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2301331104 = 253243185831
BaseRepresentation
bin1000100100101011…
…1000011010100000
312221101100201210100
42021022320122200
514203120043404
61020205302400
7111012664062
oct21112703240
95841321710
102301331104
11a81050136
12542864a00
132a8a1cca7
1417b8d7732
15d7085d39
hex892b86a0

2301331104 has 72 divisors (see below), whose sum is σ = 6696641952. Its totient is φ = 749266560.

The previous prime is 2301331099. The next prime is 2301331139. The reversal of 2301331104 is 4011331032.

2301331104 is a `hidden beast` number, since 230 + 1 + 331 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23013311042 = 10592249700475717632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80532 + ... + 105299.

It is an arithmetic number, because the mean of its divisors is an integer number (93008916).

Almost surely, 22301331104 is an apocalyptic number.

2301331104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2301331104 is an abundant number, since it is smaller than the sum of its proper divisors (4395310848).

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

2301331104 is a wasteful number, since it uses less digits than its factorization.

2301331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185890 (or 185879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2301331104 is about 47972.1909443377. The cubic root of 2301331104 is about 1320.2607198504.

Adding to 2301331104 its reverse (4011331032), we get a palindrome (6312662136).

The spelling of 2301331104 in words is "two billion, three hundred one million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 185831 371662 557493 743324 1114986 1486648 1672479 2229972 2973296 3344958 4459944 5946592 6689916 7990733 8919888 13379832 15981466 17839776 23972199 26759664 31962932 47944398 53519328 63925864 71916597 95888796 127851728 143833194 191777592 255703456 287666388 383555184 575332776 767110368 1150665552 2301331104