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141013420 = 22531792879
BaseRepresentation
bin10000110011110…
…11000110101100
3100211100020001021
420121323012230
5242044412140
621554223524
73331410562
oct1031730654
9324306037
10141013420
1172664519
123b284ba4
13232a36c2
1414a29a32
15c5a6b4a
hex867b1ac

141013420 has 48 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 53876160.

The previous prime is 141013417. The next prime is 141013423. The reversal of 141013420 is 24310141.

141013420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141013417) and next prime (141013423).

It is a junction number, because it is equal to n+sod(n) for n = 141013394 and 141013403.

It is not an unprimeable number, because it can be changed into a prime (141013423) 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, 47541 + ... + 50419.

It is an arithmetic number, because the mean of its divisors is an integer number (6451200).

Almost surely, 2141013420 is an apocalyptic number.

141013420 is a gapful number since it is divisible by the number (10) 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 141013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

141013420 is an abundant number, since it is smaller than the sum of its proper divisors (168644180).

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

141013420 is a wasteful number, since it uses less digits than its factorization.

141013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 141013420 is about 11874.9071575318. The cubic root of 141013420 is about 520.4992985319.

Adding to 141013420 its reverse (24310141), we get a palindrome (165323561).

The spelling of 141013420 in words is "one hundred forty-one million, thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1580 2449 2879 4898 5758 9796 11516 12245 14395 24490 28790 48980 57580 89249 178498 227441 356996 446245 454882 892490 909764 1137205 1784980 2274410 4548820 7050671 14101342 28202684 35253355 70506710 141013420