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1332022104 = 233374121487
BaseRepresentation
bin100111101100101…
…0000101101011000
310102211102201211000
41033121100231120
510211444201404
6340101505000
745003000240
oct11731205530
93384381730
101332022104
11623989a16
12312112160
13182c6a47a
14c8c98b20
157be18339
hex4f650b58

1332022104 has 128 divisors (see below), whose sum is σ = 4331980800. Its totient is φ = 371278080.

The previous prime is 1332022073. The next prime is 1332022177. The reversal of 1332022104 is 4012202331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51249 + ... + 72735.

It is an arithmetic number, because the mean of its divisors is an integer number (33843600).

Almost surely, 21332022104 is an apocalyptic number.

1332022104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332022104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165990400).

1332022104 is an abundant number, since it is smaller than the sum of its proper divisors (2999958696).

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

1332022104 is a wasteful number, since it uses less digits than its factorization.

1332022104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21550 (or 21540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1332022104 is about 36496.8780034676. The cubic root of 1332022104 is about 1100.2814993057.

Adding to 1332022104 its reverse (4012202331), we get a palindrome (5344224435).

The spelling of 1332022104 in words is "one billion, three hundred thirty-two million, twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 4428 5166 6888 7749 8856 10332 15498 20664 21487 30996 42974 61992 64461 85948 128922 150409 171896 193383 257844 300818 386766 451227 515688 580149 601636 773532 880967 902454 1160298 1203272 1353681 1547064 1761934 1804908 2320596 2642901 2707362 3523868 3609816 4061043 4641192 5285802 5414724 6166769 7047736 7928703 8122086 10571604 10829448 12333538 15857406 16244172 18500307 21143208 23786109 24667076 31714812 32488344 37000614 47572218 49334152 55500921 63429624 74001228 95144436 111001842 148002456 166502763 190288872 222003684 333005526 444007368 666011052 1332022104