Search a number
-
+
3331020130302 = 2317416159921799
BaseRepresentation
bin110000011110010000010…
…001011000011111111110
3102210102221112001012021010
4300132100101120133332
5414033412123132202
611030125521420050
7462441532640214
oct60362021303776
912712845035233
103331020130302
111074750029aa7
124596a7a9a626
131b216318b5a7
14b7317b50cb4
155b9aa38776c
hex307904587fe

3331020130302 has 128 divisors (see below), whose sum is σ = 7357029120000. Its totient is φ = 1001103667200.

The previous prime is 3331020130279. The next prime is 3331020130303. The reversal of 3331020130302 is 2030310201333.

3331020130302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33310201303022 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331020130303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152795199 + ... + 152816997.

It is an arithmetic number, because the mean of its divisors is an integer number (57476790000).

Almost surely, 23331020130302 is an apocalyptic number.

3331020130302 is an abundant number, since it is smaller than the sum of its proper divisors (4026008989698).

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

3331020130302 is a wasteful number, since it uses less digits than its factorization.

3331020130302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22522.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3331020130302 its reverse (2030310201333), we get a palindrome (5361330331635).

The spelling of 3331020130302 in words is "three trillion, three hundred thirty-one billion, twenty million, one hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 17 34 41 51 61 82 102 122 123 183 246 366 599 697 1037 1198 1394 1797 2074 2091 2501 3111 3594 4182 5002 6222 7503 10183 15006 20366 21799 24559 30549 36539 42517 43598 49118 61098 65397 73078 73677 85034 109617 127551 130794 147354 219234 255102 370583 417503 621163 741166 835006 893759 1111749 1242326 1252509 1329739 1498099 1787518 1863489 2223498 2505018 2659478 2681277 2996198 3726978 3989217 4494297 5362554 7978434 8988594 13057601 15193903 22605563 25467683 26115202 30387806 39172803 45211126 45581709 50935366 54519299 67816689 76403049 78345606 91163418 109038598 135633378 152806098 163557897 221979217 327115794 443958434 535361641 665937651 796513661 926828083 1070723282 1331875302 1593027322 1606084923 1853656166 2389540983 2780484249 3212169846 4779081966 5560968498 9101147897 13540732237 18202295794 27081464474 27303443691 32657060101 40622196711 54606887382 65314120202 81244393422 97971180303 195942360606 555170021717 1110340043434 1665510065151 3331020130302