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20123232140 = 22511418326879
BaseRepresentation
bin10010101111011100…
…000010011110001100
31220221102102002222002
4102233130002132030
5312203021412030
613124450411432
71311446436164
oct225734023614
956842362862
1020123232140
118597049170
123a97290b78
131b89093a6b
14d8c8035a4
157cb9ae245
hex4af70278c

20123232140 has 96 divisors (see below), whose sum is σ = 47795650560. Its totient is φ = 7052787200.

The previous prime is 20123232137. The next prime is 20123232167. The reversal of 20123232140 is 4123232102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735221 + ... + 762099.

It is an arithmetic number, because the mean of its divisors is an integer number (497871360).

Almost surely, 220123232140 is an apocalyptic number.

20123232140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23897825280).

20123232140 is an abundant number, since it is smaller than the sum of its proper divisors (27672418420).

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

20123232140 is a wasteful number, since it uses less digits than its factorization.

20123232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27023 (or 27021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20123232140 its reverse (4123232102), we get a palindrome (24246464242).

The spelling of 20123232140 in words is "twenty billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 83 110 164 166 205 220 332 410 415 451 820 830 902 913 1660 1804 1826 2255 3403 3652 4510 4565 6806 9020 9130 13612 17015 18260 26879 34030 37433 53758 68060 74866 107516 134395 149732 187165 268790 295669 374330 537580 591338 748660 1102039 1182676 1478345 2204078 2230957 2956690 4408156 4461914 5510195 5913380 8923828 11020390 11154785 12122429 22040780 22309570 24244858 24540527 44619140 48489716 49081054 60612145 91469237 98162108 121224290 122702635 182938474 242448580 245405270 365876948 457346185 490810540 914692370 1006161607 1829384740 2012323214 4024646428 5030808035 10061616070 20123232140