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10510152000 = 26353437923
BaseRepresentation
bin10011100100111010…
…00011000101000000
31000010110201001002220
421302131003011000
5133011044331000
64454525011040
7521310550365
oct116235030500
930113631086
1010510152000
114503785837
1220539b3a80
13cb65b836a
14719bdc46c
15417a7e1a0
hex272743140

10510152000 has 112 divisors (see below), whose sum is σ = 34704601152. Its totient is φ = 2802700800.

The previous prime is 10510151959. The next prime is 10510152001. The reversal of 10510152000 is 25101501.

It is a super-2 number, since 2×105101520002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194962 + ... + 242961.

Almost surely, 210510152000 is an apocalyptic number.

10510152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510152000 is an abundant number, since it is smaller than the sum of its proper divisors (24194449152).

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

10510152000 is an equidigital number, since it uses as much as digits as its factorization.

10510152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437953 (or 437933 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 10510152000 its reverse (25101501), we get a palindrome (10535253501).

The spelling of 10510152000 in words is "ten billion, five hundred ten million, one hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 437923 875846 1313769 1751692 2189615 2627538 3503384 4379230 5255076 6568845 7006768 8758460 10510152 10948075 13137690 14013536 17516920 21020304 21896150 26275380 28027072 32844225 35033840 42040608 43792300 52550760 54740375 65688450 70067680 84081216 87584600 105101520 109480750 131376900 140135360 164221125 175169200 210203040 218961500 262753800 328442250 350338400 420406080 437923000 525507600 656884500 700676800 875846000 1051015200 1313769000 1751692000 2102030400 2627538000 3503384000 5255076000 10510152000