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100241223000 = 2335346172481
BaseRepresentation
bin101110101011011010…
…1111010110101011000
3100120201222112201222220
41131112311322311120
53120243223114000
6114014501144040
710146033223362
oct1352665726530
9316658481886
10100241223000
113956a614556
12175166bb020
1395b679b149
144bcd0d3d32
15291a4d81a0
hex1756d7ad58

100241223000 has 128 divisors (see below), whose sum is σ = 313435362240. Its totient is φ = 26672640000.

The previous prime is 100241222969. The next prime is 100241223023. The reversal of 100241223000 is 322142001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1346760 + ... + 1419240.

Almost surely, 2100241223000 is an apocalyptic number.

100241223000 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 100241223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156717681120).

100241223000 is an abundant number, since it is smaller than the sum of its proper divisors (213194139240).

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

100241223000 is a wasteful number, since it uses less digits than its factorization.

100241223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72966 (or 72952 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100241223000 its reverse (322142001), we get a palindrome (100563365001).

The spelling of 100241223000 in words is "one hundred billion, two hundred forty-one million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 461 500 600 750 922 1000 1383 1500 1844 2305 2766 3000 3688 4610 5532 6915 9220 11064 11525 13830 18440 23050 27660 34575 46100 55320 57625 69150 72481 92200 115250 138300 144962 172875 217443 230500 276600 289924 345750 362405 434886 461000 579848 691500 724810 869772 1087215 1383000 1449620 1739544 1812025 2174430 2899240 3624050 4348860 5436075 7248100 8697720 9060125 10872150 14496200 18120250 21744300 27180375 33413741 36240500 43488600 54360750 66827482 72481000 100241223 108721500 133654964 167068705 200482446 217443000 267309928 334137410 400964892 501206115 668274820 801929784 835343525 1002412230 1336549640 1670687050 2004824460 2506030575 3341374100 4009648920 4176717625 5012061150 6682748200 8353435250 10024122300 12530152875 16706870500 20048244600 25060305750 33413741000 50120611500 100241223000