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10111004314020 = 2233579237013697
BaseRepresentation
bin1001001100100010011011…
…0100100000100110100100
31022210121021021102200001000
42103020212310200212210
52311124314101022040
633300533052433300
72062332053424051
oct223104664404644
938717237380030
1010111004314020
113249064384115
1211736b6a78830
1358460474307c
1426d537864028
151280252c0130
hex93226d209a4

10111004314020 has 96 divisors (see below), whose sum is σ = 31854641011200. Its totient is φ = 2662137833472.

The previous prime is 10111004314013. The next prime is 10111004314031. The reversal of 10111004314020 is 2041340011101.

10111004314020 is a `hidden beast` number, since 101 + 110 + 0 + 431 + 4 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10111004313984 and 10111004314002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118464189 + ... + 118549508.

It is an arithmetic number, because the mean of its divisors is an integer number (331819177200).

Almost surely, 210111004314020 is an apocalyptic number.

10111004314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111004314020 is an abundant number, since it is smaller than the sum of its proper divisors (21743636697180).

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

10111004314020 is a wasteful number, since it uses less digits than its factorization.

10111004314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237013794 (or 237013786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10111004314020 its reverse (2041340011101), we get a palindrome (12152344325121).

The spelling of 10111004314020 in words is "ten trillion, one hundred eleven billion, four million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 237013697 474027394 711041091 948054788 1185068485 1422082182 2133123273 2370136970 2844164364 3555205455 4266246546 4740273940 6399369819 7110410910 8532493092 10665616365 12798739638 14220821820 18724082063 21331232730 25597479276 31996849095 37448164126 42662465460 56172246189 63993698190 74896328252 93620410315 112344492378 127987396380 168516738567 187240820630 224688984756 280861230945 337033477134 374481641260 505550215701 561722461890 674066954268 842583692835 1011100431402 1123444923780 1685167385670 2022200862804 2527751078505 3370334771340 5055502157010 10111004314020