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10213121040 = 243587748523
BaseRepresentation
bin10011000001011111…
…11101110000010000
3222100202210022020020
421200233331300100
5131404024333130
64405234343440
7511043045043
oct114057756020
928322708206
1010213121040
11437104a001
121b9042ab80
13c69bb9ab5
146cc59cc5a
153eb959e10
hex260bfdc10

10213121040 has 80 divisors (see below), whose sum is σ = 31697429568. Its totient is φ = 2720337408.

The previous prime is 10213121029. The next prime is 10213121047. The reversal of 10213121040 is 4012131201.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (10213121047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186219 + ... + 234741.

Almost surely, 210213121040 is an apocalyptic number.

10213121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213121040 is an abundant number, since it is smaller than the sum of its proper divisors (21484308528).

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

10213121040 is a wasteful number, since it uses less digits than its factorization.

10213121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49416 (or 49410 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10213121040 its reverse (4012131201), we get a palindrome (14225252241).

The spelling of 10213121040 in words is "ten billion, two hundred thirteen million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 877 1754 2631 3508 4385 5262 7016 8770 10524 13155 14032 17540 21048 26310 35080 42096 48523 52620 70160 97046 105240 145569 194092 210480 242615 291138 388184 485230 582276 727845 776368 970460 1164552 1455690 1940920 2329104 2911380 3881840 5822760 11645520 42554671 85109342 127664013 170218684 212773355 255328026 340437368 425546710 510656052 638320065 680874736 851093420 1021312104 1276640130 1702186840 2042624208 2553280260 3404373680 5106560520 10213121040