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100431441330 = 235111092792089
BaseRepresentation
bin101110110001000101…
…1100010110110110010
3100121020020110211111020
41131202023202312302
53121140422110310
6114045414200310
710153533110643
oct1354213426662
9317206424436
10100431441330
1139657a26390
121756a353096
13961700c07c
144c0a48b6ca
15292c05e170
hex17622e2db2

100431441330 has 64 divisors (see below), whose sum is σ = 265360233600. Its totient is φ = 24123640320.

The previous prime is 100431441283. The next prime is 100431441343. The reversal of 100431441330 is 33144134001.

It is a self number, because there is not a number n which added to its sum of digits gives 100431441330.

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 31 ways as a sum of consecutive naturals, for example, 1360075 + ... + 1432014.

It is an arithmetic number, because the mean of its divisors is an integer number (4146253650).

Almost surely, 2100431441330 is an apocalyptic number.

100431441330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100431441330 is an abundant number, since it is smaller than the sum of its proper divisors (164928792270).

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

100431441330 is a wasteful number, since it uses less digits than its factorization.

100431441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792219.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100431441330 its reverse (33144134001), we get a palindrome (133575575331).

The spelling of 100431441330 in words is "one hundred billion, four hundred thirty-one million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 654 1090 1199 1635 2398 3270 3597 5995 7194 11990 17985 35970 2792089 5584178 8376267 13960445 16752534 27920890 30712979 41881335 61425958 83762670 92138937 153564895 184277874 304337701 307129790 460694685 608675402 913013103 921389370 1521688505 1826026206 3043377010 3347714711 4565065515 6695429422 9130131030 10043144133 16738573555 20086288266 33477147110 50215720665 100431441330