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1331503104 = 2133173187
BaseRepresentation
bin100111101011101…
…0010000000000000
310102210110100212210
41033113102000000
510211331044404
6340042422120
744665406151
oct11727220000
93383410783
101331503104
11623664a98
12311b01940
13182b18179
14c8ba1928
157bd64689
hex4f5d2000

1331503104 has 112 divisors (see below), whose sum is σ = 3760488288. Its totient is φ = 417595392.

The previous prime is 1331503093. The next prime is 1331503123. The reversal of 1331503104 is 4013051331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416199 + ... + 419385.

Almost surely, 21331503104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880244144).

1331503104 is an abundant number, since it is smaller than the sum of its proper divisors (2428985184).

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

1331503104 is an equidigital number, since it uses as much as digits as its factorization.

1331503104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1331503104 is about 36489.7671135347. The cubic root of 1331503104 is about 1100.1385786843.

Adding to 1331503104 its reverse (4013051331), we get a palindrome (5344554435).

The spelling of 1331503104 in words is "one billion, three hundred thirty-one million, five hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3187 3264 4096 4352 6144 6374 6528 8192 8704 9561 12288 12748 13056 17408 19122 24576 25496 26112 34816 38244 50992 52224 54179 69632 76488 101984 104448 108358 139264 152976 162537 203968 208896 216716 305952 325074 407936 417792 433432 611904 650148 815872 866864 1223808 1300296 1631744 1733728 2447616 2600592 3263488 3467456 4895232 5201184 6526976 6934912 9790464 10402368 13053952 13869824 19580928 20804736 26107904 27739648 39161856 41609472 55479296 78323712 83218944 110958592 166437888 221917184 332875776 443834368 665751552 1331503104