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33211334130 = 23513217385327
BaseRepresentation
bin11110111011100011…
…001011110111110010
310011201112222120122020
4132323203023313302
51021004100143010
623131310052310
72254002453012
oct367343136762
9104645876566
1033211334130
11130a2a28987
12652a4aa096
1331937a1800
141870b43c42
15ce5a15470
hex7bb8cbdf2

33211334130 has 96 divisors (see below), whose sum is σ = 91387471104. Its totient is φ = 7694189568.

The previous prime is 33211334119. The next prime is 33211334141. The reversal of 33211334130 is 3143311233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33211334119) and next prime (33211334141).

It is a super-2 number, since 2×332113341302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33211334130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106474 + ... + 278853.

It is an arithmetic number, because the mean of its divisors is an integer number (951952824).

Almost surely, 233211334130 is an apocalyptic number.

33211334130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33211334130 is an abundant number, since it is smaller than the sum of its proper divisors (58176136974).

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

33211334130 is a wasteful number, since it uses less digits than its factorization.

33211334130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385380 (or 385367 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 33211334130 its reverse (3143311233), we get a palindrome (36354645363).

The spelling of 33211334130 in words is "thirty-three billion, two hundred eleven million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 169 170 195 221 255 338 390 442 507 510 663 845 1014 1105 1326 1690 2210 2535 2873 3315 5070 5746 6630 8619 14365 17238 28730 43095 86190 385327 770654 1155981 1926635 2311962 3853270 5009251 5779905 6550559 10018502 11559810 13101118 15027753 19651677 25046255 30055506 32752795 39303354 50092510 65120263 65505590 75138765 85157267 98258385 130240526 150277530 170314534 195360789 196516770 255471801 325601315 390721578 425786335 510943602 651202630 851572670 976803945 1107044471 1277359005 1953607890 2214088942 2554718010 3321133413 5535222355 6642266826 11070444710 16605667065 33211334130