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10100051024 = 247372437271
BaseRepresentation
bin10010110100000001…
…01000110001010000
3222001220000202022212
421122000220301100
5131141103113044
64350115051252
7505201005620
oct113200506120
928056022285
1010100051024
114313240908
121b5a5a0b28
13c4c64b26b
146bb568880
153e1a72a9e
hex25a028c50

10100051024 has 40 divisors (see below), whose sum is σ = 22968851328. Its totient is φ = 4211602560.

The previous prime is 10100051021. The next prime is 10100051029. The reversal of 10100051024 is 42015000101.

It is a super-2 number, since 2×101000510242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100051021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214492 + ... + 1222779.

Almost surely, 210100051024 is an apocalyptic number.

10100051024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10100051024 is an abundant number, since it is smaller than the sum of its proper divisors (12868800304).

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

10100051024 is a wasteful number, since it uses less digits than its factorization.

10100051024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437323 (or 2437317 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10100051024 its reverse (42015000101), we get a palindrome (52115051125).

The spelling of 10100051024 in words is "ten billion, one hundred million, fifty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 2437271 4874542 9749084 17060897 19498168 34121794 38996336 68243588 90179027 136487176 180358054 272974352 360716108 631253189 721432216 1262506378 1442864432 2525012756 5050025512 10100051024