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1004011122231 = 3213163193272777
BaseRepresentation
bin11101001110000111011…
…10011110111000110111
310112222112021001112202200
432213003232132320313
5112422203321402411
62045123014435543
7132352221504645
oct16470356367067
93488467045680
101004011122231
11357887116447
12142701362bb3
13738a72b2850
1436847054195
151b1b3986e56
hexe9c3b9ee37

1004011122231 has 48 divisors (see below), whose sum is σ = 1579524282336. Its totient is φ = 610878578688.

The previous prime is 1004011122223. The next prime is 1004011122239. The reversal of 1004011122231 is 1322211104001.

1004011122231 is a `hidden beast` number, since 1 + 0 + 0 + 401 + 11 + 22 + 231 = 666.

It is an interprime number because it is at equal distance from previous prime (1004011122223) and next prime (1004011122239).

It is not a de Polignac number, because 1004011122231 - 23 = 1004011122223 is a prime.

It is a super-2 number, since 2×10040111222312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004011122239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3544315 + ... + 3817091.

It is an arithmetic number, because the mean of its divisors is an integer number (32906755882).

Almost surely, 21004011122231 is an apocalyptic number.

1004011122231 is a deficient number, since it is larger than the sum of its proper divisors (575513160105).

1004011122231 is a wasteful number, since it uses less digits than its factorization.

1004011122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273152 (or 273149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1004011122231 its reverse (1322211104001), we get a palindrome (2326222226232).

The spelling of 1004011122231 in words is "one trillion, four billion, eleven million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 117 163 193 489 579 1467 1737 2119 2509 6357 7527 19071 22581 31459 94377 272777 283131 408967 818331 1226901 2454993 3546101 3680703 10638303 31914909 44462651 52645961 133387953 157937883 400163859 473813649 578014463 684397493 1734043389 2053192479 5202130167 6159577437 8581291643 25743874929 77231624787 111556791359 334670374077 1004011122231