Search a number
-
+
1022131230984 = 233241346250417
BaseRepresentation
bin11101101111110111100…
…01001101100100001000
310121201022002020110000200
432313323301031210020
5113221311043342414
62101321031332200
7133563236053233
oct16677361154410
93551262213020
101022131230984
11364535484336
12146119821060
13755043776a6
14376857c841a
151b8c4668109
hexedfbc4d908

1022131230984 has 48 divisors (see below), whose sum is σ = 2835790923420. Its totient is φ = 332400399360.

The previous prime is 1022131230977. The next prime is 1022131231031. The reversal of 1022131230984 is 4890321312201.

1022131230984 is a `hidden beast` number, since 1 + 0 + 221 + 312 + 30 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 628814108484 + 393317122500 = 792978^2 + 627150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173122257 + ... + 173128160.

Almost surely, 21022131230984 is an apocalyptic number.

It is an amenable number.

1022131230984 is an abundant number, since it is smaller than the sum of its proper divisors (1813659692436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022131230984 is a wasteful number, since it uses less digits than its factorization.

1022131230984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346250470 (or 346250463 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1022131230984 in words is "one trillion, twenty-two billion, one hundred thirty-one million, two hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 346250417 692500834 1038751251 1385001668 2077502502 2770003336 3116253753 4155005004 6232507506 8310010008 12465015012 14196267097 24930030024 28392534194 42588801291 56785068388 85177602582 113570136776 127766403873 170355205164 255532807746 340710410328 511065615492 1022131230984