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10133124140 = 2253728148731
BaseRepresentation
bin10010110111111101…
…10011010000101100
3222011012021001010002
421123332303100230
5131223034433030
64353300003432
7506052063656
oct113376632054
928135231102
1010133124140
11432a980167
121b69690578
13c5645ac59
146c1ad76d6
153e4907245
hex25bfb342c

10133124140 has 48 divisors (see below), whose sum is σ = 21932908704. Its totient is φ = 3929587200.

The previous prime is 10133124121. The next prime is 10133124173. The reversal of 10133124140 is 4142133101.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183575 + ... + 232305.

It is an arithmetic number, because the mean of its divisors is an integer number (456935598).

Almost surely, 210133124140 is an apocalyptic number.

10133124140 is a gapful number since it is divisible by the number (10) 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 10133124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966454352).

10133124140 is an abundant number, since it is smaller than the sum of its proper divisors (11799784564).

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

10133124140 is a wasteful number, since it uses less digits than its factorization.

10133124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49058 (or 49056 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10133124140 its reverse (4142133101), we get a palindrome (14275257241).

The spelling of 10133124140 in words is "ten billion, one hundred thirty-three million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 281 370 562 740 1124 1405 2810 5620 10397 20794 41588 48731 51985 97462 103970 194924 207940 243655 487310 974620 1803047 3606094 7212188 9015235 13693411 18030470 27386822 36060940 54773644 68467055 136934110 273868220 506656207 1013312414 2026624828 2533281035 5066562070 10133124140