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2412111104 = 281319371031
BaseRepresentation
bin1000111111000101…
…1110010100000000
320020002210221101022
42033301132110000
514420000023404
61035203525012
7113526414614
oct21761362400
96202727338
102412111104
111028634857
12573989768
132c59693a0
1418c4d3344
15e1b698be
hex8fc5e500

2412111104 has 144 divisors (see below), whose sum is σ = 5611025280. Its totient is φ = 1025187840.

The previous prime is 2412111103. The next prime is 2412111133. The reversal of 2412111104 is 4011112142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412111103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2339069 + ... + 2340099.

Almost surely, 22412111104 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 2412111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805512640).

2412111104 is an abundant number, since it is smaller than the sum of its proper divisors (3198914176).

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

2412111104 is a wasteful number, since it uses less digits than its factorization.

2412111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 2412111104 is about 49113.2477443714. The cubic root of 2412111104 is about 1341.1142258465.

Adding to 2412111104 its reverse (4011112142), we get a palindrome (6423223246).

The spelling of 2412111104 in words is "two billion, four hundred twelve million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 64 74 76 104 128 148 152 208 247 256 296 304 416 481 494 592 608 703 832 962 988 1031 1184 1216 1406 1664 1924 1976 2062 2368 2432 2812 3328 3848 3952 4124 4736 4864 5624 7696 7904 8248 9139 9472 11248 13403 15392 15808 16496 18278 19589 22496 26806 30784 31616 32992 36556 38147 39178 44992 53612 61568 63232 65984 73112 76294 78356 89984 107224 123136 131968 146224 152588 156712 179968 214448 254657 263936 292448 305176 313424 428896 495911 509314 584896 610352 626848 724793 857792 991822 1018628 1169792 1220704 1253696 1449586 1715584 1983644 2037256 2339584 2441408 2507392 2899172 3431168 3967288 4074512 4882816 5014784 5798344 7934576 8149024 9422309 9765632 11596688 15869152 16298048 18844618 23193376 31738304 32596096 37689236 46386752 63476608 65192192 75378472 92773504 126953216 150756944 185547008 301513888 603027776 1206055552 2412111104