Search a number
-
+
109375668402 = 237211133770313
BaseRepresentation
bin110010111011101001…
…1000100000010110010
3101110022120121122102120
41211313103010002302
53243000132342102
6122125124055110
710621300561500
oct1456723040262
9343276548376
10109375668402
1142427793590
1219245834496
13a411062420
145418305670
152ca23c06bc
hex19774c40b2

109375668402 has 192 divisors, whose sum is σ = 307037049984. Its totient is φ = 25514818560.

The previous prime is 109375668383. The next prime is 109375668419. The reversal of 109375668402 is 204866573901.

It is a super-2 number, since 2×1093756684022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1520398 + ... + 1590710.

It is an arithmetic number, because the mean of its divisors is an integer number (1599151302).

It is a 1-persistent number, because it is pandigital, but 2⋅109375668402 = 218751336804 is not.

Almost surely, 2109375668402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109375668402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153518524992).

109375668402 is an abundant number, since it is smaller than the sum of its proper divisors (197661381582).

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

109375668402 is a wasteful number, since it uses less digits than its factorization.

109375668402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70393 (or 70386 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

It can be divided in two parts, 109375 and 668402, that added together give a palindrome (777777).

The spelling of 109375668402 in words is "one hundred nine billion, three hundred seventy-five million, six hundred sixty-eight thousand, four hundred two".