Search a number
-
+
42011022000213 = 3272712460670181
BaseRepresentation
bin10011000110101011101000…
…00010110000000001010101
312111202012210100121111010200
421203111310002300001111
521001302033113001323
6225203332545011113
711564124201024150
oct1143256402600125
9174665710544120
1042011022000213
111242785776a842
124866026323a99
131a5981248a146
14a534b6b24c97
154ccc0a682443
hex2635740b0055

42011022000213 has 24 divisors (see below), whose sum is σ = 69607438108416. Its totient is φ = 23917714149600.

The previous prime is 42011022000149. The next prime is 42011022000253. The reversal of 42011022000213 is 31200022011024.

It is a happy number.

42011022000213 is a `hidden beast` number, since 420 + 1 + 1 + 0 + 220 + 0 + 0 + 21 + 3 = 666.

It is not a de Polignac number, because 42011022000213 - 26 = 42011022000149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42011022000253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230318018 + ... + 1230352163.

It is an arithmetic number, because the mean of its divisors is an integer number (2900309921184).

Almost surely, 242011022000213 is an apocalyptic number.

It is an amenable number.

42011022000213 is a deficient number, since it is larger than the sum of its proper divisors (27596416108203).

42011022000213 is a wasteful number, since it uses less digits than its factorization.

42011022000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460670465 (or 2460670462 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42011022000213 its reverse (31200022011024), we get a palindrome (73211044011237).

The spelling of 42011022000213 in words is "forty-two trillion, eleven billion, twenty-two million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 271 813 1897 2439 5691 17073 2460670181 7382010543 17224691267 22146031629 51674073801 155022221403 666841619051 2000524857153 4667891333357 6001574571459 14003674000071 42011022000213