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42213122131191 = 3116741945566399
BaseRepresentation
bin10011001100100100000100…
…01001100100010011110111
312112110112110001122212201220
421212102002021210103313
521013104433231144231
6225440235100121423
711614540342552044
oct1146220211442367
9175415401585656
1042213122131191
11124a5536a49480
124899229236273
131a728ac91196b
14a5d1a9ac81cb
154d30d8197896
hex2664822644f7

42213122131191 has 32 divisors (see below), whose sum is σ = 62466066432000. Its totient is φ = 25141715760480.

The previous prime is 42213122131163. The next prime is 42213122131217. The reversal of 42213122131191 is 19113122131224.

It is not a de Polignac number, because 42213122131191 - 29 = 42213122130679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213122131091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21856791 + ... + 23709608.

It is an arithmetic number, because the mean of its divisors is an integer number (1952064576000).

Almost surely, 242213122131191 is an apocalyptic number.

42213122131191 is a deficient number, since it is larger than the sum of its proper divisors (20252944300809).

42213122131191 is a wasteful number, since it uses less digits than its factorization.

42213122131191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45566899.

The product of its digits is 5184, while the sum is 33.

Adding to 42213122131191 its sum of digits (33), we get a palindrome (42213122131224).

The spelling of 42213122131191 in words is "forty-two trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred ninety-one".

Divisors: 1 3 11 33 67 201 419 737 1257 2211 4609 13827 28073 84219 308803 926409 45566399 136699197 501230389 1503691167 3052948733 9158846199 19092321181 33582436063 57276963543 100747308189 210015532991 630046598973 1279185519127 3837556557381 14071040710397 42213122131191