Search a number
-
+
100320121303192 = 23737178927063749
BaseRepresentation
bin10110110011110110011001…
…001100011011000010011000
3111011012111202202000122222101
4112303312121030123002120
5101122121102023200232
6553210232201133144
730062614061261260
oct2663663114330230
9434174682018871
10100320121303192
1129a6858515436a
12b30286578a1b4
1343c91ba8115cb
141aab73c3b47a0
15b8e8536ab1e7
hex5b3d9931b098

100320121303192 has 64 divisors (see below), whose sum is σ = 220905153000000. Its totient is φ = 41808943950336.

The previous prime is 100320121303169. The next prime is 100320121303253. The reversal of 100320121303192 is 291303121023001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 100320121303192.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9825067 + ... + 17238682.

It is an arithmetic number, because the mean of its divisors is an integer number (3451643015625).

Almost surely, 2100320121303192 is an apocalyptic number.

It is an amenable number.

100320121303192 is an abundant number, since it is smaller than the sum of its proper divisors (120585031696808).

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

100320121303192 is a wasteful number, since it uses less digits than its factorization.

100320121303192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27065588 (or 27065584 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 100320121303192 its reverse (291303121023001), we get a palindrome (391623242326193).

The spelling of 100320121303192 in words is "one hundred trillion, three hundred twenty billion, one hundred twenty-one million, three hundred three thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1789 2072 3578 7156 12523 14312 25046 50092 66193 100184 132386 264772 463351 529544 926702 1853404 3706808 27063749 54127498 108254996 189446243 216509992 378892486 757784972 1001358713 1515569944 2002717426 4005434852 7009510991 8010869704 14019021982 28038043964 48417046961 56076087928 96834093922 193668187844 338919328727 387336375688 677838657454 1355677314908 1791430737557 2711354629816 3582861475114 7165722950228 12540015162899 14331445900456 25080030325798 50160060651596 100320121303192