Search a number
-
+
122311120311310 = 25719334726090423
BaseRepresentation
bin11011110011110111000110…
…111000001101010000001110
3121001001211101021101020222111
4123303313012320031100032
5112012421133244430220
61112044541501534234
734522454403536350
oct3363670670152016
9531054337336874
10122311120311310
1135a76944853817
121187486a87437a
135332b7361cab8
14222bc658cd0d0
15e218d61e915a
hex6f3dc6e0d40e

122311120311310 has 64 divisors (see below), whose sum is σ = 253644005532672. Its totient is φ = 41597733943296.

The previous prime is 122311120311287. The next prime is 122311120311311. The reversal of 122311120311310 is 13113021113221.

It is a super-2 number, since 2×1223111203113102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311120311311) 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, 8357242 + ... + 17733181.

It is an arithmetic number, because the mean of its divisors is an integer number (3963187586448).

Almost surely, 2122311120311310 is an apocalyptic number.

122311120311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122311120311310 is an abundant number, since it is smaller than the sum of its proper divisors (131332885221362).

122311120311310 is a wasteful number, since it uses less digits than its factorization.

122311120311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26090977.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 122311120311310 its reverse (13113021113221), we get a palindrome (135424141424531).

The spelling of 122311120311310 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred twenty million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 193 347 386 694 965 1351 1735 1930 2429 2702 3470 4858 6755 12145 13510 24290 66971 133942 334855 468797 669710 937594 2343985 4687970 26090423 52180846 130452115 182632961 260904230 365265922 913164805 1826329610 5035451639 9053376781 10070903278 18106753562 25177258195 35248161473 45266883905 50354516390 63373637467 70496322946 90533767810 126747274934 176240807365 316868187335 352481614730 633736374670 1747301718733 3494603437466 8736508593665 12231112031131 17473017187330 24462224062262 61155560155655 122311120311310