Search a number
-
+
103320023013 = 3373151359967
BaseRepresentation
bin110000000111001011…
…0100110111111100101
3100212200112211222122000
41200032112212333211
53143044411214023
6115244202355513
710315236463614
oct1401626467745
9325615758560
10103320023013
113a8aa506579
12180357bbb99
1399875b27bc
145001d6d87b
152a4a945243
hex180e5a6fe5

103320023013 has 64 divisors (see below), whose sum is σ = 156788121600. Its totient is φ = 67228963200.

The previous prime is 103320023011. The next prime is 103320023071. The reversal of 103320023013 is 310320023301.

103320023013 is a `hidden beast` number, since 103 + 320 + 0 + 230 + 13 = 666.

It is not a de Polignac number, because 103320023013 - 21 = 103320023011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320023011) 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, 106845456 + ... + 106846422.

It is an arithmetic number, because the mean of its divisors is an integer number (2449814400).

Almost surely, 2103320023013 is an apocalyptic number.

It is an amenable number.

103320023013 is a deficient number, since it is larger than the sum of its proper divisors (53468098587).

103320023013 is a wasteful number, since it uses less digits than its factorization.

103320023013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103320023013 its reverse (310320023301), we get a palindrome (413640046314).

The spelling of 103320023013 in words is "one hundred three billion, three hundred twenty million, twenty-three thousand, thirteen".

Divisors: 1 3 9 27 73 151 219 359 453 657 967 1077 1359 1971 2901 3231 4077 8703 9693 11023 26109 26207 33069 54209 70591 78621 99207 146017 162627 211773 235863 297621 347153 438051 487881 635319 707589 1041459 1314153 1463643 1905957 3124377 3942459 3957257 9373131 10659241 11871771 25342169 31977723 35615313 52420103 76026507 95933169 106845939 157260309 228079521 287799507 471780927 684238563 1415342781 3826667519 11480002557 34440007671 103320023013