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10123011300 = 22352378910247
BaseRepresentation
bin10010110110110000…
…01110010011100100
3222010111020020220110
421123120032103210
5131212442330200
64352255133020
7505600114323
oct113330162344
928114206813
1010123011300
1143251a3246
121b66214170
13c54329c1c
146c06240ba
153e3aaab50
hex25b60e4e4

10123011300 has 144 divisors (see below), whose sum is σ = 30421802880. Its totient is φ = 2596746240.

The previous prime is 10123011209. The next prime is 10123011319. The reversal of 10123011300 is 311032101.

It is a super-3 number, since 3×101230113003 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982777 + ... + 993023.

It is an arithmetic number, because the mean of its divisors is an integer number (211262520).

Almost surely, 210123011300 is an apocalyptic number.

10123011300 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 10123011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210901440).

10123011300 is an abundant number, since it is smaller than the sum of its proper divisors (20298791580).

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

10123011300 is a wasteful number, since it uses less digits than its factorization.

10123011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10123011300 its reverse (311032101), we get a palindrome (10434043401).

The spelling of 10123011300 in words is "ten billion, one hundred twenty-three million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 89 100 111 148 150 178 185 222 267 300 356 370 444 445 534 555 740 890 925 1068 1110 1335 1780 1850 2220 2225 2670 2775 3293 3700 4450 5340 5550 6586 6675 8900 9879 10247 11100 13172 13350 16465 19758 20494 26700 30741 32930 39516 40988 49395 51235 61482 65860 82325 98790 102470 122964 153705 164650 197580 204940 246975 256175 307410 329300 379139 493950 512350 614820 758278 768525 911983 987900 1024700 1137417 1516556 1537050 1823966 1895695 2274834 2735949 3074100 3647932 3791390 4549668 4559915 5471898 5687085 7582780 9119830 9478475 10943796 11374170 13679745 18239660 18956950 22748340 22799575 27359490 28435425 33743371 37913900 45599150 54718980 56870850 67486742 68398725 91198300 101230113 113741700 134973484 136797450 168716855 202460226 273594900 337433710 404920452 506150565 674867420 843584275 1012301130 1687168550 2024602260 2530752825 3374337100 5061505650 10123011300