Search a number
-
+
31023330030 = 23257114476671
BaseRepresentation
bin11100111001001000…
…100111001011101110
32222002001212110021100
4130321020213023232
51002013433030110
622130225343530
72145533645220
oct347110471356
988061773240
1031023330030
111217a952030
126019797ba6
132c053b0324
14170430a410
15c188b7bc0
hex7392272ee

31023330030 has 96 divisors (see below), whose sum is σ = 100563959808. Its totient is φ = 6446404800.

The previous prime is 31023329993. The next prime is 31023330043. The reversal of 31023330030 is 3003332013.

31023330030 is a `hidden beast` number, since 310 + 23 + 3 + 300 + 30 = 666.

It is a super-3 number, since 3×310233300303 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31023329985 and 31023330012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231406 + ... + 2245265.

It is an arithmetic number, because the mean of its divisors is an integer number (1047541248).

Almost surely, 231023330030 is an apocalyptic number.

31023330030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31023330030 is an abundant number, since it is smaller than the sum of its proper divisors (69540629778).

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

31023330030 is a wasteful number, since it uses less digits than its factorization.

31023330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476702 (or 4476699 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 31023330030 its reverse (3003332013), we get a palindrome (34026662043).

The spelling of 31023330030 in words is "thirty-one billion, twenty-three million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 4476671 8953342 13430013 22383355 26860026 31336697 40290039 44766710 49243381 62673394 67150065 80580078 94010091 98486762 134300130 147730143 156683485 188020182 201450195 246216905 282030273 295460286 313366970 344703667 402900390 443190429 470050455 492433810 564060546 689407334 738650715 886380858 940100910 1034111001 1410151365 1477301430 1723518335 2068222002 2215952145 2820302730 3102333003 3447036670 4431904290 5170555005 6204666006 10341110010 15511665015 31023330030