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1000023111300 = 22352171163168601
BaseRepresentation
bin11101000110101100000…
…01011011011010000100
310112121020022220121020010
432203112001123122010
5112341021404030200
62043223153510220
7132151335123633
oct16432601333204
93477208817203
101000023111300
1135611aa80844
12141989872370
13733bcccb175
143658954151a
151b02d7ce150
hexe8d605b684

1000023111300 has 144 divisors (see below), whose sum is σ = 3066252622272. Its totient is φ = 250768896000.

The previous prime is 1000023111299. The next prime is 1000023111319. The reversal of 1000023111300 is 31113200001.

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, 5847000 + ... + 6015600.

It is an arithmetic number, because the mean of its divisors is an integer number (21293420988).

Almost surely, 21000023111300 is an apocalyptic number.

1000023111300 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 1000023111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533126311136).

1000023111300 is an abundant number, since it is smaller than the sum of its proper divisors (2066229510972).

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

1000023111300 is a wasteful number, since it uses less digits than its factorization.

1000023111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169798 (or 169791 counting only the distinct ones).

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

Adding to 1000023111300 its reverse (31113200001), we get a palindrome (1031136311301).

The spelling of 1000023111300 in words is "one trillion, twenty-three million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1163 1275 1700 2326 2550 3489 4652 5100 5815 6978 11630 13956 17445 19771 23260 29075 34890 39542 58150 59313 69780 79084 87225 98855 116300 118626 168601 174450 197710 237252 296565 337202 348900 395420 494275 505803 593130 674404 843005 988550 1011606 1186260 1482825 1686010 1977100 2023212 2529015 2866217 2965650 3372020 4215025 5058030 5732434 5931300 8430050 8598651 10116060 11464868 12645075 14331085 16860100 17197302 25290150 28662170 34394604 42993255 50580300 57324340 71655425 85986510 143310850 171973020 196082963 214966275 286621700 392165926 429932550 588248889 784331852 859865100 980414815 1176497778 1960829630 2352995556 2941244445 3333410371 3921659260 4902074075 5882488890 6666820742 9804148150 10000231113 11764977780 13333641484 14706222225 16667051855 19608296300 20000462226 29412444450 33334103710 40000924452 50001155565 58824888900 66668207420 83335259275 100002311130 166670518550 200004622260 250005777825 333341037100 500011555650 1000023111300