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21133214420 = 22517477571747
BaseRepresentation
bin10011101011101000…
…110100001011010100
32000112210212112012012
4103223220310023110
5321240100330140
613413010043352
71345462234013
oct235350641324
960483775165
1021133214420
118a6516a86a
124119579558
131cba3b7706
1410469cca7a
1583a4b3265
hex4eba342d4

21133214420 has 96 divisors (see below), whose sum is σ = 48081019392. Its totient is φ = 7772018688.

The previous prime is 21133214353. The next prime is 21133214449. The reversal of 21133214420 is 2441233112.

It is a super-2 number, since 2×211332144202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12095987 + ... + 12097733.

It is an arithmetic number, because the mean of its divisors is an integer number (500843952).

Almost surely, 221133214420 is an apocalyptic number.

21133214420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040509696).

21133214420 is an abundant number, since it is smaller than the sum of its proper divisors (26947804972).

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

21133214420 is a wasteful number, since it uses less digits than its factorization.

21133214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21133214420 its reverse (2441233112), we get a palindrome (23574447532).

The spelling of 21133214420 in words is "twenty-one billion, one hundred thirty-three million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 757 799 940 1514 1598 1747 3028 3196 3494 3785 3995 6988 7570 7990 8735 12869 15140 15980 17470 25738 29699 34940 35579 51476 59398 64345 71158 82109 118796 128690 142316 148495 164218 177895 257380 296990 328436 355790 410545 593980 604843 711580 821090 1209686 1322479 1395853 1642180 2419372 2644958 2791706 3024215 5289916 5583412 6048430 6612395 6979265 12096860 13224790 13958530 22482143 26449580 27917060 44964286 62156513 89928572 112410715 124313026 224821430 248626052 310782565 449642860 621565130 1056660721 1243130260 2113321442 4226642884 5283303605 10566607210 21133214420