Search a number
-
+
2104433333310 = 2357112633345997
BaseRepresentation
bin11110100111111010000…
…000000101010000111110
321110011220120120212012210
4132213322000011100332
5233434334413131220
64250432513441250
7305016551122410
oct36477200052076
97404816525183
102104433333310
11741537832910
1229ba2a570226
131235a76a8059
1473bd86249b0
1539b1b5376e0
hex1e9fa00543e

2104433333310 has 128 divisors (see below), whose sum is σ = 6299311555584. Its totient is φ = 437117506560.

The previous prime is 2104433333263. The next prime is 2104433333323. The reversal of 2104433333310 is 133333344012.

It is a super-2 number, since 2×21044333333102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5909232 + ... + 6255228.

It is an arithmetic number, because the mean of its divisors is an integer number (49213371528).

Almost surely, 22104433333310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104433333310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149655777792).

2104433333310 is an abundant number, since it is smaller than the sum of its proper divisors (4194878222274).

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

2104433333310 is a wasteful number, since it uses less digits than its factorization.

2104433333310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348658.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 2104433333310 its reverse (133333344012), we get a palindrome (2237766677322).

The spelling of 2104433333310 in words is "two trillion, one hundred four billion, four hundred thirty-three million, three hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 2633 5266 7899 13165 15798 18431 26330 28963 36862 39495 55293 57926 78990 86889 92155 110586 144815 173778 184310 202741 276465 289630 345997 405482 434445 552930 608223 691994 868890 1013705 1037991 1216446 1729985 2027410 2075982 2421979 3041115 3459970 3805967 4843958 5189955 6082230 7265937 7611934 10379910 11417901 12109895 14531874 19029835 22835802 24219790 26641769 36329685 38059670 53283538 57089505 72659370 79925307 114179010 133208845 159850614 266417690 399626535 799253070 911010101 1822020202 2733030303 4555050505 5466060606 6377070707 9110101010 10021111111 12754141414 13665151515 19131212121 20042222222 27330303030 30063333333 31885353535 38262424242 50105555555 60126666666 63770707070 70147777777 95656060605 100211111110 140295555554 150316666665 191312121210 210443333331 300633333330 350738888885 420886666662 701477777770 1052216666655 2104433333310