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120133321103332 = 222961233337216217
BaseRepresentation
bin11011010100001010110111…
…111011100001011111100100
3120202100122002200221210212101
4123110022313323201133210
5111221231020200301312
61103300252534501444
734206226454646415
oct3324126773413744
9522318080853771
10120133321103332
1135307289991439
1211582786204884
1352056a63921b4
1421946ab64980c
15dd4e23d39a57
hex6d42b7ee17e4

120133321103332 has 96 divisors (see below), whose sum is σ = 222656505009120. Its totient is φ = 56631017963520.

The previous prime is 120133321103309. The next prime is 120133321103333. The reversal of 120133321103332 is 233301123331021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 57672845701696 + 62460475401636 = 7594264^2 + 7903194^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 120133321103332.

It is not an unprimeable number, because it can be changed into a prime (120133321103333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555506488 + ... + 555722704.

It is an arithmetic number, because the mean of its divisors is an integer number (2319338593845).

Almost surely, 2120133321103332 is an apocalyptic number.

It is an amenable number.

120133321103332 is a deficient number, since it is larger than the sum of its proper divisors (102523183905788).

120133321103332 is a wasteful number, since it uses less digits than its factorization.

120133321103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216881 (or 216879 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 120133321103332 its reverse (233301123331021), we get a palindrome (353434444434353).

The spelling of 120133321103332 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred twenty-one million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 29 58 61 116 122 233 244 337 466 674 932 1348 1769 3538 6757 7076 9773 13514 14213 19546 20557 27028 28426 39092 41114 56852 78521 82228 157042 216217 314084 412177 432434 596153 824354 864868 1192306 1648708 2277109 2384612 4554218 4789781 6270293 9108436 9579562 12540586 13189237 19159124 25081172 26378474 50378561 52756948 72865129 100757122 138903649 145730258 201514244 277807298 291460516 382487873 555614596 764975746 1460978269 1529951492 2113088741 2921956538 3073092221 4226177482 4444772869 5843913076 6146184442 8452354964 8889545738 12292368884 16977575057 17779091476 33955150114 67910300228 89119674409 128898413201 178239348818 257796826402 356478697636 492349676653 515593652804 984699353306 1035632078477 1969398706612 2071264156954 4142528313908 30033330275833 60066660551666 120133321103332