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21150541300 = 22527210142737
BaseRepresentation
bin10011101100101010…
…111010010111110100
32000121000110211012111
4103230222322113310
5321304014310200
613414425300404
71346062430500
oct235452722764
960530424174
1021150541300
118a73a247a9
124123334704
131cc0b731c5
14104901d300
1583bc870ba
hex4ecaba5f4

21150541300 has 108 divisors (see below), whose sum is σ = 53919884844. Its totient is φ = 7179648000.

The previous prime is 21150541297. The next prime is 21150541303. The reversal of 21150541300 is 314505112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21150541297) and next prime (21150541303).

It can be written as a sum of positive squares in 6 ways, for example, as 1499548176 + 19650993124 = 38724^2 + 140182^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21150541303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473532 + ... + 516268.

It is an arithmetic number, because the mean of its divisors is an integer number (499258193).

Almost surely, 221150541300 is an apocalyptic number.

21150541300 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 21150541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26959942422).

21150541300 is an abundant number, since it is smaller than the sum of its proper divisors (32769343544).

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

21150541300 is a wasteful number, since it uses less digits than its factorization.

21150541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42866 (or 42852 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 21150541300 in words is "twenty-one billion, one hundred fifty million, five hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 101 140 175 196 202 245 350 404 490 505 700 707 980 1010 1225 1414 2020 2450 2525 2828 3535 4900 4949 5050 7070 9898 10100 14140 17675 19796 24745 35350 42737 49490 70700 85474 98980 123725 170948 213685 247450 299159 427370 494900 598318 854740 1068425 1196636 1495795 2094113 2136850 2991590 4188226 4273700 4316437 5983180 7478975 8376452 8632874 10470565 14957950 17265748 20941130 21582185 29915900 30215059 41882260 43164370 52352825 60430118 86328740 104705650 107910925 120860236 151075295 209411300 211505413 215821850 302150590 423010826 431643700 604301180 755376475 846021652 1057527065 1510752950 2115054130 3021505900 4230108260 5287635325 10575270650 21150541300