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123401313224 = 23723223742829
BaseRepresentation
bin111001011101101001…
…0101001101111001000
3102210112001100020002022
41302323102221233020
54010211214010344
6132404554224012
711625666566330
oct1627322515710
9383461306068
10123401313224
1148374908092
121babaa25008
13b837a7cb47
145d88d760c0
1533238bc0ee
hex1cbb4a9bc8

123401313224 has 64 divisors (see below), whose sum is σ = 276058195200. Its totient is φ = 50563079424.

The previous prime is 123401313193. The next prime is 123401313229. The reversal of 123401313224 is 422313104321.

It is a junction number, because it is equal to n+sod(n) for n = 123401313193 and 123401313202.

It is not an unprimeable number, because it can be changed into a prime (123401313229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859842 + ... + 2902670.

It is an arithmetic number, because the mean of its divisors is an integer number (4313409300).

Almost surely, 2123401313224 is an apocalyptic number.

123401313224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123401313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138029097600).

123401313224 is an abundant number, since it is smaller than the sum of its proper divisors (152656881976).

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

123401313224 is a wasteful number, since it uses less digits than its factorization.

123401313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45102 (or 45098 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 123401313224 its reverse (422313104321), we get a palindrome (545714417545).

The spelling of 123401313224 in words is "one hundred twenty-three billion, four hundred one million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 2237 4474 8948 15659 17896 31318 42829 51451 62636 85658 102902 125272 171316 205804 299803 342632 360157 411608 599606 720314 985067 1199212 1440628 1970134 2398424 2881256 3940268 6895469 7880536 13790938 27581876 55163752 95808473 191616946 383233892 670659311 766467784 1341318622 2203594879 2682637244 4407189758 5365274488 8814379516 15425164153 17628759032 30850328306 61700656612 123401313224