Search a number
-
+
512712198100 = 225223222918347
BaseRepresentation
bin1110111011000000000…
…01110100011111010100
31211000101210110021201101
413131200001310133110
531400013310314400
61031311533435444
752020325530364
oct7354001643724
91730353407641
10512712198100
11188492740043
128344a33bb84
133946ba02b9b
141ab5b6729a4
15d50bb8556a
hex77600747d4

512712198100 has 36 divisors (see below), whose sum is σ = 1160958756384. Its totient is φ = 196168144480.

The previous prime is 512712198091. The next prime is 512712198109. The reversal of 512712198100 is 1891217215.

It is an interprime number because it is at equal distance from previous prime (512712198091) and next prime (512712198109).

It is a super-2 number, since 2×5127121981002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 512712198100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512712198109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111456874 + ... + 111461473.

It is an arithmetic number, because the mean of its divisors is an integer number (32248854344).

Almost surely, 2512712198100 is an apocalyptic number.

512712198100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512712198100 is an abundant number, since it is smaller than the sum of its proper divisors (648246558284).

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

512712198100 is a wasteful number, since it uses less digits than its factorization.

512712198100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222918384 (or 222918377 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 37.

The spelling of 512712198100 in words is "five hundred twelve billion, seven hundred twelve million, one hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 222918347 445836694 891673388 1114591735 2229183470 4458366940 5127121981 5572958675 10254243962 11145917350 20508487924 22291834700 25635609905 51271219810 102542439620 128178049525 256356099050 512712198100