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20132431000 = 23531110118121
BaseRepresentation
bin10010101111111111…
…001000010010011000
31220222001201110102121
4102233333020102120
5312212400243000
613125415511024
71311620561053
oct225777102230
956861643377
1020132431000
1185a1261430
123a9a388474
131b8ac64a86
14d8db19a9a
157cc6c9b1a
hex4affc8498

20132431000 has 128 divisors (see below), whose sum is σ = 51904307520. Its totient is φ = 7248000000.

The previous prime is 20132430977. The next prime is 20132431013. The reversal of 20132431000 is 13423102.

It is a happy number.

It is a super-2 number, since 2×201324310002 (a number of 21 digits) contains 22 as substring.

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, 1101940 + ... + 1120060.

Almost surely, 220132431000 is an apocalyptic number.

20132431000 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 20132431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25952153760).

20132431000 is an abundant number, since it is smaller than the sum of its proper divisors (31771876520).

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

20132431000 is a wasteful number, since it uses less digits than its factorization.

20132431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18254 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20132431000 its reverse (13423102), we get a palindrome (20145854102).

It can be divided in two parts, 201324 and 31000, that added together give a square (232324 = 4822).

The spelling of 20132431000 in words is "twenty billion, one hundred thirty-two million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 18121 20200 22220 25250 27775 36242 44440 50500 55550 72484 90605 101000 111100 138875 144968 181210 199331 222200 277750 362420 398662 453025 555500 724840 797324 906050 996655 1111000 1594648 1812100 1830221 1993310 2265125 3624200 3660442 3986620 4530250 4983275 7320884 7973240 9060500 9151105 9966550 14641768 18121000 18302210 19933100 20132431 24916375 36604420 39866200 40264862 45755525 49832750 73208840 80529724 91511050 99665500 100662155 161059448 183022100 199331000 201324310 228777625 366044200 402648620 457555250 503310775 805297240 915110500 1006621550 1830221000 2013243100 2516553875 4026486200 5033107750 10066215500 20132431000