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100024444331 = 717929904781
BaseRepresentation
bin101110100100111101…
…0111110010110101011
3100120011212122020120022
41131021322332112223
53114322224204311
6113541154551055
710140461514530
oct1351172762653
9316155566508
10100024444331
1139469211529
1217475b9848b
1395808baa46
144bac3c4d87
1529064675db
hex1749ebe5ab

100024444331 has 16 divisors (see below), whose sum is σ = 121168405440. Its totient is φ = 80605040640.

The previous prime is 100024444319. The next prime is 100024444343. The reversal of 100024444331 is 133444420001.

It is an interprime number because it is at equal distance from previous prime (100024444319) and next prime (100024444343).

It is a cyclic number.

It is not a de Polignac number, because 100024444331 - 210 = 100024443307 is a prime.

It is a super-2 number, since 2×1000244443312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100024444331.

It is not an unprimeable number, because it can be changed into a prime (100024444381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341840 + ... + 562941.

It is an arithmetic number, because the mean of its divisors is an integer number (7573025340).

Almost surely, 2100024444331 is an apocalyptic number.

100024444331 is a deficient number, since it is larger than the sum of its proper divisors (21143961109).

100024444331 is an equidigital number, since it uses as much as digits as its factorization.

100024444331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905734.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 100024444331 its reverse (133444420001), we get a palindrome (233468864332).

The spelling of 100024444331 in words is "one hundred billion, twenty-four million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 7 17 119 929 6503 15793 110551 904781 6333467 15381277 107668939 840541549 5883790843 14289206333 100024444331