Search a number
-
+
123312102102 = 232710123940543
BaseRepresentation
bin111001011010111111…
…0010101101011010110
3102210021211110211102200
41302311332111223112
54010020344231402
6132352050145330
711623534400520
oct1626576255326
9383254424380
10123312102102
1148329515492
121ba94b82246
13b822445cb7
145d7b192a10
15331ab4921c
hex1cb5f95ad6

123312102102 has 96 divisors (see below), whose sum is σ = 309665341440. Its totient is φ = 34736385600.

The previous prime is 123312102061. The next prime is 123312102119. The reversal of 123312102102 is 201201213321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3021243 + ... + 3061785.

It is an arithmetic number, because the mean of its divisors is an integer number (3225680640).

Almost surely, 2123312102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123312102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154832670720).

123312102102 is an abundant number, since it is smaller than the sum of its proper divisors (186353239338).

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

123312102102 is a wasteful number, since it uses less digits than its factorization.

123312102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40898 (or 40895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123312102102 its reverse (201201213321), we get a palindrome (324513315423).

The spelling of 123312102102 in words is "one hundred twenty-three billion, three hundred twelve million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 239 303 478 606 707 717 909 1414 1434 1673 1818 2121 2151 3346 4242 4302 5019 6363 10038 12726 15057 24139 30114 40543 48278 72417 81086 121629 144834 168973 217251 243258 283801 337946 364887 434502 506919 567602 729774 851403 1013838 1520757 1702806 2554209 3041514 4094843 5108418 8189686 9689777 12284529 19379554 24569058 28663901 29069331 36853587 57327802 58138662 67828439 73707174 85991703 87207993 135656878 171983406 174415986 203485317 257975109 406970634 515950218 610455951 978667477 1220911902 1957334954 2936002431 5872004862 6850672339 8808007293 13701344678 17616014586 20552017017 41104034034 61656051051 123312102102