Search a number
-
+
122300442202440 = 23351019170351687
BaseRepresentation
bin11011110011101101001010…
…011010011101000101001000
3121001000210211002122010100210
4123303231022122131011020
5112012232301200434230
61112040014133001120
734521625653236535
oct3363551232350510
9531023732563323
10122300442202440
1135a72365291557
121187278a7831a0
135331b612b9398
14222b53168dd8c
15e214ada3eeb0
hex6f3b4a69d148

122300442202440 has 32 divisors (see below), whose sum is σ = 366901326607680. Its totient is φ = 32613451253952.

The previous prime is 122300442202417. The next prime is 122300442202487. The reversal of 122300442202440 is 44202244003221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122300442202398 and 122300442202407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509585175724 + ... + 509585175963.

It is an arithmetic number, because the mean of its divisors is an integer number (11465666456490).

Almost surely, 2122300442202440 is an apocalyptic number.

122300442202440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122300442202440 is an abundant number, since it is smaller than the sum of its proper divisors (244600884405240).

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

122300442202440 is a wasteful number, since it uses less digits than its factorization.

122300442202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019170351701 (or 1019170351697 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 122300442202440 its reverse (44202244003221), we get a palindrome (166502686205661).

The spelling of 122300442202440 in words is "one hundred twenty-two trillion, three hundred billion, four hundred forty-two million, two hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1019170351687 2038340703374 3057511055061 4076681406748 5095851758435 6115022110122 8153362813496 10191703516870 12230044220244 15287555275305 20383407033740 24460088440488 30575110550610 40766814067480 61150221101220 122300442202440