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116065012401 = 33132341350657
BaseRepresentation
bin110110000011000000…
…0111000101010110001
3102002120202210112022000
41230012000320222301
53400200120344101
6125153004004213
711246125220232
oct1540600705261
9362522715260
10116065012401
114524a745758
121a5b1b30669
13ac38ba9240
1458908b7089
1530447c3486
hex1b06038ab1

116065012401 has 64 divisors (see below), whose sum is σ = 197939427840. Its totient is φ = 66652692480.

The previous prime is 116065012387. The next prime is 116065012409. The reversal of 116065012401 is 104210560611.

116065012401 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 650 + 1 + 2 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 116065012401 - 211 = 116065010353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116065012409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155665 + ... + 506321.

It is an arithmetic number, because the mean of its divisors is an integer number (3092803560).

Almost surely, 2116065012401 is an apocalyptic number.

It is an amenable number.

116065012401 is a deficient number, since it is larger than the sum of its proper divisors (81874415439).

116065012401 is a wasteful number, since it uses less digits than its factorization.

116065012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350743 (or 350737 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 116065012401 in words is "one hundred sixteen billion, sixty-five million, twelve thousand, four hundred one".

Divisors: 1 3 9 13 23 27 39 41 69 117 123 207 299 351 369 533 621 897 943 1107 1599 2691 2829 4797 8073 8487 12259 14391 25461 36777 110331 330993 350657 1051971 3155913 4558541 8065111 9467739 13675623 14376937 24195333 41026869 43130811 72585999 104846443 123080607 129392433 186900181 217757997 314539329 330669551 388177299 560700543 943617987 992008653 1682101629 2830853961 2976025959 4298704163 5046304887 8928077877 12896112489 38688337467 116065012401