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21036134600 = 23521353152657
BaseRepresentation
bin10011100101110110…
…011111000011001000
32000022001012100201022
4103211312133003020
5321040222301400
613355221212012
71343203123325
oct234566370310
960261170638
1021036134600
118a15393308
1240b0b61008
131ca3257130
141037b5bb4c
15831bd8b85
hex4e5d9f0c8

21036134600 has 96 divisors (see below), whose sum is σ = 53665393320. Its totient is φ = 7620587520.

The previous prime is 21036134569. The next prime is 21036134633. The reversal of 21036134600 is 643163012.

It can be written as a sum of positive squares in 12 ways, for example, as 397364356 + 20638770244 = 19934^2 + 143662^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 21036134600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61472 + ... + 214128.

Almost surely, 221036134600 is an apocalyptic number.

21036134600 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 21036134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26832696660).

21036134600 is an abundant number, since it is smaller than the sum of its proper divisors (32629258720).

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

21036134600 is a wasteful number, since it uses less digits than its factorization.

21036134600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152739 (or 152730 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 21036134600 its reverse (643163012), we get a palindrome (21679297612).

The spelling of 21036134600 in words is "twenty-one billion, thirty-six million, one hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 10600 13780 17225 27560 34450 68900 137800 152657 305314 610628 763285 1221256 1526570 1984541 3053140 3816425 3969082 6106280 7632850 7938164 8090821 9922705 15265700 15876328 16181642 19845410 30531400 32363284 39690820 40454105 49613525 64726568 79381640 80908210 99227050 105180673 161816420 198454100 202270525 210361346 323632840 396908200 404541050 420722692 525903365 809082100 841445384 1051806730 1618164200 2103613460 2629516825 4207226920 5259033650 10518067300 21036134600