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122213031000 = 2335382349499
BaseRepresentation
bin111000111010001110…
…1101101110001011000
3102200110020101020022120
41301310131231301120
54000243013443000
6132051025221240
711554360423554
oct1616435556130
9380406336276
10122213031000
1147915085065
121b828a91820
13b6a882c078
145cb5216864
1532a43e86a0
hex1c7476dc58

122213031000 has 128 divisors (see below), whose sum is σ = 381775680000. Its totient is φ = 32549884800.

The previous prime is 122213030959. The next prime is 122213031007. The reversal of 122213031000 is 130312221.

It is a super-2 number, since 2×1222130310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213031007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2444251 + ... + 2493749.

It is an arithmetic number, because the mean of its divisors is an integer number (2982622500).

Almost surely, 2122213031000 is an apocalyptic number.

122213031000 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 122213031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190887840000).

122213031000 is an abundant number, since it is smaller than the sum of its proper divisors (259562649000).

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

122213031000 is a wasteful number, since it uses less digits than its factorization.

122213031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50346 (or 50332 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122213031000 its reverse (130312221), we get a palindrome (122343343221).

The spelling of 122213031000 in words is "one hundred twenty-two billion, two hundred thirteen million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 823 1000 1500 1646 2469 3000 3292 4115 4938 6584 8230 9876 12345 16460 19752 20575 24690 32920 41150 49380 49499 61725 82300 98760 98998 102875 123450 148497 164600 197996 205750 246900 247495 296994 308625 395992 411500 493800 494990 593988 617250 742485 823000 989980 1187976 1234500 1237475 1484970 1979960 2469000 2474950 2969940 3712425 4949900 5939880 6187375 7424850 9899800 12374750 14849700 18562125 24749500 29699400 37124250 40737677 49499000 74248500 81475354 122213031 148497000 162950708 203688385 244426062 325901416 407376770 488852124 611065155 814753540 977704248 1018441925 1222130310 1629507080 2036883850 2444260620 3055325775 4073767700 4888521240 5092209625 6110651550 8147535400 10184419250 12221303100 15276628875 20368838500 24442606200 30553257750 40737677000 61106515500 122213031000