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100192507024 = 24791332
BaseRepresentation
bin101110101001111110…
…0000101010010010000
3100120121120212201020111
41131103330011102100
53120143240211044
6114010001051104
710144602154321
oct1352374052220
9316546781214
10100192507024
1139545070515
1217502326a94
1395a967231c
144bc6852448
1529160b3b34
hex1753f05490

100192507024 has 15 divisors (see below), whose sum is σ = 194125435513. Its totient is φ = 50095620448.

The previous prime is 100192507007. The next prime is 100192507027. The reversal of 100192507024 is 420705291001.

The square root of 100192507024 is 316532.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91047027600 + 9145479424 = 301740^2 + 95632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100192507027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1226562 + ... + 1305694.

Almost surely, 2100192507024 is an apocalyptic number.

100192507024 is the 316532-nd square number.

It is an amenable number.

100192507024 is a deficient number, since it is larger than the sum of its proper divisors (93932928489).

100192507024 is an frugal number, since it uses more digits than its factorization.

100192507024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158274 (or 79135 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 100192507024 its reverse (420705291001), we get a palindrome (520897798025).

The spelling of 100192507024 in words is "one hundred billion, one hundred ninety-two million, five hundred seven thousand, twenty-four".

Divisors: 1 2 4 8 16 79133 158266 316532 633064 1266128 6262031689 12524063378 25048126756 50096253512 100192507024