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101213302032 = 2433534420567
BaseRepresentation
bin101111001000011001…
…0000110110100010000
3100200020201200110202000
41132100302012310100
53124241101131112
6114255144154000
710212105605133
oct1362062066420
9320221613660
10101213302032
1139a192a7957
1217748168900
13970ccb073b
144c8225421a
152975a017dc
hex1790c86d10

101213302032 has 80 divisors (see below), whose sum is σ = 296001233280. Its totient is φ = 33101198208.

The previous prime is 101213302031. The next prime is 101213302049. The reversal of 101213302032 is 230203312101.

101213302032 is a `hidden beast` number, since 10 + 121 + 330 + 203 + 2 = 666.

It is a super-3 number, since 3×1012133020323 (a number of 34 digits) contains 333 as substring.

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 = 101213301996 and 101213302014.

It is not an unprimeable number, because it can be changed into a prime (101213302031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2187388 + ... + 2233179.

It is an arithmetic number, because the mean of its divisors is an integer number (3700015416).

Almost surely, 2101213302032 is an apocalyptic number.

101213302032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101213302032 is an abundant number, since it is smaller than the sum of its proper divisors (194787931248).

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

101213302032 is a wasteful number, since it uses less digits than its factorization.

101213302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420637 (or 4420625 counting only the distinct ones).

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

Adding to 101213302032 its reverse (230203312101), we get a palindrome (331416614133).

The spelling of 101213302032 in words is "one hundred one billion, two hundred thirteen million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 4420567 8841134 13261701 17682268 26523402 35364536 39785103 53046804 70729072 79570206 106093608 119355309 159140412 212187216 234290051 238710618 318280824 468580102 477421236 636561648 702870153 937160204 954842472 1405740306 1874320408 1909684944 2108610459 2811480612 3748640816 4217220918 5622961224 6325831377 8434441836 11245922448 12651662754 16868883672 25303325508 33737767344 50606651016 101213302032