Search a number
-
+
141302112 = 2537375683
BaseRepresentation
bin10000110110000…
…01100101100000
3100211212220001120
420123001211200
5242133131422
622004332240
73334022340
oct1033014540
9324786046
10141302112
1172841406
123b3a4080
1323374c23
1414aa2d20
15c61245c
hex86c1960

141302112 has 96 divisors (see below), whose sum is σ = 435439872. Its totient is φ = 39273984.

The previous prime is 141302111. The next prime is 141302137. The reversal of 141302112 is 211203141.

141302112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 141302091 and 141302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141302111) 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, 22023 + ... + 27705.

It is an arithmetic number, because the mean of its divisors is an integer number (4535832).

Almost surely, 2141302112 is an apocalyptic number.

141302112 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 141302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217719936).

141302112 is an abundant number, since it is smaller than the sum of its proper divisors (294137760).

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

141302112 is a wasteful number, since it uses less digits than its factorization.

141302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5732 counting only the distinct ones).

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

The square root of 141302112 is about 11887.0564901493. The cubic root of 141302112 is about 520.8542566073.

Adding to 141302112 its reverse (211203141), we get a palindrome (352505253).

It can be divided in two parts, 141 and 302112, that added together give a triangular number (302253 = T777).

The spelling of 141302112 in words is "one hundred forty-one million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 5683 6216 8288 11366 12432 17049 22732 24864 34098 39781 45464 68196 79562 90928 119343 136392 159124 181856 210271 238686 272784 318248 420542 477372 545568 630813 636496 841084 954744 1261626 1272992 1471897 1682168 1909488 2523252 2943794 3364336 3818976 4415691 5046504 5887588 6728672 8831382 10093008 11775176 17662764 20186016 23550352 35325528 47100704 70651056 141302112