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12101131330332 = 22311312957265721
BaseRepresentation
bin1011000000011000001110…
…1000100110001100011100
31120211212010122111222111120
42300012003220212030130
53041231104110032312
641423103305250540
72356164213103122
oct260060350461434
946755118458446
1012101131330332
113946074184150
121435344493a50
1369a1936cc655
142db9aadb5912
1515eba162e28c
hexb0183a2631c

12101131330332 has 48 divisors (see below), whose sum is σ = 31796521042944. Its totient is φ = 3548718864000.

The previous prime is 12101131330283. The next prime is 12101131330339. The reversal of 12101131330332 is 23303313110121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101131330339) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1478628769 + ... + 1478636952.

It is an arithmetic number, because the mean of its divisors is an integer number (662427521728).

Almost surely, 212101131330332 is an apocalyptic number.

12101131330332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101131330332 is an abundant number, since it is smaller than the sum of its proper divisors (19695389712612).

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

12101131330332 is a wasteful number, since it uses less digits than its factorization.

12101131330332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957265770 (or 2957265768 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12101131330332 its reverse (23303313110121), we get a palindrome (35404444440453).

The spelling of 12101131330332 in words is "twelve trillion, one hundred one billion, one hundred thirty-one million, three hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 2957265721 5914531442 8871797163 11829062884 17743594326 32529922931 35487188652 65059845862 91675237351 97589768793 130119691724 183350474702 195179537586 275025712053 366700949404 390359075172 550051424106 1008427610861 1100102848212 2016855221722 3025282832583 4033710443444 6050565665166 12101131330332