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10033214334 = 23111319759359
BaseRepresentation
bin10010101100000011…
…01011001101111110
3221220020021002121220
421112001223031332
5131022000324314
64335330334210
7503426625513
oct112601531576
927806232556
1010033214334
114289540480
121b4012a366
13c3b849520
146b272b30a
153dac6e3a9
hex25606b37e

10033214334 has 64 divisors (see below), whose sum is σ = 23694612480. Its totient is φ = 2792200320.

The previous prime is 10033214311. The next prime is 10033214357. The reversal of 10033214334 is 43341233001.

It is an interprime number because it is at equal distance from previous prime (10033214311) and next prime (10033214357).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139347 + ... + 198705.

It is an arithmetic number, because the mean of its divisors is an integer number (370228320).

Almost surely, 210033214334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033214334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847306240).

10033214334 is an abundant number, since it is smaller than the sum of its proper divisors (13661398146).

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

10033214334 is a wasteful number, since it uses less digits than its factorization.

10033214334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59585.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10033214334 its reverse (43341233001), we get a palindrome (53374447335).

The spelling of 10033214334 in words is "ten billion, thirty-three million, two hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 197 286 394 429 591 858 1182 2167 2561 4334 5122 6501 7683 13002 15366 28171 56342 59359 84513 118718 169026 178077 356154 652949 771667 1305898 1543334 1958847 2315001 3917694 4630002 8488337 11693723 16976674 23387446 25465011 35081169 50930022 70162338 128630953 152018399 257261906 304036798 385892859 456055197 771785718 912110394 1672202389 3344404778 5016607167 10033214334