Search a number
-
+
10210212310140 = 22325411383497603
BaseRepresentation
bin1001010010010100000000…
…0100111110110001111100
31100011002100020210001012200
42110211000010332301330
52314241003322411030
633414301244231500
72102443402451253
oct224450004766174
940132306701180
1010210212310140
11328714373aa57
12118a98353b590
13590a8513c35b
1427426963b79a
1512a8cec11d60
hex9494013ec7c

10210212310140 has 72 divisors (see below), whose sum is σ = 31726367054928. Its totient is φ = 2656315395840.

The previous prime is 10210212310139. The next prime is 10210212310141. The reversal of 10210212310140 is 4101321201201.

10210212310140 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 212 + 310 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (10210212310139) and next prime (10210212310141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210212310141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 691741422 + ... + 691756181.

It is an arithmetic number, because the mean of its divisors is an integer number (440643986874).

Almost surely, 210210212310140 is an apocalyptic number.

10210212310140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210212310140 is an abundant number, since it is smaller than the sum of its proper divisors (21516154744788).

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

10210212310140 is a wasteful number, since it uses less digits than its factorization.

10210212310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383497659 (or 1383497654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10210212310140 its reverse (4101321201201), we get a palindrome (14311533511341).

The spelling of 10210212310140 in words is "ten trillion, two hundred ten billion, two hundred twelve million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 1383497603 2766995206 4150492809 5533990412 6917488015 8300985618 12451478427 13834976030 16601971236 20752464045 24902956854 27669952060 41504928090 49805913708 56723401723 62257392135 83009856180 113446803446 124514784270 170170205169 226893606892 249029568540 283617008615 340340410338 510510615507 567234017230 680680820676 850851025845 1021021231014 1134468034460 1701702051690 2042042462028 2552553077535 3403404103380 5105106155070 10210212310140