Search a number
-
+
331123026420 = 223253495270981
BaseRepresentation
bin1001101000110000111…
…10000110100111110100
31011122200112101120202100
410310120132012213310
520411114443321140
6412041003342100
732631352166604
oct4643036064764
91148615346670
10331123026420
1111847935273a
1254210521930
13252bca77484
14120527a0c04
15892ebbb530
hex4d187869f4

331123026420 has 72 divisors (see below), whose sum is σ = 1007284660200. Its totient is φ = 88046449920.

The previous prime is 331123026407. The next prime is 331123026431. The reversal of 331123026420 is 24620321133.

331123026420 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 230 + 2 + 6 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101609212644 + 229513813776 = 318762^2 + 479076^2 .

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 23 ways as a sum of consecutive naturals, for example, 2572671 + ... + 2698310.

It is an arithmetic number, because the mean of its divisors is an integer number (13990064725).

Almost surely, 2331123026420 is an apocalyptic number.

331123026420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331123026420 is an abundant number, since it is smaller than the sum of its proper divisors (676161633780).

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

331123026420 is a wasteful number, since it uses less digits than its factorization.

331123026420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271345 (or 5271340 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 331123026420 its reverse (24620321133), we get a palindrome (355743347553).

The spelling of 331123026420 in words is "three hundred thirty-one billion, one hundred twenty-three million, twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 349 698 1047 1396 1745 2094 3141 3490 4188 5235 6282 6980 10470 12564 15705 20940 31410 62820 5270981 10541962 15812943 21083924 26354905 31625886 47438829 52709810 63251772 79064715 94877658 105419620 158129430 189755316 237194145 316258860 474388290 948776580 1839572369 3679144738 5518717107 7358289476 9197861845 11037434214 16556151321 18395723690 22074868428 27593585535 33112302642 36791447380 55187171070 66224605284 82780756605 110374342140 165561513210 331123026420