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30142133032 = 23113128339043
BaseRepresentation
bin11100000100100111…
…000111001100101000
32212210122202000020111
4130010213013030220
5443212341224112
621502550304104
72114643621604
oct340447071450
985718660214
1030142133032
11118684a2750
125a12658034
132ac496b29b
14165d286504
15bb63525a7
hex7049c7328

30142133032 has 64 divisors (see below), whose sum is σ = 63869736960. Its totient is φ = 13211812800.

The previous prime is 30142133017. The next prime is 30142133081. The reversal of 30142133032 is 23033124103.

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

It is a junction number, because it is equal to n+sod(n) for n = 30142132994 and 30142133012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752503 + ... + 791545.

It is an arithmetic number, because the mean of its divisors is an integer number (997964640).

Almost surely, 230142133032 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 30142133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31934868480).

30142133032 is an abundant number, since it is smaller than the sum of its proper divisors (33727603928).

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

30142133032 is a wasteful number, since it uses less digits than its factorization.

30142133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39374 (or 39370 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 30142133032 its reverse (23033124103), we get a palindrome (53175257135).

The spelling of 30142133032 in words is "thirty billion, one hundred forty-two million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 283 341 566 682 1132 1364 2264 2728 3113 6226 8773 12452 17546 24904 35092 39043 70184 78086 96503 156172 193006 312344 386012 429473 772024 858946 1210333 1717892 2420666 3435784 4841332 9682664 11049169 13313663 22098338 26627326 44196676 53254652 88393352 106509304 121540859 243081718 342524239 486163436 685048478 972326872 1370096956 2740193912 3767766629 7535533258 15071066516 30142133032