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422312240133 = 337191103106621
BaseRepresentation
bin1100010010100111100…
…01010110010000000101
31111101001122222121102000
412021103301112100011
523404343413141013
6522001344535513
742340201545540
oct6112361262005
91441048877360
10422312240133
11153113282683
1269a1b621599
1330a930854b4
14166235c1857
15aeba652973
hex6253c56405

422312240133 has 64 divisors (see below), whose sum is σ = 753348403200. Its totient is φ = 228410746560.

The previous prime is 422312240111. The next prime is 422312240137. The reversal of 422312240133 is 331042213224.

422312240133 is a `hidden beast` number, since 4 + 2 + 231 + 22 + 401 + 3 + 3 = 666.

It is not a de Polignac number, because 422312240133 - 29 = 422312239621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 422312240097 and 422312240106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422312240137) 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, 3907563 + ... + 4014183.

It is an arithmetic number, because the mean of its divisors is an integer number (11771068800).

Almost surely, 2422312240133 is an apocalyptic number.

It is an amenable number.

422312240133 is a deficient number, since it is larger than the sum of its proper divisors (331036163067).

422312240133 is a wasteful number, since it uses less digits than its factorization.

422312240133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107759 (or 107753 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 422312240133 its reverse (331042213224), we get a palindrome (753354453357).

The spelling of 422312240133 in words is "four hundred twenty-two billion, three hundred twelve million, two hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1103 1197 3309 3591 7721 9927 20957 23163 29781 62871 69489 106621 146699 188613 208467 319863 440097 565839 746347 959589 1320291 2025799 2239041 2878767 3960873 6077397 6717123 14180593 18232191 20151369 42541779 54696573 117602963 127625337 352808889 382876011 823220741 1058426667 2234456297 2469662223 3175280001 6703368891 7408986669 15641194079 20110106673 22226960007 46923582237 60330320019 140770746711 422312240133