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120103001302011 = 37133141883391999
BaseRepresentation
bin11011010011101110101000…
…101110101010001111111011
3120202020201211122220022112220
4123103232220232222033323
5111220231421313131021
61103234320200135123
734204104222620250
oct3323565056521773
9522221748808486
10120103001302011
11352a54401799a2
12115789241674a3
135202883988460
142193032955427
15dd424c0decc6
hex6d3ba8baa3fb

120103001302011 has 128 divisors (see below), whose sum is σ = 208648667136000. Its totient is φ = 59744258380800.

The previous prime is 120103001302003. The next prime is 120103001302013. The reversal of 120103001302011 is 110203100301021.

It is a happy number.

It is not a de Polignac number, because 120103001302011 - 23 = 120103001302003 is a prime.

It is a super-2 number, since 2×1201030013020112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120103001302013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306189990 + ... + 306581988.

It is an arithmetic number, because the mean of its divisors is an integer number (1630067712000).

Almost surely, 2120103001302011 is an apocalyptic number.

120103001302011 is a deficient number, since it is larger than the sum of its proper divisors (88545665833989).

120103001302011 is a wasteful number, since it uses less digits than its factorization.

120103001302011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392977.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120103001302011 its reverse (110203100301021), we get a palindrome (230306101603032).

The spelling of 120103001302011 in words is "one hundred twenty trillion, one hundred three billion, one million, three hundred two thousand, eleven".

Divisors: 1 3 7 13 21 31 39 41 91 93 123 217 273 287 403 533 651 861 883 1209 1271 1599 2649 2821 3731 3813 6181 8463 8897 11193 11479 16523 18543 26691 27373 34437 36203 49569 80353 82119 108609 115661 191611 241059 253421 346983 355849 391999 470639 574833 760263 1067547 1122293 1175997 1411917 2490943 2743993 3294473 3366879 5095987 7472829 7856051 8231979 9883419 12151969 14589809 15287961 16071959 23568153 35671909 36455907 43769427 48215877 85063783 102128663 107015727 112503713 157975597 208935467 255191349 306385989 337511139 346135117 473926791 498230729 626806401 1038405351 1105829179 1462548269 1494692187 2422945819 3317487537 3487615103 4387644807 4499756521 6476999477 7268837457 10462845309 10730188627 13499269563 14191539797 19430998431 31498295647 32190565881 42574619391 45338996339 75111320389 94494886941 99340778579 136016989017 139492452151 184490017361 225333961167 298022335737 418477356453 439937733707 553470052083 976447165057 1291430121527 1319813201121 2929341495171 3079564135949 3874290364581 5719190538191 9238692407847 17157571614573 40034333767337 120103001302011