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10120222000 = 245374316811
BaseRepresentation
bin10010110110011011…
…00101010100110000
3222010021222112201001
421123031211110300
5131211234101000
64352115251344
7505534316260
oct113315452460
928107875631
1010120222000
114323668639
121b652a9b54
13c53891455
146c00d97a0
153e370946a
hex25b365530

10120222000 has 160 divisors (see below), whose sum is σ = 28618596864. Its totient is φ = 3388896000.

The previous prime is 10120221983. The next prime is 10120222001. The reversal of 10120222000 is 22202101.

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

It is not an unprimeable number, because it can be changed into a prime (10120222001) 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, 593595 + ... + 610405.

Almost surely, 210120222000 is an apocalyptic number.

10120222000 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 10120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309298432).

10120222000 is an abundant number, since it is smaller than the sum of its proper divisors (18498374864).

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

10120222000 is a wasteful number, since it uses less digits than its factorization.

10120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16884 (or 16868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10120222000 its reverse (22202101), we get a palindrome (10142424101).

The spelling of 10120222000 in words is "ten billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 100 112 125 140 172 175 200 215 250 280 301 344 350 400 430 500 560 602 688 700 860 875 1000 1075 1204 1400 1505 1720 1750 2000 2150 2408 2800 3010 3440 3500 4300 4816 5375 6020 7000 7525 8600 10750 12040 14000 15050 16811 17200 21500 24080 30100 33622 37625 43000 60200 67244 75250 84055 86000 117677 120400 134488 150500 168110 235354 268976 301000 336220 420275 470708 588385 602000 672440 722873 840550 941416 1176770 1344880 1445746 1681100 1882832 2101375 2353540 2891492 2941925 3362200 3614365 4202750 4707080 5060111 5782984 5883850 6724400 7228730 8405500 9414160 10120222 11565968 11767700 14457460 14709625 16811000 18071825 20240444 23535400 25300555 28914920 29419250 33622000 36143650 40480888 47070800 50601110 57829840 58838500 72287300 80961776 90359125 101202220 117677000 126502775 144574600 180718250 202404440 235354000 253005550 289149200 361436500 404808880 506011100 632513875 722873000 1012022200 1265027750 1445746000 2024044400 2530055500 5060111000 10120222000