Search a number
-
+
33400031301 = 327131311931613
BaseRepresentation
bin11111000110110011…
…000000100001000101
310012012201001101111100
4133012303000201011
51021400402000201
623202130330313
72261453403360
oct370663004105
9105181041440
1033400031301
111318a4a095a
126581729999
1331c38cc240
14188bc230d7
15d0738a886
hex7c6cc0845

33400031301 has 96 divisors (see below), whose sum is σ = 60178390272. Its totient is φ = 17381744640.

The previous prime is 33400031299. The next prime is 33400031311. The reversal of 33400031301 is 10313000433.

33400031301 is a `hidden beast` number, since 334 + 0 + 0 + 0 + 31 + 301 = 666.

It is not a de Polignac number, because 33400031301 - 21 = 33400031299 is a prime.

It is a super-2 number, since 2×334000313012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33400031311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20705971 + ... + 20707583.

It is an arithmetic number, because the mean of its divisors is an integer number (626858232).

Almost surely, 233400031301 is an apocalyptic number.

It is an amenable number.

33400031301 is a deficient number, since it is larger than the sum of its proper divisors (26778358971).

33400031301 is a wasteful number, since it uses less digits than its factorization.

33400031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33400031301 its reverse (10313000433), we get a palindrome (43713031734).

The spelling of 33400031301 in words is "thirty-three billion, four hundred million, thirty-one thousand, three hundred one".

Divisors: 1 3 7 9 13 21 39 63 91 117 131 193 273 393 579 819 917 1179 1351 1613 1703 1737 2509 2751 4053 4839 5109 7527 8253 11291 11921 12159 14517 15327 17563 20969 22581 25283 33873 35763 52689 62907 75849 101619 107289 146783 158067 176981 188721 211303 227547 311309 328679 440349 530943 633909 933927 986037 1321047 1479121 1592829 1901727 2179163 2300753 2746939 2801781 2958111 4047017 4437363 6537489 6902259 8240817 12141051 13312089 19228573 19612467 20706777 24722451 28329119 36423153 40781479 57685719 84987357 122344437 173057157 254962071 285470353 367033311 530159227 856411059 1590477681 2569233177 3711114589 4771433043 11133343767 33400031301