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133442102460 = 223526367712491
BaseRepresentation
bin111110001000111000…
…1001110010010111100
3110202102210212011112010
41330101301032102330
54141242134234320
6141145155211220
712432551104332
oct1742161162274
9422383764463
10133442102460
1151657651707
1221a415a6b10
13c77804c154
14665c6b5b52
153710135ae0
hex1f11c4e4bc

133442102460 has 96 divisors (see below), whose sum is σ = 375642634752. Its totient is φ = 35394062080.

The previous prime is 133442102459. The next prime is 133442102467. The reversal of 133442102460 is 64201244331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133442102467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10676815 + ... + 10689305.

It is an arithmetic number, because the mean of its divisors is an integer number (3912944112).

Almost surely, 2133442102460 is an apocalyptic number.

133442102460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133442102460 is an abundant number, since it is smaller than the sum of its proper divisors (242200532292).

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

133442102460 is a wasteful number, since it uses less digits than its factorization.

133442102460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13443 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 133442102460 its reverse (64201244331), we get a palindrome (197643346791).

The spelling of 133442102460 in words is "one hundred thirty-three billion, four hundred forty-two million, one hundred two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 263 526 677 789 1052 1315 1354 1578 2031 2630 2708 3156 3385 3945 4062 5260 6770 7890 8124 10155 12491 13540 15780 20310 24982 37473 40620 49964 62455 74946 124910 149892 178051 187365 249820 356102 374730 534153 712204 749460 890255 1068306 1780510 2136612 2670765 3285133 3561020 5341530 6570266 8456407 9855399 10683060 13140532 16425665 16912814 19710798 25369221 32851330 33825628 39421596 42282035 49276995 50738442 65702660 84564070 98553990 101476884 126846105 169128140 197107980 253692210 507384420 2224035041 4448070082 6672105123 8896140164 11120175205 13344210246 22240350410 26688420492 33360525615 44480700820 66721051230 133442102460