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101244306304 = 272946358909
BaseRepresentation
bin101111001001010100…
…0011000001110000000
3100200022220000122121101
41132102220120032000
53124322020300204
6114302212504144
710212633255451
oct1362250301600
9320286018541
10101244306304
1139a34853919
121775661b054
13971654786b
144c86405128
1529785c7ea4
hex1792a18380

101244306304 has 64 divisors (see below), whose sum is σ = 209106936000. Its totient is φ = 48770168832.

The previous prime is 101244306299. The next prime is 101244306341. The reversal of 101244306304 is 403603442101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1689202 + ... + 1748110.

It is an arithmetic number, because the mean of its divisors is an integer number (3267295875).

Almost surely, 2101244306304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101244306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104553468000).

101244306304 is an abundant number, since it is smaller than the sum of its proper divisors (107862629696).

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

101244306304 is an equidigital number, since it uses as much as digits as its factorization.

101244306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59415 (or 59403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 101244306304 its reverse (403603442101), we get a palindrome (504847748405).

The spelling of 101244306304 in words is "one hundred one billion, two hundred forty-four million, three hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 463 464 926 928 1852 1856 3704 3712 7408 13427 14816 26854 29632 53708 58909 59264 107416 117818 214832 235636 429664 471272 859328 942544 1708361 1718656 1885088 3416722 3770176 6833444 7540352 13666888 27274867 27333776 54549734 54667552 109099468 109335104 218198936 218670208 436397872 790971143 872795744 1581942286 1745591488 3163884572 3491182976 6327769144 12655538288 25311076576 50622153152 101244306304