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2131222401 = 337111025119
BaseRepresentation
bin111111100000111…
…1101111110000001
312111112021022112000
41333001331332001
513331043104101
6551251254213
7103546043250
oct17701757601
95445238460
102131222401
119a4023a30
124b58aa369
1327c700359
14163096797
15c7183486
hex7f07df81

2131222401 has 32 divisors (see below), whose sum is σ = 3936460800. Its totient is φ = 1107127440.

The previous prime is 2131222361. The next prime is 2131222411. The reversal of 2131222401 is 1042221312.

It is a happy number.

It is not a de Polignac number, because 2131222401 - 29 = 2131221889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2131222411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510481 + ... + 514638.

It is an arithmetic number, because the mean of its divisors is an integer number (123014400).

Almost surely, 22131222401 is an apocalyptic number.

2131222401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2131222401 is a deficient number, since it is larger than the sum of its proper divisors (1805238399).

2131222401 is a wasteful number, since it uses less digits than its factorization.

2131222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025146 (or 1025140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2131222401 is about 46165.1643666520. The cubic root of 2131222401 is about 1286.8944387749.

Adding to 2131222401 its reverse (1042221312), we get a palindrome (3173443713).

The spelling of 2131222401 in words is "two billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 1025119 3075357 7175833 9226071 11276309 21527499 27678213 33828927 64582497 78934163 101486781 193747491 236802489 304460343 710407467 2131222401