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120601355325 = 352112921011721
BaseRepresentation
bin111000001010001100…
…1101010010000111101
3102112021220201121220220
41300110121222100331
53433442421332300
6131223053331553
711466420414633
oct1602431522075
9375256647826
10120601355325
11471683592a0
121b459196bb9
13b4ac968b19
145ba1163353
15320cb8eda0
hex1c1466a43d

120601355325 has 144 divisors (see below), whose sum is σ = 227643054912. Its totient is φ = 55865600000.

The previous prime is 120601355309. The next prime is 120601355447. The reversal of 120601355325 is 523553106021.

It is a happy number.

120601355325 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120601355325 - 24 = 120601355309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

120601355325 is strictly pandigital in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70075465 + ... + 70077185.

It is an arithmetic number, because the mean of its divisors is an integer number (1580854548).

Almost surely, 2120601355325 is an apocalyptic number.

120601355325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120601355325 is a deficient number, since it is larger than the sum of its proper divisors (107041699587).

120601355325 is a wasteful number, since it uses less digits than its factorization.

120601355325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 120601355325 in words is "one hundred twenty billion, six hundred one million, three hundred fifty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 29 33 55 75 87 101 145 165 275 303 319 435 505 725 825 841 957 1111 1515 1595 1721 2175 2523 2525 2929 3333 4205 4785 5163 5555 7575 7975 8605 8787 9251 12615 14645 16665 18931 21025 23925 25815 27753 27775 32219 43025 43935 46255 49909 56793 63075 73225 83325 84941 94655 96657 129075 138765 149727 161095 173821 219675 231275 249545 254823 283965 424705 473275 483285 521463 548999 693825 748635 805475 869105 934351 1247725 1274115 1419825 1447361 1646997 1912031 2123525 2416425 2607315 2744995 2803053 3743175 4342083 4345525 4671755 5040809 5736093 6370575 7236805 8234985 9560155 13036575 13724975 14015265 15122427 15920971 21710415 23358775 25204045 28680465 36184025 41174925 47762913 47800775 55448899 70076325 75612135 79604855 108552075 126020225 143402325 146183461 166346697 238814565 277244495 378060675 398024275 438550383 730917305 831733485 1194072825 1386222475 1608018071 2192751915 3654586525 4158667425 4824054213 8040090355 10963759575 24120271065 40200451775 120601355325