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402132220343 = 72431791066231
BaseRepresentation
bin1011101101000001111…
…00101011100110110111
31102102222021201101102122
411312200330223212313
523042031322022333
6504423105030155
741024132321600
oct5664074534667
91372867641378
10402132220343
111455a8178077
1265b2932535b
132bbc82ca999
141566b438da7
15a6d8bc7798
hex5da0f2b9b7

402132220343 has 24 divisors (see below), whose sum is σ = 481339774080. Its totient is φ = 334787690160.

The previous prime is 402132220339. The next prime is 402132220351. The reversal of 402132220343 is 343022231204.

It is not a de Polignac number, because 402132220343 - 22 = 402132220339 is a prime.

It is a super-2 number, since 2×4021322203432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402132220043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155963 + ... + 910268.

It is an arithmetic number, because the mean of its divisors is an integer number (20055823920).

Almost surely, 2402132220343 is an apocalyptic number.

402132220343 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

402132220343 is a deficient number, since it is larger than the sum of its proper divisors (79207553737).

402132220343 is a wasteful number, since it uses less digits than its factorization.

402132220343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066467 (or 1066460 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 402132220343 its reverse (343022231204), we get a palindrome (745154451547).

The spelling of 402132220343 in words is "four hundred two billion, one hundred thirty-two million, two hundred twenty thousand, three hundred forty-three".

Divisors: 1 7 43 49 179 301 1253 2107 7697 8771 53879 377153 1066231 7463617 45847933 52245319 190855349 320935531 1335987443 2246548717 8206780007 9351912101 57447460049 402132220343