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10141021000 = 235311921911
BaseRepresentation
bin10010111000111001…
…11011001101001000
3222011202010020120101
421130130323031020
5131232100133000
64354141135144
7506206153615
oct113434731510
928152106511
1010141021000
1143343841a0
121b7025a4b4
13c57c94456
146c2b9150c
153e5466e6a
hex25c73b348

10141021000 has 64 divisors (see below), whose sum is σ = 25887288960. Its totient is φ = 3687640000.

The previous prime is 10141020997. The next prime is 10141021001. The reversal of 10141021000 is 12014101.

10141021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10141021001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449956 + ... + 471955.

It is an arithmetic number, because the mean of its divisors is an integer number (404488890).

Almost surely, 210141021000 is an apocalyptic number.

10141021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141021000 is an abundant number, since it is smaller than the sum of its proper divisors (15746267960).

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

10141021000 is a wasteful number, since it uses less digits than its factorization.

10141021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921943 (or 921929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10141021000 its reverse (12014101), we get a palindrome (10153035101).

The spelling of 10141021000 in words is "ten billion, one hundred forty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 921911 1843822 3687644 4609555 7375288 9219110 10141021 18438220 20282042 23047775 36876440 40564084 46095550 50705105 81128168 92191100 101410210 115238875 184382200 202820420 230477750 253525525 405640840 460955500 507051050 921911000 1014102100 1267627625 2028204200 2535255250 5070510500 10141021000