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100021122300 = 2235211149203419
BaseRepresentation
bin101110100100110111…
…0010011010011111100
3100120011122101110121010
41131021232103103330
53114320401403200
6113540555435220
710140421340361
oct1351156232374
9316148343533
10100021122300
1139467352650
1217474a55b10
13957ccc6948
144babb9c468
15290600d150
hex1749b934fc

100021122300 has 144 divisors (see below), whose sum is σ = 317823408000. Its totient is φ = 24084691200.

The previous prime is 100021122283. The next prime is 100021122317. The reversal of 100021122300 is 3221120001.

It is an interprime number because it is at equal distance from previous prime (100021122283) and next prime (100021122317).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389991 + ... + 593409.

It is an arithmetic number, because the mean of its divisors is an integer number (2207107000).

Almost surely, 2100021122300 is an apocalyptic number.

100021122300 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 100021122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158911704000).

100021122300 is an abundant number, since it is smaller than the sum of its proper divisors (217802285700).

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

100021122300 is a wasteful number, since it uses less digits than its factorization.

100021122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203596 (or 203589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100021122300 its reverse (3221120001), we get a palindrome (103242242301).

The spelling of 100021122300 in words is "one hundred billion, twenty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 149 150 165 220 275 298 300 330 447 550 596 660 745 825 894 1100 1490 1639 1650 1788 2235 2980 3278 3300 3725 4470 4917 6556 7450 8195 8940 9834 11175 14900 16390 19668 22350 24585 32780 40975 44700 49170 81950 98340 122925 163900 203419 245850 406838 491700 610257 813676 1017095 1220514 2034190 2237609 2441028 3051285 4068380 4475218 5085475 6102570 6712827 8950436 10170950 11188045 12205140 13425654 15256425 20341900 22376090 26851308 30309431 30512850 33564135 44752180 55940225 60618862 61025700 67128270 90928293 111880450 121237724 134256540 151547155 167820675 181856586 223760900 303094310 333403741 335641350 363713172 454641465 606188620 666807482 671282700 757735775 909282930 1000211223 1333614964 1515471550 1667018705 1818565860 2000422446 2273207325 3030943100 3334037410 4000844892 4546414650 5001056115 6668074820 8335093525 9092829300 10002112230 16670187050 20004224460 25005280575 33340374100 50010561150 100021122300