Search a number
-
+
103103212313322 = 23413291688168653
BaseRepresentation
bin10111011100010110010110…
…010110000101101011101010
3111112001120102010202120110000
4113130112112112011223222
5102003220334323011242
61003140543432203430
730500650500450654
oct2734262626055352
9445046363676400
10103103212313322
112a940910501551
12b692115239576
13456b78bb458a0
141b6631763b6d4
15bdbe4027ea4c
hex5dc596585aea

103103212313322 has 80 divisors (see below), whose sum is σ = 257378192988840. Its totient is φ = 30630132021888.

The previous prime is 103103212313291. The next prime is 103103212313329. The reversal of 103103212313322 is 223313212301301.

103103212313322 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 0 + 3 + 21 + 2 + 313 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88562573171361 + 14540639141961 = 9410769^2 + 3813219^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103103212313329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 844023253 + ... + 844145400.

Almost surely, 2103103212313322 is an apocalyptic number.

103103212313322 is an abundant number, since it is smaller than the sum of its proper divisors (154274980675518).

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

103103212313322 is a wasteful number, since it uses less digits than its factorization.

103103212313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688168709 (or 1688168700 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103103212313322 its reverse (223313212301301), we get a palindrome (326416424614623).

The spelling of 103103212313322 in words is "one hundred three trillion, one hundred three billion, two hundred twelve million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 522 702 754 783 1053 1131 1566 2106 2262 2349 3393 4698 6786 10179 20358 30537 61074 1688168653 3376337306 5064505959 10129011918 15193517877 21946192489 30387035754 43892384978 45580553631 48956890937 65838577467 91161107262 97913781874 131677154934 136741660893 146870672811 197515732401 273483321786 293741345622 395031464802 440612018433 592547197203 636439582181 881224036866 1185094394406 1272879164362 1321836055299 1777641591609 1909318746543 2643672110598 3555283183218 3818637493086 3965508165897 5727956239629 7931016331794 11455912479258 17183868718887 34367737437774 51551606156661 103103212313322