Search a number
-
+
311442421020 = 2235112313213499
BaseRepresentation
bin1001000100000110110…
…10100011010100011100
31002202212221212020112020
410202003122203110130
520100313224433040
6355024043540140
731333555620363
oct4420332432434
91082787766466
10311442421020
1111009a1445a5
125043952a650
13234a45cb333
1411106a9a7da
15817bee0cd0
hex48836a351c

311442421020 has 96 divisors (see below), whose sum is σ = 873725664000. Its totient is φ = 82890846720.

The previous prime is 311442421019. The next prime is 311442421057. The reversal of 311442421020 is 20124244113.

It is a super-2 number, since 2×3114424210202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89007231 + ... + 89010729.

It is an arithmetic number, because the mean of its divisors is an integer number (9101309000).

Almost surely, 2311442421020 is an apocalyptic number.

311442421020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311442421020 is an abundant number, since it is smaller than the sum of its proper divisors (562283242980).

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

311442421020 is a wasteful number, since it uses less digits than its factorization.

311442421020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 311442421020 its reverse (20124244113), we get a palindrome (331566665133).

The spelling of 311442421020 in words is "three hundred eleven billion, four hundred forty-two million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1123 1321 2246 2642 3369 3499 3963 4492 5284 5615 6605 6738 6998 7926 10497 11230 13210 13476 13996 15852 16845 17495 19815 20994 22460 26420 33690 34990 39630 41988 52485 67380 69980 79260 104970 209940 1483483 2966966 3929377 4450449 4622179 5933932 7417415 7858754 8900898 9244358 11788131 13866537 14834830 15717508 17801796 18488716 19646885 22252245 23110895 23576262 27733074 29669660 39293770 44504490 46221790 47152524 55466148 58940655 69332685 78587540 89008980 92443580 117881310 138665370 235762620 277330740 5190707017 10381414034 15572121051 20762828068 25953535085 31144242102 51907070170 62288484204 77860605255 103814140340 155721210510 311442421020