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141102312 = 233131737719
BaseRepresentation
bin10000110100100…
…00110011101000
3100211111201222120
420122100303220
5242110233222
622000151240
73332231001
oct1032206350
9324451876
10141102312
117271528a
123b308520
1323304cc0
1414a501a8
15c5c315c
hex8690ce8

141102312 has 128 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 39702528.

The previous prime is 141102301. The next prime is 141102317. The reversal of 141102312 is 213201141.

It is a junction number, because it is equal to n+sod(n) for n = 141102291 and 141102300.

It is not an unprimeable number, because it can be changed into a prime (141102317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195889 + ... + 196607.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2141102312 is an apocalyptic number.

141102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

141102312 is an abundant number, since it is smaller than the sum of its proper divisors (272580888).

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

141102312 is a wasteful number, since it uses less digits than its factorization.

141102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

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

The square root of 141102312 is about 11878.6494181788. The cubic root of 141102312 is about 520.6086462920.

Adding to 141102312 its reverse (213201141), we get a palindrome (354303453).

The spelling of 141102312 in words is "one hundred forty-one million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 102 104 111 136 148 156 204 221 222 296 312 408 442 444 481 629 663 719 884 888 962 1258 1326 1438 1443 1768 1887 1924 2157 2516 2652 2876 2886 3774 3848 4314 5032 5304 5752 5772 7548 8177 8628 9347 11544 12223 15096 16354 17256 18694 24446 24531 26603 28041 32708 36669 37388 48892 49062 53206 56082 65416 73338 74776 79809 97784 98124 106412 112164 146676 158899 159618 196248 212824 224328 293352 317798 319236 345839 452251 476697 635596 638472 691678 904502 953394 1037517 1271192 1356753 1383356 1809004 1906788 2075034 2713506 2766712 3618008 3813576 4150068 5427012 5879263 8300136 10854024 11758526 17637789 23517052 35275578 47034104 70551156 141102312