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42100233319 = 413176195233
BaseRepresentation
bin100111001101010111…
…101001010001100111
311000200001000102222201
4213031113221101213
51142210124431234
631201322035331
73020166036004
oct471527512147
9130601012881
1042100233319
1116944536461
1281ab348b47
133c7c222681
1420754b88ab
151166098314
hex9cd5e9467

42100233319 has 16 divisors (see below), whose sum is σ = 43341288480. Its totient is φ = 40869872640.

The previous prime is 42100233311. The next prime is 42100233323. The reversal of 42100233319 is 91333200124.

It is a cyclic number.

It is not a de Polignac number, because 42100233319 - 23 = 42100233311 is a prime.

It is a super-5 number, since 5×421002333195 (a number of 54 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100233311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8042527 + ... + 8047759.

It is an arithmetic number, because the mean of its divisors is an integer number (2708830530).

Almost surely, 242100233319 is an apocalyptic number.

42100233319 is a deficient number, since it is larger than the sum of its proper divisors (1241055161).

42100233319 is a wasteful number, since it uses less digits than its factorization.

42100233319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 42100233319 in words is "forty-two billion, one hundred million, two hundred thirty-three thousand, three hundred nineteen".

Divisors: 1 41 317 619 5233 12997 25379 196223 214553 1658861 3239227 8045143 68013301 132808307 1026834959 42100233319