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10130401242 = 23613534473
BaseRepresentation
bin10010110111101000…
…11010011111011010
3222011000010201000000
421123310122133122
5131221340314432
64353121353430
7506016663333
oct113364323732
928130121000
1010130401242
114329390435
121b68798876
13c55a16780
146c15c928a
153e456a57c
hex25bd1a7da

10130401242 has 56 divisors (see below), whose sum is σ = 24535563444. Its totient is φ = 3117040704.

The previous prime is 10130401231. The next prime is 10130401243. The reversal of 10130401242 is 24210403101.

10130401242 is a `hidden beast` number, since 10 + 13 + 0 + 401 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10017807921 + 112593321 = 100089^2 + 10611^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10130401243) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 248283 + ... + 286190.

Almost surely, 210130401242 is an apocalyptic number.

10130401242 is an abundant number, since it is smaller than the sum of its proper divisors (14405162202).

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

10130401242 is an equidigital number, since it uses as much as digits as its factorization.

10130401242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534506 (or 534491 counting only the distinct ones).

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

Adding to 10130401242 its reverse (24210403101), we get a palindrome (34340804343).

The spelling of 10130401242 in words is "ten billion, one hundred thirty million, four hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 9477 18954 534473 1068946 1603419 3206838 4810257 6948149 9620514 13896298 14430771 20844447 28861542 41688894 43292313 62533341 86584626 125066682 129876939 187600023 259753878 375200046 389630817 562800069 779261634 1125600138 1688400207 3376800414 5065200621 10130401242