Search a number
-
+
331333032122142 = 231753177734490641
BaseRepresentation
bin100101101010110000111101…
…1101011101001011100011110
31121110011010110200202110120120
41023111201323223221130132
5321412030022210402032
63132404143232055410
7126535010261230041
oct11325417353513436
91543133420673516
10331333032122142
1196633605886a66
12311b268a094566
13112b57562539ab
145bb6866380c58
152848aec47362c
hex12d587bae971e

331333032122142 has 64 divisors (see below), whose sum is σ = 715287352256064. Its totient is φ = 101928946728960.

The previous prime is 331333032122093. The next prime is 331333032122143. The reversal of 331333032122142 is 241221230333133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331333032122143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7638859 + ... + 26851782.

It is an arithmetic number, because the mean of its divisors is an integer number (11176364879001).

Almost surely, 2331333032122142 is an apocalyptic number.

331333032122142 is an abundant number, since it is smaller than the sum of its proper divisors (383954320133922).

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

331333032122142 is a wasteful number, since it uses less digits than its factorization.

331333032122142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34492493.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 331333032122142 its reverse (241221230333133), we get a palindrome (572554262455275).

The spelling of 331333032122142 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, thirty-two million, one hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 17 34 51 53 102 106 159 318 901 1777 1802 2703 3554 5331 5406 10662 30209 60418 90627 94181 181254 188362 282543 565086 1601077 3202154 4803231 9606462 34490641 68981282 103471923 206943846 586340897 1172681794 1759022691 1828003973 3518045382 3656007946 5484011919 10968023838 31076067541 61289869057 62152135082 93228202623 122579738114 183869607171 186456405246 367739214342 1041927773969 2083855547938 3125783321907 3248363060021 6251566643814 6496726120042 9745089180063 19490178360126 55222172020357 110444344040714 165666516061071 331333032122142