Search a number
-
+
103313200331000 = 2353119392109121
BaseRepresentation
bin10111011111011001111010…
…100110110011100011111000
3111112210122102120021010102002
4113133121322212303203320
5102020140413241043000
61003421232400200132
730522063262243022
oct2737317246634370
9445718376233362
10103313200331000
112aa11978243210
12b706959909048
13458551551829a
141b72558043012
15be26304e68d5
hex5df67a9b38f8

103313200331000 has 64 divisors (see below), whose sum is σ = 263730424145760. Its totient is φ = 37568436480000.

The previous prime is 103313200330997. The next prime is 103313200331021. The reversal of 103313200331000 is 133002313301.

It is a super-2 number, since 2×1033132003310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4696043561 + ... + 4696065560.

Almost surely, 2103313200331000 is an apocalyptic number.

103313200331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313200331000 is an abundant number, since it is smaller than the sum of its proper divisors (160417223814760).

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

103313200331000 is a wasteful number, since it uses less digits than its factorization.

103313200331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392109153 (or 9392109139 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103313200331000 its reverse (133002313301), we get a palindrome (103446202644301).

The spelling of 103313200331000 in words is "one hundred three trillion, three hundred thirteen billion, two hundred million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 9392109121 18784218242 37568436484 46960545605 75136872968 93921091210 103313200331 187842182420 206626400662 234802728025 375684364840 413252801324 469605456050 516566001655 826505602648 939210912100 1033132003310 1174013640125 1878421824200 2066264006620 2348027280250 2582830008275 4132528013240 4696054560500 5165660016550 9392109121000 10331320033100 12914150041375 20662640066200 25828300082750 51656600165500 103313200331000