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11298325120 = 275171038449
BaseRepresentation
bin10101000010110111…
…01100001010000000
31002011101210101100221
422201123230022000
5141114332400440
65105042152424
7546661115245
oct124133541200
932141711327
1011298325120
114878678985
122233952714
1310b0989ca4
147927695cc
15461d6bd4a
hex2a16ec280

11298325120 has 64 divisors (see below), whose sum is σ = 28598913000. Its totient is φ = 4253483008.

The previous prime is 11298325063. The next prime is 11298325127. The reversal of 11298325120 is 2152389211.

It can be written as a sum of positive squares in 4 ways, for example, as 7672358464 + 3625966656 = 87592^2 + 60216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (11298325127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508345 + ... + 530104.

Almost surely, 211298325120 is an apocalyptic number.

11298325120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11298325120 is an abundant number, since it is smaller than the sum of its proper divisors (17300587880).

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

11298325120 is a wasteful number, since it uses less digits than its factorization.

11298325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038485 (or 1038473 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 11298325120 in words is "eleven billion, two hundred ninety-eight million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 1038449 2076898 4153796 5192245 8307592 10384490 16615184 17653633 20768980 33230368 35307266 41537960 66460736 70614532 83075920 88268165 132921472 141229064 166151840 176536330 282458128 332303680 353072660 564916256 664607360 706145320 1129832512 1412290640 2259665024 2824581280 5649162560 11298325120