Search a number
-
+
3023013111030 = 23251122711024337
BaseRepresentation
bin101011111111011001100…
…111110110010011110110
3101200222220222111102222200
4223333121213312103312
5344012112324023110
610232430354205330
7431256040321203
oct53773147662366
911628828442880
103023013111030
11a66064100700
12409a68b83846
1318c0b852c973
14a6459438caa
155397ec936c0
hex2bfd99f64f6

3023013111030 has 144 divisors (see below), whose sum is σ = 8671209648192. Its totient is φ = 730146700800.

The previous prime is 3023013111023. The next prime is 3023013111049. The reversal of 3023013111030 is 301113103203.

It is a happy number.

3023013111030 is a `hidden beast` number, since 302 + 301 + 31 + 1 + 1 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3023013110994 and 3023013111012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2439022 + ... + 3463358.

It is an arithmetic number, because the mean of its divisors is an integer number (60216733668).

Almost surely, 23023013111030 is an apocalyptic number.

3023013111030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023013111030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335604824096).

3023013111030 is an abundant number, since it is smaller than the sum of its proper divisors (5648196537162).

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

3023013111030 is a wasteful number, since it uses less digits than its factorization.

3023013111030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024643 (or 1024629 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3023013111030 its reverse (301113103203), we get a palindrome (3324126214233).

The spelling of 3023013111030 in words is "three trillion, twenty-three billion, thirteen million, one hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 271 330 363 495 542 605 726 813 990 1089 1210 1355 1626 1815 2178 2439 2710 2981 3630 4065 4878 5445 5962 8130 8943 10890 12195 14905 17886 24390 26829 29810 32791 44715 53658 65582 89430 98373 134145 163955 196746 268290 295119 327910 491865 590238 983730 1024337 1475595 2048674 2951190 3073011 5121685 6146022 9219033 10243370 11267707 15365055 18438066 22535414 30730110 33803121 46095165 56338535 67606242 92190330 101409363 112677070 123944777 169015605 202818726 247889554 277595327 338031210 371834331 507046815 555190654 619723885 743668662 832785981 1014093630 1115502993 1239447770 1387976635 1665571962 1859171655 2231005986 2498357943 2775953270 3053548597 3718343310 4163929905 4996715886 5577514965 6107097194 8327859810 9160645791 11155029930 12491789715 15267742985 18321291582 24983579430 27481937373 30535485970 33589034567 45803228955 54963874746 67178069134 91606457910 100767103701 137409686865 167945172835 201534207402 274819373730 302301311103 335890345670 503835518505 604602622206 1007671037010 1511506555515 3023013111030