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1014222122001 = 321150345074519
BaseRepresentation
bin11101100001001000101…
…10010110110000010001
310120221212212212002011100
432300210112112300101
5113104111330401001
62053532135535013
7133163240536404
oct16604426266021
93527785762140
101014222122001
11361146a46730
12144690b2a469
1374843908c4a
143713521dd3b
151b5b0123586
hexec24596c11

1014222122001 has 48 divisors (see below), whose sum is σ = 1602055203840. Its totient is φ = 613186212960.

The previous prime is 1014222121967. The next prime is 1014222122003. The reversal of 1014222122001 is 1002212224101.

1014222122001 is a `hidden beast` number, since 1 + 0 + 1 + 422 + 21 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 1014222122001 - 230 = 1013148380177 is a prime.

It is a super-2 number, since 2×10142221220012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1014222122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224432820 + ... + 224437338.

It is an arithmetic number, because the mean of its divisors is an integer number (33376150080).

Almost surely, 21014222122001 is an apocalyptic number.

1014222122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014222122001 is a deficient number, since it is larger than the sum of its proper divisors (587833081839).

1014222122001 is a wasteful number, since it uses less digits than its factorization.

1014222122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1014222122001 its reverse (1002212224101), we get a palindrome (2016434346102).

The spelling of 1014222122001 in words is "one trillion, fourteen billion, two hundred twenty-two million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 11 33 99 503 1509 4507 4519 4527 5533 13521 13557 16599 40563 40671 49577 49709 49797 148731 149127 446193 447381 2267021 2273057 6801063 6819171 20367133 20403189 20457513 24937231 25003627 61101399 74811693 75010881 183304197 224038463 224435079 225032643 672115389 2016346167 10244667899 30734003697 92202011091 112691346889 338074040667 1014222122001