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2001045422151 = 34157607259229
BaseRepresentation
bin11101000111100111100…
…110100000000001000111
321002022001021222210120000
4131013213212200001013
5230241120112002101
64131133444012343
7264366525306036
oct35074746400107
97068037883500
102001045422151
11701702a78a36
122839960910b3
1311690c016069
146cbcb66271d
15370b9b82486
hex1d1e79a0047

2001045422151 has 40 divisors (see below), whose sum is σ = 3013223157120. Its totient is φ = 1323344423232.

The previous prime is 2001045422143. The next prime is 2001045422183. The reversal of 2001045422151 is 1512245401002.

It is a happy number.

2001045422151 is a `hidden beast` number, since 2 + 0 + 0 + 104 + 542 + 2 + 15 + 1 = 666.

It is not a de Polignac number, because 2001045422151 - 23 = 2001045422143 is a prime.

It is a super-2 number, since 2×20010454221512 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001045422851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7589605 + ... + 7848833.

It is an arithmetic number, because the mean of its divisors is an integer number (75330578928).

Almost surely, 22001045422151 is an apocalyptic number.

2001045422151 is a deficient number, since it is larger than the sum of its proper divisors (1012177734969).

2001045422151 is a wasteful number, since it uses less digits than its factorization.

2001045422151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260005 (or 259996 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 2001045422151 in words is "two trillion, one billion, forty-five million, four hundred twenty-two thousand, one hundred fifty-one".

Divisors: 1 3 9 27 81 157 471 607 1413 1821 4239 5463 12717 16389 49167 95299 259229 285897 777687 857691 2333061 2573073 6999183 7719219 20997549 40698953 122096859 157352003 366290577 472056009 1098871731 1416168027 3296615193 4248504081 12745512243 24704264471 74112793413 222338380239 667015140717 2001045422151