Search a number
-
+
30002141302232 = 23112342135209483
BaseRepresentation
bin1101101001001011010101…
…11110011000110111011000
310221020011202210221011221012
412310211222332120313120
512413023341133132412
6143450443214433052
76214404013223651
oct664455276306730
9127204683834835
1030002141302232
11961792267a120
123446748502788
131398260c5b5a8
1475a17b908528
15370657c9dc22
hex1b496af98dd8

30002141302232 has 64 divisors (see below), whose sum is σ = 64188297711360. Its totient is φ = 13013424547200.

The previous prime is 30002141302213. The next prime is 30002141302267. The reversal of 30002141302232 is 23220314120003.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 30002141302198 and 30002141302207.

It is a congruent number.

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, 16752638 + ... + 18456845.

It is an arithmetic number, because the mean of its divisors is an integer number (1002942151740).

Almost surely, 230002141302232 is an apocalyptic number.

It is an amenable number.

30002141302232 is an abundant number, since it is smaller than the sum of its proper divisors (34186156409128).

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

30002141302232 is a wasteful number, since it uses less digits than its factorization.

30002141302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35209944 (or 35209940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 30002141302232 its reverse (23220314120003), we get a palindrome (53222455422235).

The spelling of 30002141302232 in words is "thirty trillion, two billion, one hundred forty-one million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 421 506 842 1012 1684 2024 3368 4631 9262 9683 18524 19366 37048 38732 77464 106513 213026 426052 852104 35209483 70418966 140837932 281675864 387304313 774608626 809818109 1549217252 1619636218 3098434504 3239272436 6478544872 8907999199 14823192343 17815998398 29646384686 35631996796 59292769372 71263993592 118585538744 163055115773 326110231546 340933423889 652220463092 681866847778 1304440926184 1363733695556 2727467391112 3750267662779 7500535325558 15001070651116 30002141302232