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21131331078 = 23111329719531
BaseRepresentation
bin10011101011100001…
…101000011000000110
32000112200022211201210
4103223201220120012
5321234110043303
613412501432250
71345440231144
oct235341503006
960480284653
1021131331078
118a640a3890
124118a0b686
131cb9ba8400
14104665c594
1583a240203
hex4eb868606

21131331078 has 96 divisors (see below), whose sum is σ = 50441311872. Its totient is φ = 5849625600.

The previous prime is 21131331077. The next prime is 21131331113. The reversal of 21131331078 is 87013313112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131331073) 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, 1072173 + ... + 1091703.

It is an arithmetic number, because the mean of its divisors is an integer number (525430332).

Almost surely, 221131331078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131331078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220655936).

21131331078 is an abundant number, since it is smaller than the sum of its proper divisors (29309980794).

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

21131331078 is a wasteful number, since it uses less digits than its factorization.

21131331078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19670 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 21131331078 in words is "twenty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, seventy-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 143 169 194 286 291 338 429 507 582 858 1014 1067 1261 1859 2134 2522 3201 3718 3783 5577 6402 7566 11154 13871 16393 19531 27742 32786 39062 41613 49179 58593 83226 98358 117186 180323 214841 253903 360646 429682 507806 540969 644523 761709 1081938 1289046 1523418 1894507 2792933 3300739 3789014 5585866 5683521 6601478 8378799 9902217 11367042 16757598 19804434 20839577 24628591 36308129 41679154 49257182 62518731 72616258 73885773 108924387 125037462 147771546 217848774 270914501 320171683 541829002 640343366 812743503 960515049 1625487006 1921030098 3521888513 7043777026 10565665539 21131331078