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21131331072 = 29337438647
BaseRepresentation
bin10011101011100001…
…101000011000000000
32000112200022211201120
4103223201220120000
5321234110043242
613412501432240
71345440231135
oct235341503000
960480284646
1021131331072
118a640a3885
124118a0b680
131cb9ba83c7
14104665c58c
1583a2401ec
hex4eb868600

21131331072 has 160 divisors (see below), whose sum is σ = 59168093952. Its totient is φ = 6693249024.

The previous prime is 21131330963. The next prime is 21131331073. The reversal of 21131331072 is 27013313112.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439453 + ... + 2448099.

Almost surely, 221131331072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29584046976).

21131331072 is an abundant number, since it is smaller than the sum of its proper divisors (38036762880).

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

21131331072 is an equidigital number, since it uses as much as digits as its factorization.

21131331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 21131331072 its reverse (27013313112), we get a palindrome (48144644184).

The spelling of 21131331072 in words is "twenty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 128 129 148 172 192 222 256 258 296 344 384 444 512 516 592 688 768 888 1032 1184 1376 1536 1591 1776 2064 2368 2752 3182 3552 4128 4736 4773 5504 6364 7104 8256 8647 9472 9546 11008 12728 14208 16512 17294 18944 19092 22016 25456 25941 28416 33024 34588 38184 50912 51882 56832 66048 69176 76368 101824 103764 138352 152736 203648 207528 276704 305472 319939 371821 407296 415056 553408 610944 639878 743642 814592 830112 959817 1106816 1115463 1221888 1279756 1487284 1660224 1919634 2213632 2230926 2443776 2559512 2974568 3320448 3839268 4427264 4461852 5119024 5949136 6640896 7678536 8923704 10238048 11898272 13281792 13757377 15357072 17847408 20476096 23796544 27514754 30714144 35694816 40952192 41272131 47593088 55029508 61428288 71389632 81904384 82544262 95186176 110059016 122856576 142779264 163808768 165088524 190372352 220118032 245713152 285558528 330177048 440236064 491426304 571117056 660354096 880472128 1320708192 1760944256 2641416384 3521888512 5282832768 7043777024 10565665536 21131331072