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100021122000 = 2433531852243
BaseRepresentation
bin101110100100110111…
…0010011001111010000
3100120011122101110012000
41131021232103033100
53114320401401000
6113540555434000
710140421336452
oct1351156231720
9316148343160
10100021122000
11394673523a8
1217474a55900
13957ccc6777
144babb9c2d2
15290600d000
hex1749b933d0

100021122000 has 160 divisors (see below), whose sum is σ = 358298079360. Its totient is φ = 26672284800.

The previous prime is 100021121999. The next prime is 100021122011. The reversal of 100021122000 is 221120001.

It is a super-2 number, since 2×1000211220002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872122 + ... + 980121.

It is an arithmetic number, because the mean of its divisors is an integer number (2239362996).

Almost surely, 2100021122000 is an apocalyptic number.

100021122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021122000 is an abundant number, since it is smaller than the sum of its proper divisors (258276957360).

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

100021122000 is a wasteful number, since it uses less digits than its factorization.

100021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852275 (or 1852253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100021122000 its reverse (221120001), we get a palindrome (100242242001).

The spelling of 100021122000 in words is "one hundred billion, twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 1852243 3704486 5556729 7408972 9261215 11113458 14817944 16670187 18522430 22226916 27783645 29635888 33340374 37044860 44453832 46306075 50010561 55567290 66680748 74089720 83350935 88907664 92612150 100021122 111134580 133361496 138918225 148179440 166701870 185224300 200042244 222269160 231530375 250052805 266722992 277836450 333403740 370448600 400084488 416754675 444538320 463060750 500105610 555672900 666807480 694591125 740897200 800168976 833509350 926121500 1000211220 1111345800 1250264025 1333614960 1389182250 1667018700 1852243000 2000422440 2083773375 2222691600 2500528050 2778364500 3334037400 3704486000 4000844880 4167546750 5001056100 5556729000 6251320125 6668074800 8335093500 10002112200 11113458000 12502640250 16670187000 20004224400 25005280500 33340374000 50010561000 100021122000