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103323000221200 = 2452709794945833
BaseRepresentation
bin10111011111100011000010…
…101110011010111000010000
3111112211120201112111010111101
4113133203002232122320100
5102020321001024034300
61003425533033554144
730522561160032334
oct2737430256327020
9445746645433441
10103323000221200
112aa16046aaa821
12b708833875954
134586417910496
141b72c077957c4
15be2a05a27b6a
hex5df8c2b9ae10

103323000221200 has 120 divisors (see below), whose sum is σ = 248620322493000. Its totient is φ = 41264815534080.

The previous prime is 103323000221179. The next prime is 103323000221251. The reversal of 103323000221200 is 2122000323301.

It can be written as a sum of positive squares in 12 ways, for example, as 41010037672464 + 62312962548736 = 6403908^2 + 7893856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2254313484 + ... + 2254359316.

It is an arithmetic number, because the mean of its divisors is an integer number (2071836020775).

Almost surely, 2103323000221200 is an apocalyptic number.

103323000221200 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 103323000221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124310161246500).

103323000221200 is an abundant number, since it is smaller than the sum of its proper divisors (145297322271800).

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

103323000221200 is a wasteful number, since it uses less digits than its factorization.

103323000221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54509 (or 54498 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 103323000221200 its reverse (2122000323301), we get a palindrome (105445000544501).

The spelling of 103323000221200 in words is "one hundred three trillion, three hundred twenty-three billion, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 709 1418 2836 3545 5672 7090 7949 11344 14180 15898 17725 28360 31796 35450 39745 45833 56720 63592 70900 79490 91666 127184 141800 158980 183332 198725 229165 283600 317960 366664 397450 458330 635920 733328 794900 916660 1145825 1589800 1833320 2291650 3179600 3666640 4583300 5635841 9166600 11271682 18333200 22543364 28179205 32495597 45086728 56358410 64991194 90173456 112716820 129982388 140896025 162477985 225433640 259964776 281792050 324955970 364326517 450867280 519929552 563584100 649911940 728653034 812389925 1127168200 1299823880 1457306068 1624779850 1821632585 2254336400 2599647760 2914612136 3249559700 3643265170 5829224272 6499119400 7286530340 9108162925 12998238800 14573060680 18216325850 29146121360 36432651700 72865303400 145730606800 258307500553 516615001106 1033230002212 1291537502765 2066460004424 2583075005530 4132920008848 5166150011060 6457687513825 10332300022120 12915375027650 20664600044240 25830750055300 51661500110600 103323000221200