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141321220 = 225431011627
BaseRepresentation
bin10000110110001…
…10010000000100
3100211220212021021
420123012100010
5242134234340
622005000524
73334132135
oct1033062004
9324825237
10141321220
11728547a7
123b3b3144
1323380831
1414aa9c8c
15c617e4a
hex86c6404

141321220 has 48 divisors (see below), whose sum is σ = 306871488. Its totient is φ = 54633600.

The previous prime is 141321217. The next prime is 141321233. The reversal of 141321220 is 22123141.

It is a junction number, because it is equal to n+sod(n) for n = 141321194 and 141321203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86047 + ... + 87673.

It is an arithmetic number, because the mean of its divisors is an integer number (6393156).

Almost surely, 2141321220 is an apocalyptic number.

141321220 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 141321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153435744).

141321220 is an abundant number, since it is smaller than the sum of its proper divisors (165550268).

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

141321220 is a wasteful number, since it uses less digits than its factorization.

141321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1778 counting only the distinct ones).

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

The square root of 141321220 is about 11887.8601943327. The cubic root of 141321220 is about 520.8777335731.

Adding to 141321220 its reverse (22123141), we get a palindrome (163444361).

The spelling of 141321220 in words is "one hundred forty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 505 860 1010 1627 2020 3254 4343 6508 8135 8686 16270 17372 21715 32540 43430 69961 86860 139922 164327 279844 328654 349805 657308 699610 821635 1399220 1643270 3286540 7066061 14132122 28264244 35330305 70660610 141321220