Search a number
-
+
231123320202000 = 2435338520553367
BaseRepresentation
bin110100100011010010010111…
…011001100110001100010000
31010022100011200120110120221110
4310203102113121212030100
5220243211024432431000
62135320330523053320
766453052222130502
oct6443222731461420
91108304616416843
10231123320202000
1167708938977306
1221b092b8371240
139bc6ab29b7695
1441105dd6b7d72
151bac0abcc8850
hexd23497666310

231123320202000 has 80 divisors (see below), whose sum is σ = 745141584350592. Its totient is φ = 61632885385600.

The previous prime is 231123320201993. The next prime is 231123320202007. The reversal of 231123320202000 is 202023321132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231123320201993) and next prime (231123320202007).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (231123320202007) 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, 19260270684 + ... + 19260282683.

Almost surely, 2231123320202000 is an apocalyptic number.

231123320202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231123320202000 is an abundant number, since it is smaller than the sum of its proper divisors (514018264148592).

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

231123320202000 is a wasteful number, since it uses less digits than its factorization.

231123320202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38520553393 (or 38520553377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 231123320202000 its reverse (202023321132), we get a palindrome (231325343523132).

The spelling of 231123320202000 in words is "two hundred thirty-one trillion, one hundred twenty-three billion, three hundred twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 38520553367 77041106734 115561660101 154082213468 192602766835 231123320202 308164426936 385205533670 462246640404 577808300505 616328853872 770411067340 924493280808 963013834175 1155616601010 1540822134680 1848986561616 1926027668350 2311233202020 2889041502525 3081644269360 3852055336700 4622466404040 4815069170875 5778083005050 7704110673400 9244932808080 9630138341750 11556166010100 14445207512625 15408221346800 19260276683500 23112332020200 28890415025250 38520553367000 46224664040400 57780830050500 77041106734000 115561660101000 231123320202000