Search a number
-
+
2301031012032 = 2635147957241
BaseRepresentation
bin100001011111000000001…
…000101101011011000000
322010222100210210201100000
4201133000020231123000
5300200002414341112
64521025024200000
7325146456613404
oct41370010553300
98128323721300
102301031012032
11807953022745
12311b56769000
13138ca8b6a96c
147d5288d3104
153ecc5e467dc
hex217c022d6c0

2301031012032 has 84 divisors (see below), whose sum is σ = 6839767383176. Its totient is φ = 767010332160.

The previous prime is 2301031012019. The next prime is 2301031012037. The reversal of 2301031012032 is 2302101301032.

2301031012032 is a `hidden beast` number, since 2 + 301 + 0 + 310 + 1 + 20 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2301031011996 and 2301031012014.

It is not an unprimeable number, because it can be changed into a prime (2301031012037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73963069 + ... + 73994172.

Almost surely, 22301031012032 is an apocalyptic number.

It is an amenable number.

2301031012032 is an abundant number, since it is smaller than the sum of its proper divisors (4538736371144).

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

2301031012032 is an equidigital number, since it uses as much as digits as its factorization.

2301031012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147957268 (or 147957246 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2301031012032 its reverse (2302101301032), we get a palindrome (4603132313064).

The spelling of 2301031012032 in words is "two trillion, three hundred one billion, thirty-one million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 147957241 295914482 443871723 591828964 887743446 1183657928 1331615169 1775486892 2367315856 2663230338 3550973784 3994845507 4734631712 5326460676 7101947568 7989691014 9469263424 10652921352 11984536521 14203895136 15979382028 21305842704 23969073042 28407790272 31958764056 35953609563 42611685408 47938146084 63917528112 71907219126 85223370816 95876292168 127835056224 143814438252 191752584336 255670112448 287628876504 383505168672 575257753008 767010337344 1150515506016 2301031012032