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111300010020 = 223252921321841
BaseRepresentation
bin110011110100111111…
…1110110000000100100
3101122021200121022212100
41213221333312000210
53310420300310040
6123044105252100
711020055322063
oct1475177660044
9348250538770
10111300010020
1143224a54961
12196a2194030
13a6599395c4
14555bb081da
152d662dab30
hex19e9ff6024

111300010020 has 72 divisors (see below), whose sum is σ = 349251771960. Its totient is φ = 28656552960.

The previous prime is 111300009971. The next prime is 111300010037. The reversal of 111300010020 is 20010003111.

It can be written as a sum of positive squares in 4 ways, for example, as 28490739264 + 82809270756 = 168792^2 + 287766^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111300009984 and 111300010011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10655701 + ... + 10666140.

It is an arithmetic number, because the mean of its divisors is an integer number (4850719055).

Almost surely, 2111300010020 is an apocalyptic number.

111300010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111300010020 is an abundant number, since it is smaller than the sum of its proper divisors (237951761940).

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

111300010020 is a wasteful number, since it uses less digits than its factorization.

111300010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21321885 (or 21321880 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 111300010020 its reverse (20010003111), we get a palindrome (131310013131).

The spelling of 111300010020 in words is "one hundred eleven billion, three hundred million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 21321841 42643682 63965523 85287364 106609205 127931046 191896569 213218410 255862092 319827615 383793138 426436820 618333389 639655230 767586276 959482845 1236666778 1279310460 1855000167 1918965690 2473333556 3091666945 3710000334 3837931380 5565000501 6183333890 7420000668 9275000835 11130001002 12366667780 18550001670 22260002004 27825002505 37100003340 55650005010 111300010020