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21133122324 = 22319292307359
BaseRepresentation
bin10011101011101000…
…011101101100010100
32000112210200211212020
4103223220131230110
5321240034403244
613413004053140
71345461401346
oct235350355424
960483624766
1021133122324
118a65107656
1241195341b0
131cba384812
1410469a7296
1583a495d19
hex4eba1db14

21133122324 has 144 divisors (see below), whose sum is σ = 54082828800. Its totient is φ = 6404614272.

The previous prime is 21133122319. The next prime is 21133122337. The reversal of 21133122324 is 42322133112.

It is a super-2 number, since 2×211331223242 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21133122294 and 21133122303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58866457 + ... + 58866815.

It is an arithmetic number, because the mean of its divisors is an integer number (375575200).

Almost surely, 221133122324 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 21133122324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27041414400).

21133122324 is an abundant number, since it is smaller than the sum of its proper divisors (32949706476).

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

21133122324 is a wasteful number, since it uses less digits than its factorization.

21133122324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 719 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 21133122324 its reverse (42322133112), we get a palindrome (63455255436).

The spelling of 21133122324 in words is "twenty-one billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 307 348 359 551 614 718 841 921 1077 1102 1228 1436 1653 1682 1842 2154 2204 2523 3306 3364 3684 4308 5046 5833 6612 6821 8903 10092 10411 11666 13642 15979 17499 17806 20463 20822 23332 26709 27284 31233 31958 34998 35612 40926 41644 47937 53418 62466 63916 69996 81852 95874 106836 110213 124932 169157 191748 197809 220426 258187 301919 330639 338314 395618 440852 507471 516374 593427 603838 661278 676628 774561 791236 905757 1014942 1032748 1186854 1207676 1322556 1549122 1811514 2029884 2094047 2373708 3098244 3196177 3623028 4188094 4905553 5736461 6282141 6392354 8376188 9588531 9811106 11472922 12564282 12784708 14716659 17209383 19177062 19622212 22945844 25128564 29433318 34418766 38354124 58866636 60727363 68837532 92689133 121454726 182182089 185378266 242909452 278067399 364364178 370756532 556134798 728728356 1112269596 1761093527 3522187054 5283280581 7044374108 10566561162 21133122324