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30010202334 = 23271312716709
BaseRepresentation
bin11011111100101111…
…110101100011011110
32212110110111020100100
4123330233311203132
5442430102433314
621441514441530
72111452340160
oct337457654336
985413436310
1030010202334
11117aaa82212
1259964332a6
132aa3527a98
141649942930
15ba9991c09
hex6fcbf58de

30010202334 has 96 divisors (see below), whose sum is σ = 75165742080. Its totient is φ = 8476228800.

The previous prime is 30010202311. The next prime is 30010202347. The reversal of 30010202334 is 43320201003.

30010202334 is a `hidden beast` number, since 300 + 10 + 20 + 2 + 334 = 666.

It is a super-2 number, since 2×300102023342 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4469772 + ... + 4476480.

It is an arithmetic number, because the mean of its divisors is an integer number (782976480).

Almost surely, 230010202334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010202334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37582871040).

30010202334 is an abundant number, since it is smaller than the sum of its proper divisors (45155539746).

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

30010202334 is a wasteful number, since it uses less digits than its factorization.

30010202334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30010202334 its reverse (43320201003), we get a palindrome (73330403337).

The spelling of 30010202334 in words is "thirty billion, ten million, two hundred two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 271 393 542 786 813 917 1179 1626 1834 1897 2358 2439 2751 3794 4878 5502 5691 6709 8253 11382 13418 16506 17073 20127 34146 35501 40254 46963 60381 71002 93926 106503 120762 140889 213006 248507 281778 319509 422667 497014 639018 745521 845334 878879 1491042 1757758 1818139 2236563 2636637 3636278 4473126 5273274 5454417 6152153 7909911 10908834 12304306 12726973 15819822 16363251 18456459 25453946 32726502 36912918 38180919 55369377 76361838 110738754 114542757 229085514 238176209 476352418 714528627 1429057254 1667233463 2143585881 3334466926 4287171762 5001700389 10003400778 15005101167 30010202334