Search a number
-
+
103533213042 = 2337311880699
BaseRepresentation
bin110000001101100001…
…1110111010101110010
3100220020102000011101000
41200123003313111302
53144014000304132
6115321300022430
710323435535110
oct1403303672562
9326212004330
10103533213042
113a9a9888386
1218095091a16
1399bc80764c
1450223c6ab0
152a5e50787c
hex181b0f7572

103533213042 has 64 divisors (see below), whose sum is σ = 263787264000. Its totient is φ = 29485769040.

The previous prime is 103533212999. The next prime is 103533213061. The reversal of 103533213042 is 240312335301.

103533213042 is a `hidden beast` number, since 1 + 0 + 35 + 3 + 321 + 304 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103533212997 and 103533213015.

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, 322792 + ... + 557907.

It is an arithmetic number, because the mean of its divisors is an integer number (4121676000).

Almost surely, 2103533213042 is an apocalyptic number.

103533213042 is an abundant number, since it is smaller than the sum of its proper divisors (160254050958).

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

103533213042 is a wasteful number, since it uses less digits than its factorization.

103533213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881028 (or 881022 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 103533213042 its reverse (240312335301), we get a palindrome (343845548343).

The spelling of 103533213042 in words is "one hundred three billion, five hundred thirty-three million, two hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 311 378 622 933 1866 2177 2799 4354 5598 6531 8397 13062 16794 19593 39186 58779 117558 880699 1761398 2642097 5284194 6164893 7926291 12329786 15852582 18494679 23778873 36989358 47557746 55484037 110968074 166452111 273897389 332904222 547794778 821692167 1643384334 1917281723 2465076501 3834563446 4930153002 5751845169 7395229503 11503690338 14790459006 17255535507 34511071014 51766606521 103533213042