120429. The next prime is 100021120513. The reversal of 100021120512 is 215021120001.

It is a junction number, because it is equal to n+sod(n) for n = 100021120491 and 100021120500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021120513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10348 + ... + 447380.

It is an arithmetic number, because the mean of its divisors is an integer number (3353143365).

Almost surely, 2100021120512 is an apocalyptic number.

100021120512 is a gapful number since it is divisible by the number (12) 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 100021120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134125734600).

100021120512 is an abundant number, since it is smaller than the sum of its proper divisors (168230348688).

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

100021120512 is an equidigital number, since it uses as much as digits as its factorization.

100021120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437203 (or 437187 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 100021120512 its reverse (215021120001), we get a palindrome (315042240513).

The spelling of 100021120512 in words is "one hundred billion, twenty-one million, one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 512 596 768 894 1192 1536 1788 2384 3576 4768 7152 9536 14304 19072 28608 38144 57216 76288 114432 228864 437033 874066 1311099 1748132 2622198 3496264 5244396 6992528 10488792 13985056 20977584 27970112 41955168 55940224 65117917 83910336 111880448 130235834 167820672 195353751 223760896 260471668 335641344 390707502 520943336 671282688 781415004 1041886672 1562830008 2083773344 3125660016 4167546688 6251320032 8335093376 12502640064 16670186752 25005280128 33340373504 50010560256 100021120512