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141130224020 = 22573122978653
BaseRepresentation
bin1000001101110000000…
…1000101000110010100
3111111021121102012122002
42003130001011012110
54303013314132040
6144500114254432
713124224053032
oct2033401050624
9444247365562
10141130224020
1154942372185
1223428287418
1310401a958c6
146b8b797552
153a10077a15
hex20dc045194

141130224020 has 48 divisors (see below), whose sum is σ = 300681657360. Its totient is φ = 55632761856.

The previous prime is 141130223999. The next prime is 141130224043. The reversal of 141130224020 is 20422031141.

It can be written as a sum of positive squares in 8 ways, for example, as 39691795984 + 101438428036 = 199228^2 + 318494^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141130223983 and 141130224001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755014 + ... + 1833666.

It is an arithmetic number, because the mean of its divisors is an integer number (6264201195).

Almost surely, 2141130224020 is an apocalyptic number.

141130224020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141130224020 is an abundant number, since it is smaller than the sum of its proper divisors (159551433340).

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

141130224020 is a wasteful number, since it uses less digits than its factorization.

141130224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79964 (or 79962 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 141130224020 its reverse (20422031141), we get a palindrome (161552255161).

The spelling of 141130224020 in words is "one hundred forty-one billion, one hundred thirty million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1229 1460 2458 4916 6145 12290 24580 78653 89717 157306 179434 314612 358868 393265 448585 786530 897170 1573060 1794340 5741669 11483338 22966676 28708345 57416690 96664537 114833380 193329074 386658148 483322685 966645370 1933290740 7056511201 14113022402 28226044804 35282556005 70565112010 141130224020