Search a number
-
+
12311021202000 = 243532051836867
BaseRepresentation
bin1011001100100110001000…
…0010111010101001010000
31121120220220020100012110020
42303021202002322221100
53103200432411431000
642103334405503440
72410304403424203
oct263114202725120
947526806305406
1012311021202000
113a17090580304
121469b60111b80
136b3c0295a3a1
14307bdc74d93a
15165387e5aba0
hexb32620baa50

12311021202000 has 80 divisors (see below), whose sum is σ = 39690732374592. Its totient is φ = 3282938985600.

The previous prime is 12311021201977. The next prime is 12311021202001. The reversal of 12311021202000 is 20212011321.

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

It is a super-2 number, since 2×123110212020002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311021202001) 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, 1025912434 + ... + 1025924433.

Almost surely, 212311021202000 is an apocalyptic number.

12311021202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311021202000 is an abundant number, since it is smaller than the sum of its proper divisors (27379711172592).

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

12311021202000 is a wasteful number, since it uses less digits than its factorization.

12311021202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051836893 (or 2051836877 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12311021202000 its reverse (20212011321), we get a palindrome (12331233213321).

The spelling of 12311021202000 in words is "twelve trillion, three hundred eleven billion, twenty-one 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 2051836867 4103673734 6155510601 8207347468 10259184335 12311021202 16414694936 20518368670 24622042404 30777553005 32829389872 41036737340 49244084808 51295921675 61555106010 82073474680 98488169616 102591843350 123110212020 153887765025 164146949360 205183686700 246220424040 256479608375 307775530050 410367373400 492440848080 512959216750 615551060100 769438825125 820734746800 1025918433500 1231102120200 1538877650250 2051836867000 2462204240400 3077755300500 4103673734000 6155510601000 12311021202000