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10023001123300 = 225211283206315607
BaseRepresentation
bin1001000111011010100101…
…1010111110100111100100
31022111012010011220101021221
42101312221122332213210
52303204101241421200
633152300402550124
72053065211562644
oct221665132764744
938435104811257
1010023001123300
113214804920430
12115a636968344
1357921b51ba59
14269189c30524
15125ac43c591a
hex91da96be9e4

10023001123300 has 144 divisors (see below), whose sum is σ = 23824087160832. Its totient is φ = 3629855721600.

The previous prime is 10023001123283. The next prime is 10023001123301. The reversal of 10023001123300 is 332110032001.

It is not an unprimeable number, because it can be changed into a prime (10023001123301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642204097 + ... + 642219703.

It is an arithmetic number, because the mean of its divisors is an integer number (165445049728).

Almost surely, 210023001123300 is an apocalyptic number.

10023001123300 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 10023001123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912043580416).

10023001123300 is an abundant number, since it is smaller than the sum of its proper divisors (13801086037532).

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

10023001123300 is a wasteful number, since it uses less digits than its factorization.

10023001123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17978 (or 17971 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10023001123300 its reverse (332110032001), we get a palindrome (10355111155301).

The spelling of 10023001123300 in words is "ten trillion, twenty-three billion, one million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 283 550 566 1100 1132 1415 2063 2830 3113 4126 5660 6226 7075 8252 10315 12452 14150 15565 15607 20630 22693 28300 31130 31214 41260 45386 51575 62260 62428 77825 78035 90772 103150 113465 155650 156070 171677 206300 226930 311300 312140 343354 390175 453860 567325 583829 686708 780350 858385 1134650 1167658 1560700 1716770 2269300 2335316 2919145 3433540 4291925 4416781 5838290 6422119 8583850 8833562 11676580 12844238 14595725 17167700 17667124 22083905 25688476 29191450 32110595 32197241 44167810 48584591 58382900 64221190 64394482 88335620 97169182 110419525 128442380 128788964 160552975 160986205 194338364 220839050 242922955 321105950 321972410 354169651 441678100 485845910 642211900 643944820 708339302 804931025 971691820 1214614775 1416678604 1609862050 1770848255 2429229550 3219724100 3541696510 4858459100 7083393020 8854241275 9111819203 17708482550 18223638406 35416965100 36447276812 45559096015 91118192030 100230011233 182236384060 200460022466 227795480075 400920044932 455590960150 501150056165 911181920300 1002300112330 2004600224660 2505750280825 5011500561650 10023001123300