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103223144000 = 265323953987
BaseRepresentation
bin110000000100010010…
…1000010111001000000
3100212102210120000121102
41200020211002321000
53142400111102000
6115230422113532
710312652150534
oct1401045027100
9325383500542
10103223144000
113a85a856979
121800927b8a8
1399704c2742
144dd3151bc4
152a421aa3d5
hex1808942e40

103223144000 has 112 divisors (see below), whose sum is σ = 256706461440. Its totient is φ = 41115737600.

The previous prime is 103223143997. The next prime is 103223144039. The reversal of 103223144000 is 441322301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1885007 + ... + 1938993.

Almost surely, 2103223144000 is an apocalyptic number.

103223144000 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 103223144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128353230720).

103223144000 is an abundant number, since it is smaller than the sum of its proper divisors (153483317440).

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

103223144000 is an equidigital number, since it uses as much as digits as its factorization.

103223144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54253 (or 54233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103223144000 its reverse (441322301), we get a palindrome (103664466301).

The spelling of 103223144000 in words is "one hundred three billion, two hundred twenty-three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 239 250 320 400 478 500 800 956 1000 1195 1600 1912 2000 2390 3824 4000 4780 5975 7648 8000 9560 11950 15296 19120 23900 29875 38240 47800 53987 59750 76480 95600 107974 119500 191200 215948 239000 269935 382400 431896 478000 539870 863792 956000 1079740 1349675 1727584 1912000 2159480 2699350 3455168 4318960 5398700 6748375 8637920 10797400 12902893 13496750 17275840 21594800 25805786 26993500 43189600 51611572 53987000 64514465 86379200 103223144 107974000 129028930 206446288 215948000 258057860 322572325 412892576 431896000 516115720 645144650 825785152 1032231440 1290289300 1612861625 2064462880 2580578600 3225723250 4128925760 5161157200 6451446500 10322314400 12902893000 20644628800 25805786000 51611572000 103223144000