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30142321110 = 232511173175993
BaseRepresentation
bin11100000100100111…
…110101000111010110
32212210200002120020100
4130010213311013112
5443212413233420
621502554314530
72114645334126
oct340447650726
985720076210
1030142321110
1111868610a90
125a12728a46
132ac4a05a85
14165d2d4c86
15bb638d190
hex7049f51d6

30142321110 has 96 divisors (see below), whose sum is σ = 85989260448. Its totient is φ = 7264949760.

The previous prime is 30142321091. The next prime is 30142321117. The reversal of 30142321110 is 1112324103.

30142321110 is a `hidden beast` number, since 30 + 1 + 423 + 211 + 1 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142321117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83274 + ... + 259266.

It is an arithmetic number, because the mean of its divisors is an integer number (895721463).

Almost surely, 230142321110 is an apocalyptic number.

30142321110 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 30142321110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42994630224).

30142321110 is an abundant number, since it is smaller than the sum of its proper divisors (55846939338).

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

30142321110 is a wasteful number, since it uses less digits than its factorization.

30142321110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176190 (or 176187 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30142321110 its reverse (1112324103), we get a palindrome (31254645213).

The spelling of 30142321110 in words is "thirty billion, one hundred forty-two million, three hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 173 198 330 346 495 519 865 990 1038 1557 1730 1903 2595 3114 3806 5190 5709 7785 9515 11418 15570 17127 19030 28545 34254 57090 85635 171270 175993 351986 527979 879965 1055958 1583937 1759930 1935923 2639895 3167874 3871846 5279790 5807769 7919685 9679615 11615538 15839370 17423307 19359230 29038845 30446789 34846614 58077690 60893578 87116535 91340367 152233945 174233070 182680734 274021101 304467890 334914679 456701835 548042202 669829358 913403670 1004744037 1370105505 1674573395 2009488074 2740211010 3014232111 3349146790 5023720185 6028464222 10047440370 15071160555 30142321110