Search a number
-
+
103213051043340 = 223573891968732089
BaseRepresentation
bin10111011101111100101001…
…001111100101111000001100
3111112110001220222201011222210
4113131330221033211320030
5102012020312031341330
61003303230541310420
730511616423322360
oct2735745117457014
9445401828634883
10103213051043340
112a983455612087
12b6ab469b65410
134578c44ac8c64
141b6b7772412a0
15bdec1d11d8b0
hex5ddf293e5e0c

103213051043340 has 192 divisors, whose sum is σ = 331157956147200. Its totient is φ = 23528979339264.

The previous prime is 103213051043339. The next prime is 103213051043363. The reversal of 103213051043340 is 43340150312301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103213051043298 and 103213051043307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3216446016 + ... + 3216478104.

It is an arithmetic number, because the mean of its divisors is an integer number (1724781021600).

Almost surely, 2103213051043340 is an apocalyptic number.

103213051043340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103213051043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165578978073600).

103213051043340 is an abundant number, since it is smaller than the sum of its proper divisors (227944905103860).

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

103213051043340 is a wasteful number, since it uses less digits than its factorization.

103213051043340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52184 (or 52182 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 103213051043340 in words is "one hundred three trillion, two hundred thirteen billion, fifty-one million, forty-three thousand, three hundred forty".