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10214031240 = 2332574053187
BaseRepresentation
bin10011000001100110…
…11011111110001000
3222100211111112210100
421200303123332020
5131404242444430
64405310045400
7511053555510
oct114063337610
928324445710
1010214031240
114371610936
121b907a9860
13c6a14818a
146cc758840
153eba89960
hex260cdbf88

10214031240 has 96 divisors (see below), whose sum is σ = 37937839680. Its totient is φ = 2334635136.

The previous prime is 10214031193. The next prime is 10214031251. The reversal of 10214031240 is 4213041201.

10214031240 is a `hidden beast` number, since 1 + 0 + 21 + 403 + 1 + 240 = 666.

10214031240 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 (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2024074 + ... + 2029113.

It is an arithmetic number, because the mean of its divisors is an integer number (395185830).

Almost surely, 210214031240 is an apocalyptic number.

10214031240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214031240 is an abundant number, since it is smaller than the sum of its proper divisors (27723808440).

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

10214031240 is a wasteful number, since it uses less digits than its factorization.

10214031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053211 (or 4053204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10214031240 its reverse (4213041201), we get a palindrome (14427072441).

The spelling of 10214031240 in words is "ten billion, two hundred fourteen million, thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4053187 8106374 12159561 16212748 20265935 24319122 28372309 32425496 36478683 40531870 48638244 56744618 60797805 72957366 81063740 85116927 97276488 113489236 121595610 141861545 145914732 162127480 170233854 182393415 226978472 243191220 255350781 283723090 291829464 340467708 364786830 425584635 486382440 510701562 567446180 680935416 729573660 851169270 1021403124 1134892360 1276753905 1459147320 1702338540 2042806248 2553507810 3404677080 5107015620 10214031240