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30142321132 = 2271136113259
BaseRepresentation
bin11100000100100111…
…110101000111101100
32212210200002120021011
4130010213311013230
5443212413234012
621502554315004
72114645334160
oct340447650754
985720076234
1030142321132
1111868611000
125a12728a64
132ac4a05aa1
14165d2d4ca0
15bb638d1a7
hex7049f51ec

30142321132 has 96 divisors (see below), whose sum is σ = 67400686080. Its totient is φ = 11550369600.

The previous prime is 30142321129. The next prime is 30142321133. The reversal of 30142321132 is 23112324103.

It is a super-2 number, since 2×301423211322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (30142321133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2266719 + ... + 2279977.

It is an arithmetic number, because the mean of its divisors is an integer number (702090480).

Almost surely, 230142321132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33700343040).

30142321132 is an abundant number, since it is smaller than the sum of its proper divisors (37258364948).

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

30142321132 is a wasteful number, since it uses less digits than its factorization.

30142321132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 30142321132 its reverse (23112324103), we get a palindrome (53254645235).

The spelling of 30142321132 in words is "thirty billion, one hundred forty-two million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 121 122 154 242 244 308 427 484 671 847 854 1331 1342 1694 1708 2662 2684 3388 4697 5324 7381 9317 9394 13259 14762 18634 18788 26518 29524 37268 51667 53036 81191 92813 103334 145849 162382 185626 206668 291698 324764 371252 568337 583396 808799 1020943 1136674 1604339 1617598 2041886 2273348 3208678 3235196 4083772 5661593 6417356 8896789 11230373 11323186 17647729 17793578 22460746 22646372 35295458 35587156 44921492 62277523 70590916 97864679 123534103 124555046 195729358 247068206 249110092 391458716 494136412 685052753 1076511469 1370105506 2153022938 2740211012 4306045876 7535580283 15071160566 30142321132