Search a number
-
+
20243130012 = 22337193138739
BaseRepresentation
bin10010110110100101…
…011010011010011100
31221020210000112221000
4102312211122122130
5312424220130022
613144412310300
71314433523520
oct226645323234
957223015830
1020243130012
1186487a0216
123b0b472390
131ba7b83351
14da06d3d80
157d72946ac
hex4b695a69c

20243130012 has 96 divisors (see below), whose sum is σ = 60290854400. Its totient is φ = 5753742336.

The previous prime is 20243130007. The next prime is 20243130053. The reversal of 20243130012 is 21003134202.

20243130012 is a `hidden beast` number, since 202 + 431 + 30 + 0 + 1 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 76539 + ... + 215277.

Almost surely, 220243130012 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 20243130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30145427200).

20243130012 is an abundant number, since it is smaller than the sum of its proper divisors (40047724388).

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

20243130012 is a wasteful number, since it uses less digits than its factorization.

20243130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138952 (or 138944 counting only the distinct ones).

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

Adding to 20243130012 its reverse (21003134202), we get a palindrome (41246264214).

The spelling of 20243130012 in words is "twenty billion, two hundred forty-three million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 193 252 378 386 579 756 772 1158 1351 1737 2316 2702 3474 4053 5211 5404 6948 8106 10422 12159 16212 20844 24318 36477 48636 72954 138739 145908 277478 416217 554956 832434 971173 1248651 1664868 1942346 2497302 2913519 3745953 3884692 4994604 5827038 7491906 8740557 11654076 14983812 17481114 26221671 26776627 34962228 52443342 53553254 80329881 104886684 107106508 160659762 187436389 240989643 321319524 374872778 481979286 562309167 722968929 749745556 963958572 1124618334 1445937858 1686927501 2249236668 2891875716 3373855002 5060782503 6747710004 10121565006 20243130012