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1331023104 = 283464189
BaseRepresentation
bin100111101010101…
…1100110100000000
310102202112222110000
41033111130310000
510211220214404
6340024240000
744661336555
oct11725346400
93382488400
101331023104
116233673a4
12311910000
131829aa848
14c8ab8a2c
157bcbc339
hex4f55cd00

1331023104 has 90 divisors (see below), whose sum is σ = 3968931890. Its totient is φ = 443667456.

The previous prime is 1331023103. The next prime is 1331023117. The reversal of 1331023104 is 4013201331.

It can be written as a sum of positive squares in only one way, i.e., 1214383104 + 116640000 = 34848^2 + 10800^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331023103) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11359 + ... + 52830.

Almost surely, 21331023104 is an apocalyptic number.

It is an amenable number.

1331023104 is an abundant number, since it is smaller than the sum of its proper divisors (2637908786).

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

1331023104 is an frugal number, since it uses more digits than its factorization.

1331023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64217 (or 64194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331023104 is about 36483.1893342674. The cubic root of 1331023104 is about 1100.0063647015.

Adding to 1331023104 its reverse (4013201331), we get a palindrome (5344224435).

The spelling of 1331023104 in words is "one billion, three hundred thirty-one million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 64189 128378 192567 256756 385134 513512 577701 770268 1027024 1155402 1540536 1733103 2054048 2310804 3081072 3466206 4108096 4621608 5199309 6162144 6932412 8216192 9243216 10398618 12324288 13864824 16432384 18486432 20797236 24648576 27729648 36972864 41594472 49297152 55459296 73945728 83188944 110918592 147891456 166377888 221837184 332755776 443674368 665511552 1331023104