Search a number
-
+
1103400321401 = 74147233569617
BaseRepresentation
bin10000000011100111110…
…010001100000101111001
310220111001212100222210102
4100003213302030011321
5121034230440241101
62202521202125145
7142501200661010
oct20034762140571
93814055328712
101103400321401
11395a49796874
12159a1a6507b5
13800863b4481
143b594d19a77
151da7e26d86b
hex100e7c8c179

1103400321401 has 64 divisors (see below), whose sum is σ = 1329412331520. Its totient is φ = 896161136640.

The previous prime is 1103400321379. The next prime is 1103400321407. The reversal of 1103400321401 is 1041230043011.

It is a de Polignac number, because none of the positive numbers 2k-1103400321401 is a prime.

It is a super-3 number, since 3×11034003214013 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1103400321407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1788330845 + ... + 1788331461.

It is an arithmetic number, because the mean of its divisors is an integer number (20772067680).

Almost surely, 21103400321401 is an apocalyptic number.

It is an amenable number.

1103400321401 is a deficient number, since it is larger than the sum of its proper divisors (226012010119).

1103400321401 is a wasteful number, since it uses less digits than its factorization.

1103400321401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1103400321401 its reverse (1041230043011), we get a palindrome (2144630364412).

The spelling of 1103400321401 in words is "one trillion, one hundred three billion, four hundred million, three hundred twenty-one thousand, four hundred one".

Divisors: 1 7 41 47 233 287 329 569 617 1631 1927 3983 4319 9553 10951 13489 23329 25297 26743 28999 66871 76657 132577 143761 163303 177079 187201 202993 351073 448991 928039 1006327 1096463 1188959 2457511 3142937 5435657 5894201 6231119 6756767 7675241 8322713 14393993 16500431 38049599 41259407 43617833 47297369 81800009 100757951 115503017 255475879 277027447 572600063 676517671 1788331153 1939192129 3353800369 3844600423 4735623697 23476602583 26912202961 157628617343 1103400321401