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10122303000 = 2335321115991
BaseRepresentation
bin10010110110101011…
…00001011000011000
3222010102220021022010
421123111201120120
5131212302144000
64352232025520
7505561104315
oct113325413030
928112807263
1010122303000
11432485a077
121b65b322a0
13c5413c704
146c04bbd0c
153e39bad50
hex25b561618

10122303000 has 128 divisors (see below), whose sum is σ = 31733245440. Its totient is φ = 2686320000.

The previous prime is 10122302987. The next prime is 10122303007. The reversal of 10122303000 is 30322101.

It is a happy number.

It is a super-2 number, since 2×101223030002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122303007) 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, 625005 + ... + 640995.

It is an arithmetic number, because the mean of its divisors is an integer number (247915980).

Almost surely, 210122303000 is an apocalyptic number.

10122303000 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 10122303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866622720).

10122303000 is an abundant number, since it is smaller than the sum of its proper divisors (21610942440).

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

10122303000 is a wasteful number, since it uses less digits than its factorization.

10122303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16226 (or 16212 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10122303000 its reverse (30322101), we get a palindrome (10152625101).

The spelling of 10122303000 in words is "ten billion, one hundred twenty-two million, three hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 211 250 300 375 422 500 600 633 750 844 1000 1055 1266 1500 1688 2110 2532 3000 3165 4220 5064 5275 6330 8440 10550 12660 15825 15991 21100 25320 26375 31650 31982 42200 47973 52750 63300 63964 79125 79955 95946 105500 126600 127928 158250 159910 191892 211000 239865 316500 319820 383784 399775 479730 633000 639640 799550 959460 1199325 1599100 1918920 1998875 2398650 3198200 3374101 3997750 4797300 5996625 6748202 7995500 9594600 10122303 11993250 13496404 15991000 16870505 20244606 23986500 26992808 33741010 40489212 47973000 50611515 67482020 80978424 84352525 101223030 134964040 168705050 202446060 253057575 337410100 404892120 421762625 506115150 674820200 843525250 1012230300 1265287875 1687050500 2024460600 2530575750 3374101000 5061151500 10122303000