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2214142432131 = 372943910917591
BaseRepresentation
bin100000001110000101001…
…011000101001110000011
321211200002101121112012010
4200032011023011032003
5242234030430312011
64413055112304003
7315652341100440
oct40160513051603
97750071545163
102214142432131
11784015753623
122b91479a2003
13130a3c841786
1479244d229c7
153c8dcd1c1a6
hex203852c5383

2214142432131 has 64 divisors (see below), whose sum is σ = 3501891993600. Its totient is φ = 1217535580800.

The previous prime is 2214142432121. The next prime is 2214142432157. The reversal of 2214142432131 is 1312342414122.

It is a happy number.

It is not a de Polignac number, because 2214142432131 - 222 = 2214138237827 is a prime.

It is a super-2 number, since 2×22141424321312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2214142432111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291676146 + ... + 291683736.

It is an arithmetic number, because the mean of its divisors is an integer number (54717062400).

Almost surely, 22214142432131 is an apocalyptic number.

2214142432131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2214142432131 is a deficient number, since it is larger than the sum of its proper divisors (1287749561469).

2214142432131 is a wasteful number, since it uses less digits than its factorization.

2214142432131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160.

The product of its digits is 9216, while the sum is 30.

Adding to 2214142432131 its reverse (1312342414122), we get a palindrome (3526484846253).

The spelling of 2214142432131 in words is "two trillion, two hundred fourteen billion, one hundred forty-two million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 439 609 1091 1317 3073 3273 7591 7637 9219 12731 22773 22911 31639 38193 53137 89117 94917 159411 220139 221473 267351 478949 660417 664419 1436847 1540973 3332449 3352643 4622919 8281781 9997347 10057929 13889521 23327143 24845343 41668563 57972467 69981429 96641021 97226647 173917401 240171649 289923063 291679941 676487147 720514947 1681201543 2029461441 3635701859 5043604629 10907105577 25449913013 76349739039 105435353911 316306061733 738047477377 2214142432131