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10213240000 = 2654311821
BaseRepresentation
bin10011000001100000…
…11010110011000000
3222100210000100102011
421200300122303000
5131404042140000
64405241102304
7511044051625
oct114060326300
928323010364
1010213240000
114371120417
121b90487994
13c69c2bca2
146cc5d034c
153eb9802ba
hex260c1acc0

10213240000 has 140 divisors (see below), whose sum is σ = 25437894768. Its totient is φ = 4067200000.

The previous prime is 10213239997. The next prime is 10213240003. The reversal of 10213240000 is 4231201.

It is an interprime number because it is at equal distance from previous prime (10213239997) and next prime (10213240003).

It is not an unprimeable number, because it can be changed into a prime (10213240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12439590 + ... + 12440410.

Almost surely, 210213240000 is an apocalyptic number.

10213240000 is a gapful number since it is divisible by the number (10) 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 10213240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12718947384).

10213240000 is an abundant number, since it is smaller than the sum of its proper divisors (15224654768).

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

10213240000 is an frugal number, since it uses more digits than its factorization.

10213240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10213240000 its reverse (4231201), we get a palindrome (10217471201).

The spelling of 10213240000 in words is "ten billion, two hundred thirteen million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 311 320 400 500 622 625 800 821 1000 1244 1250 1555 1600 1642 2000 2488 2500 3110 3284 4000 4105 4976 5000 6220 6568 7775 8000 8210 9952 10000 12440 13136 15550 16420 19904 20000 20525 24880 26272 31100 32840 38875 40000 41050 49760 52544 62200 65680 77750 82100 99520 102625 124400 131360 155500 164200 194375 205250 248800 255331 262720 311000 328400 388750 410500 497600 510662 513125 622000 656800 777500 821000 1021324 1026250 1244000 1276655 1313600 1555000 1642000 2042648 2052500 2488000 2553310 3110000 3284000 4085296 4105000 5106620 6220000 6383275 6568000 8170592 8210000 10213240 12440000 12766550 16341184 16420000 20426480 25533100 31916375 32840000 40852960 51066200 63832750 81705920 102132400 127665500 159581875 204264800 255331000 319163750 408529600 510662000 638327500 1021324000 1276655000 2042648000 2553310000 5106620000 10213240000