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100021123000 = 2353475340153
BaseRepresentation
bin101110100100110111…
…0010011011110111000
3100120011122101111120001
41131021232103132320
53114320401414000
6113540555442344
710140421342411
oct1351156233670
9316148344501
10100021123000
1139467353127
1217474a563b4
13957ccc7066
144babb9c808
15290600d46a
hex1749b937b8

100021123000 has 128 divisors (see below), whose sum is σ = 243545253120. Its totient is φ = 38417433600.

The previous prime is 100021122997. The next prime is 100021123019. The reversal of 100021123000 is 321120001.

It is a super-2 number, since 2×1000211230002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2470924 + ... + 2511076.

It is an arithmetic number, because the mean of its divisors is an integer number (1902697290).

Almost surely, 2100021123000 is an apocalyptic number.

100021123000 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 100021123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121772626560).

100021123000 is an abundant number, since it is smaller than the sum of its proper divisors (143524130120).

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

100021123000 is a wasteful number, since it uses less digits than its factorization.

100021123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40274 (or 40260 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100021123000 its reverse (321120001), we get a palindrome (100342243001).

The spelling of 100021123000 in words is "one hundred billion, twenty-one million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 53 94 100 106 125 188 200 212 235 250 265 376 424 470 500 530 940 1000 1060 1175 1325 1880 2120 2350 2491 2650 4700 4982 5300 5875 6625 9400 9964 10600 11750 12455 13250 19928 23500 24910 26500 40153 47000 49820 53000 62275 80306 99640 124550 160612 200765 249100 311375 321224 401530 498200 622750 803060 1003825 1245500 1606120 1887191 2007650 2128109 2491000 3774382 4015300 4256218 5019125 7548764 8030600 8512436 9435955 10038250 10640545 15097528 17024872 18871910 20076500 21281090 37743820 40153000 42562180 47179775 53202725 75487640 85124360 94359550 100021123 106405450 188719100 200042246 212810900 235898875 266013625 377438200 400084492 425621800 471797750 500105615 532027250 800168984 943595500 1000211230 1064054500 1887191000 2000422460 2128109000 2500528075 4000844920 5001056150 10002112300 12502640375 20004224600 25005280750 50010561500 100021123000