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100442413452 = 223271151120441
BaseRepresentation
bin101110110001011010…
…1011001100110001100
3100121021000010021102010
41131202311121212030
53121201224212302
6114050445301220
710154025266433
oct1354265314614
9317230107363
10100442413452
113966313a957
1217571b64810
139619381254
144c0bb0611a
15292ceca16c
hex1762d5998c

100442413452 has 48 divisors (see below), whose sum is σ = 235397643264. Its totient is φ = 33333552000.

The previous prime is 100442413429. The next prime is 100442413453. The reversal of 100442413452 is 254314244001.

100442413452 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100442413453) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4903552 + ... + 4923992.

It is an arithmetic number, because the mean of its divisors is an integer number (4904117568).

Almost surely, 2100442413452 is an apocalyptic number.

100442413452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100442413452 is an abundant number, since it is smaller than the sum of its proper divisors (134955229812).

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

100442413452 is a wasteful number, since it uses less digits than its factorization.

100442413452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22230 (or 22228 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 100442413452 its reverse (254314244001), we get a palindrome (354756657453).

The spelling of 100442413452 in words is "one hundred billion, four hundred forty-two million, four hundred thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 271 542 813 1084 1511 1626 3022 3252 4533 6044 9066 18132 20441 40882 61323 81764 122646 245292 409481 818962 1228443 1637924 2456886 4913772 5539511 11079022 16618533 22158044 30886351 33237066 61772702 66474132 92659053 123545404 185318106 370636212 8370201121 16740402242 25110603363 33480804484 50221206726 100442413452