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1013302210032 = 243275717175837
BaseRepresentation
bin11101011111011011000…
…01001010110111110000
310120212111202212201011200
432233231201022313300
5113100220331210112
62053300555011200
7133131400446330
oct16575541126760
93525452781150
101013302210032
11360814754202
12144474a39b00
1374728160238
1437088d9d0c0
151b5594b1cdc
hexebed84adf0

1013302210032 has 120 divisors (see below), whose sum is σ = 3241543989216. Its totient is φ = 289462629888.

The previous prime is 1013302210013. The next prime is 1013302210033. The reversal of 1013302210032 is 2300122033101.

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 = 1013302209987 and 1013302210014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013302210033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5674818 + ... + 5850654.

Almost surely, 21013302210032 is an apocalyptic number.

1013302210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013302210032 is an abundant number, since it is smaller than the sum of its proper divisors (2228241779184).

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

1013302210032 is a wasteful number, since it uses less digits than its factorization.

1013302210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181575 (or 181566 counting only the distinct ones).

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

Adding to 1013302210032 its reverse (2300122033101), we get a palindrome (3313424243133).

The spelling of 1013302210032 in words is "one trillion, thirteen billion, three hundred two million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 5717 11434 17151 22868 34302 40019 45736 51453 68604 80038 91472 102906 120057 137208 160076 175837 205812 240114 274416 320152 351674 360171 411624 480228 527511 640304 703348 720342 823248 960456 1055022 1230859 1406696 1440684 1582533 1920912 2110044 2461718 2813392 2881368 3165066 3692577 4220088 4923436 5762736 6330132 7385154 8440176 9846872 11077731 12660264 14770308 19693744 22155462 25320528 29540616 44310924 59081232 88621848 177243696 1005260129 2010520258 3015780387 4021040516 6031560774 7036820903 8042081032 9047341161 12063121548 14073641806 16084162064 18094682322 21110462709 24126243096 28147283612 36189364644 42220925418 48252486192 56294567224 63331388127 72378729288 84441850836 112589134448 126662776254 144757458576 168883701672 253325552508 337767403344 506651105016 1013302210032