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22131310214420 = 22511831212010417
BaseRepresentation
bin1010000100000110110001…
…11000100011110100010100
32220100201210001122101112122
411002003120320203310110
510400044410403330140
6115022552240435112
74442635332646301
oct502033070436424
986321701571478
1022131310214420
117062921721490
122595243018a98
13c46c86cc2c24
145672381d60a8
15285a45c33ab5
hex1420d8e23d14

22131310214420 has 48 divisors (see below), whose sum is σ = 51311673056448. Its totient is φ = 7950788328960.

The previous prime is 22131310214417. The next prime is 22131310214441. The reversal of 22131310214420 is 2441201313122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22131310214420.

It is a congruent number.

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, 605986949 + ... + 606023468.

It is an arithmetic number, because the mean of its divisors is an integer number (1068993188676).

Almost surely, 222131310214420 is an apocalyptic number.

22131310214420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131310214420 is an abundant number, since it is smaller than the sum of its proper divisors (29180362842028).

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

22131310214420 is a wasteful number, since it uses less digits than its factorization.

22131310214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212010520 (or 1212010518 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 22131310214420 its reverse (2441201313122), we get a palindrome (24572511527542).

The spelling of 22131310214420 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred ten million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 18260 1212010417 2424020834 4848041668 6060052085 12120104170 13332114587 24240208340 26664229174 53328458348 66660572935 100596864611 133321145870 201193729222 266642291740 402387458444 502984323055 1005968646110 1106565510721 2011937292220 2213131021442 4426262042884 5532827553605 11065655107210 22131310214420