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30142321002 = 23217834212819
BaseRepresentation
bin11100000100100111…
…110101000101101010
32212210200002120002100
4130010213311011222
5443212413233002
621502554314230
72114645333613
oct340447650552
985720076070
1030142321002
11118686109a2
125a12728976
132ac4a05a01
14165d2d4c0a
15bb638d11c
hex7049f516a

30142321002 has 96 divisors (see below), whose sum is σ = 70174278720. Its totient is φ = 9316984320.

The previous prime is 30142320973. The next prime is 30142321007. The reversal of 30142321002 is 20012324103.

30142321002 is a `hidden beast` number, since 30 + 1 + 423 + 210 + 0 + 2 = 666.

It is a super-2 number, since 2×301423210022 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30142321007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10691149 + ... + 10693967.

It is an arithmetic number, because the mean of its divisors is an integer number (730982070).

Almost surely, 230142321002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142321002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35087139360).

30142321002 is an abundant number, since it is smaller than the sum of its proper divisors (40031957718).

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

30142321002 is a wasteful number, since it uses less digits than its factorization.

30142321002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30142321002 its reverse (20012324103), we get a palindrome (50154645105).

The spelling of 30142321002 in words is "thirty billion, one hundred forty-two million, three hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 421 498 747 842 1263 1411 1494 2526 2819 2822 3789 4233 5638 7157 7578 8457 8466 12699 14314 16914 21471 25371 25398 34943 42942 47923 50742 64413 69886 95846 104829 128826 143769 209658 233977 287538 314487 431307 467954 594031 628974 701931 862614 1186799 1188062 1403862 1782093 2105793 2373598 3560397 3564186 3977609 4211586 5346279 7120794 7955218 10681191 10692558 11932827 20175583 21362382 23865654 35798481 40351166 60526749 71596962 98504317 121053498 181580247 197008634 295512951 363160494 591025902 886538853 1674573389 1773077706 3349146778 5023720167 10047440334 15071160501 30142321002