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103320212321000 = 23534911031204101
BaseRepresentation
bin10111011111100000011100…
…100011011011001011101000
3111112211022112020120010101102
4113133200130203123023220
5102020244243323233000
61003424352243340532
730522432115210403
oct2737403443331350
9445738466503342
10103320212321000
112aa14946337074
12b708196081748
13458609215b7ac
141b72a21400d3a
15be28e0dcd3d5
hex5df81c8db2e8

103320212321000 has 128 divisors (see below), whose sum is σ = 242497864177920. Its totient is φ = 41203708000000.

The previous prime is 103320212320933. The next prime is 103320212321059. The reversal of 103320212321000 is 123212023301.

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

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, 506118950 + ... + 506323050.

It is an arithmetic number, because the mean of its divisors is an integer number (1894514563890).

Almost surely, 2103320212321000 is an apocalyptic number.

103320212321000 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 103320212321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121248932088960).

103320212321000 is an abundant number, since it is smaller than the sum of its proper divisors (139177651856920).

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

103320212321000 is a wasteful number, since it uses less digits than its factorization.

103320212321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205644 (or 205630 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103320212321000 its reverse (123212023301), we get a palindrome (103443424344301).

The spelling of 103320212321000 in words is "one hundred three trillion, three hundred twenty billion, two hundred twelve million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 491 500 982 1000 1031 1964 2062 2455 3928 4124 4910 5155 8248 9820 10310 12275 19640 20620 24550 25775 41240 49100 51550 61375 98200 103100 122750 128875 204101 206200 245500 257750 408202 491000 506221 515500 816404 1012442 1020505 1031000 1632808 2024884 2041010 2531105 4049768 4082020 5062210 5102525 8164040 10124420 10205050 12655525 20248840 20410100 25311050 25512625 40820200 50622100 51025250 63277625 100213591 101244200 102050500 126555250 200427182 204101000 210428131 253110500 400854364 420856262 501067955 506221000 801708728 841712524 1002135910 1052140655 1683425048 2004271820 2104281310 2505339775 4008543640 4208562620 5010679550 5260703275 8417125240 10021359100 10521406550 12526698875 20042718200 21042813100 25053397750 26303516375 42085626200 50106795500 52607032750 100213591000 103320212321 105214065500 206640424642 210428131000 413280849284 516601061605 826561698568 1033202123210 2066404246420 2583005308025 4132808492840 5166010616050 10332021232100 12915026540125 20664042464200 25830053080250 51660106160500 103320212321000