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31020323130 = 23251729369197
BaseRepresentation
bin11100111000111101…
…001001000100111010
32222001212012200120200
4130320331021010322
51002012200320010
622130041103030
72145466252566
oct347075110472
988055180520
1031020323130
1112179188995
126018787a76
132c048997b4
141703b666a6
15c184c1cc0
hex738f4913a

31020323130 has 96 divisors (see below), whose sum is σ = 85689820944. Its totient is φ = 7758809088.

The previous prime is 31020323069. The next prime is 31020323141. The reversal of 31020323130 is 3132302013.

31020323130 is a `hidden beast` number, since 310 + 2 + 0 + 323 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29593976841 + 1426346289 = 172029^2 + 37767^2 .

It is a super-2 number, since 2×310203231302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413692 + ... + 482888.

Almost surely, 231020323130 is an apocalyptic number.

31020323130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42844910472).

31020323130 is an abundant number, since it is smaller than the sum of its proper divisors (54669497814).

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

31020323130 is a wasteful number, since it uses less digits than its factorization.

31020323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69520 (or 69517 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31020323130 its reverse (3132302013), we get a palindrome (34152625143).

It can be divided in two parts, 310203 and 23130, that added together give a palindrome (333333).

The spelling of 31020323130 in words is "thirty-one billion, twenty million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 293 306 510 586 765 879 1465 1530 1758 2637 2930 4395 4981 5274 8790 9962 13185 14943 24905 26370 29886 44829 49810 69197 74715 89658 138394 149430 207591 224145 345985 415182 448290 622773 691970 1037955 1176349 1245546 2075910 2352698 3113865 3529047 5881745 6227730 7058094 10587141 11763490 17645235 20274721 21174282 35290470 40549442 52935705 60824163 101373605 105871410 121648326 182472489 202747210 304120815 344670257 364944978 608241630 689340514 912362445 1034010771 1723351285 1824724890 2068021542 3102032313 3446702570 5170053855 6204064626 10340107710 15510161565 31020323130