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21131070740 = 22513372817817
BaseRepresentation
bin10011101011100000…
…101000110100010100
32000112122211121121122
4103223200220310110
5321234023230430
613412452103112
71345435065143
oct235340506424
960478747548
1021131070740
118a63a3622a
124118904a98
131cb9b16a70
1410465d175a
1583a1dcee5
hex4eb828d14

21131070740 has 96 divisors (see below), whose sum is σ = 49261280544. Its totient is φ = 7563386880.

The previous prime is 21131070713. The next prime is 21131070767. The reversal of 21131070740 is 4707013112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21131070713) and next prime (21131070767).

It can be written as a sum of positive squares in 16 ways, for example, as 8984385796 + 12146684944 = 94786^2 + 110212^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2699312 + ... + 2707128.

It is an arithmetic number, because the mean of its divisors is an integer number (513138339).

Almost surely, 221131070740 is an apocalyptic number.

21131070740 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 21131070740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630640272).

21131070740 is an abundant number, since it is smaller than the sum of its proper divisors (28130209804).

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

21131070740 is a wasteful number, since it uses less digits than its factorization.

21131070740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

Adding to 21131070740 its reverse (4707013112), we get a palindrome (25838083852).

The spelling of 21131070740 in words is "twenty-one billion, one hundred thirty-one million, seventy thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 281 370 481 562 740 962 1124 1405 1924 2405 2810 3653 4810 5620 7306 7817 9620 10397 14612 15634 18265 20794 31268 36530 39085 41588 51985 73060 78170 101621 103970 135161 156340 203242 207940 270322 289229 406484 508105 540644 578458 675805 1016210 1156916 1351610 1446145 2032420 2196577 2703220 2892290 3759977 4393154 5784580 7519954 8786308 10982885 15039908 18799885 21965770 28555501 37599770 43931540 57111002 75199540 81273349 114222004 142777505 162546698 285555010 325093396 406366745 571110020 812733490 1056553537 1625466980 2113107074 4226214148 5282767685 10565535370 21131070740