Search a number
-
+
1022156481807 = 321710711623729
BaseRepresentation
bin11101101111111010100…
…01100010010100001111
310121201100211202022122100
432313331101202110033
5113221334024404212
62101323332450143
7133563663511626
oct16677521422417
93551324668570
101022156481807
1136454876068a
12146126179953
1375509678ac6
1437688cbc6bd
151b8c69a4bdc
hexedfd46250f

1022156481807 has 24 divisors (see below), whose sum is σ = 1563446607840. Its totient is φ = 641292180480.

The previous prime is 1022156481791. The next prime is 1022156481809. The reversal of 1022156481807 is 7081846512201.

1022156481807 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 564 + 8 + 1 + 80 + 7 = 666.

It is not a de Polignac number, because 1022156481807 - 24 = 1022156481791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022156481809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326919 + ... + 1950647.

It is an arithmetic number, because the mean of its divisors is an integer number (65143608660).

Almost surely, 21022156481807 is an apocalyptic number.

1022156481807 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1022156481807 is a deficient number, since it is larger than the sum of its proper divisors (541290126033).

1022156481807 is a wasteful number, since it uses less digits than its factorization.

1022156481807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634463 (or 634460 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1022156481807 in words is "one trillion, twenty-two billion, one hundred fifty-six million, four hundred eighty-one thousand, eight hundred seven".

Divisors: 1 3 9 17 51 153 10711 32133 96399 182087 546261 623729 1638783 1871187 5613561 10603393 31810179 95430537 6680761319 20042283957 60126851871 113572942423 340718827269 1022156481807