Search a number
-
+
998102900601 = 32232144792
BaseRepresentation
bin11101000011000111001…
…00011001111101111001
310112102021111200210100100
432201203210121331321
5112323103320304401
62042304441030013
7132052630450002
oct16414344317571
93472244623310
10998102900601
11355325081054
12141532785309
137317523c311
14364464d61a9
151ae69e2cb86
hexe863919f79

998102900601 has 27 divisors (see below), whose sum is σ = 1507216416069. Its totient is φ = 636427456632.

The previous prime is 998102900567. The next prime is 998102900603. The reversal of 998102900601 is 106009201899.

The square root of 998102900601 is 999051.

It is a perfect power (a square), and thus also a powerful number.

998102900601 is a `hidden beast` number, since 9 + 9 + 8 + 10 + 29 + 0 + 0 + 601 = 666.

It is not a de Polignac number, because 998102900601 - 217 = 998102769529 is a prime.

It is a super-2 number, since 2×9981029006012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (998102900603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68927280 + ... + 68941758.

Almost surely, 2998102900601 is an apocalyptic number.

998102900601 is the 999051-st square number.

998102900601 is the 499526-th centered octagonal number.

It is an amenable number.

998102900601 is a deficient number, since it is larger than the sum of its proper divisors (509113515468).

998102900601 is an frugal number, since it uses more digits than its factorization.

998102900601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29010 (or 14505 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 998102900601 in words is "nine hundred ninety-eight billion, one hundred two million, nine hundred thousand, six hundred one".

Divisors: 1 3 9 23 69 207 529 1587 4761 14479 43437 130311 333017 999051 2997153 7659391 22978173 68934519 209641441 628924323 1886772969 4821753143 14465259429 43395778287 110900322289 332700966867 998102900601