Search a number
-
+
123304214413000 = 23531229100328897
BaseRepresentation
bin11100000010010011111111…
…111001100011111011001000
3121011120202201201010200221001
4130002103333321203323020
5112130204012342204000
61114125101335024344
734654302244244155
oct3402237771437310
9534522651120831
10123304214413000
113631a029558035
12119b5223b0b0b4
1353a56cac3c57a
142263d54ab322c
15e3c65b53346a
hex7024ffe63ec8

123304214413000 has 64 divisors (see below), whose sum is σ = 288766634223600. Its totient is φ = 49281553715200.

The previous prime is 123304214412959. The next prime is 123304214413013. The reversal of 123304214413000 is 314412403321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26458657864804 + 96845556548196 = 5143798^2 + 9841014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123304214413000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48935449 + ... + 51393448.

Almost surely, 2123304214413000 is an apocalyptic number.

123304214413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123304214413000 is an abundant number, since it is smaller than the sum of its proper divisors (165462419810600).

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

123304214413000 is a wasteful number, since it uses less digits than its factorization.

123304214413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100330147 (or 100330133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 123304214413000 its reverse (314412403321), we get a palindrome (123618626816321).

The spelling of 123304214413000 in words is "one hundred twenty-three trillion, three hundred four billion, two hundred fourteen million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1229 2458 4916 6145 9832 12290 24580 30725 49160 61450 122900 153625 245800 307250 614500 1229000 100328897 200657794 401315588 501644485 802631176 1003288970 2006577940 2508222425 4013155880 5016444850 10032889700 12541112125 20065779400 25082224250 50164448500 100328897000 123304214413 246608428826 493216857652 616521072065 986433715304 1233042144130 2466084288260 3082605360325 4932168576520 6165210720650 12330421441300 15413026801625 24660842882600 30826053603250 61652107206500 123304214413000