Search a number
-
+
103364101435 = 57197312231741
BaseRepresentation
bin110000001000011111…
…0110000010100111011
3100212210121210101212011
41200100332300110323
53143142202221220
6115252415230351
710316313236260
oct1402076602473
9325717711764
10103364101435
113a922382321
12180485183b7
1399937767ca
145007b65267
152a4e75065a
hex1810fb053b

103364101435 has 64 divisors (see below), whose sum is σ = 151472056320. Its totient is φ = 66135813120.

The previous prime is 103364101429. The next prime is 103364101453. The reversal of 103364101435 is 534101463301.

It is not a de Polignac number, because 103364101435 - 23 = 103364101427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103364101397 and 103364101406.

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 63 ways as a sum of consecutive naturals, for example, 59369665 + ... + 59371405.

It is an arithmetic number, because the mean of its divisors is an integer number (2366750880).

Almost surely, 2103364101435 is an apocalyptic number.

103364101435 is a deficient number, since it is larger than the sum of its proper divisors (48107954885).

103364101435 is a wasteful number, since it uses less digits than its factorization.

103364101435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 103364101435 its reverse (534101463301), we get a palindrome (637465564736).

The spelling of 103364101435 in words is "one hundred three billion, three hundred sixty-four million, one hundred one thousand, four hundred thirty-five".

Divisors: 1 5 7 19 35 73 95 133 365 511 665 1223 1387 1741 2555 6115 6935 8561 8705 9709 12187 23237 33079 42805 48545 60935 89279 116185 127093 162659 165395 231553 446395 624953 635465 813295 889651 1157765 1696301 2129243 2414767 3124765 4448255 8481505 10646215 11874107 12073835 14904701 16903369 40455617 59370535 74523505 84516845 155434739 202278085 283189319 777173695 1088043173 1415946595 2953260041 5440215865 14766300205 20672820287 103364101435