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101233012011120 = 243251152501243461
BaseRepresentation
bin10111000001001000100101…
…101110000111000001110000
3111021102210002122221120010200
4113001020211232013001300
5101232100202033323440
6555145445333155200
730215562260253543
oct2701104556070160
9437383078846120
10101233012011120
112a28a752160890
12b42b776a8bb00
134464302b24332
141add9bd7d685a
15ba848274bc30
hex5c1225b87070

101233012011120 has 240 divisors, whose sum is σ = 370889531666784. Its totient is φ = 24540768000000.

The previous prime is 101233012011073. The next prime is 101233012011167. The reversal of 101233012011120 is 21110210332101.

101233012011120 is a `hidden beast` number, since 1 + 0 + 12 + 330 + 1 + 201 + 1 + 120 = 666.

101233012011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101233012011073) and next prime (101233012011167).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101233012011093 and 101233012011102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 415686190 + ... + 415929650.

Almost surely, 2101233012011120 is an apocalyptic number.

101233012011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101233012011120 is an abundant number, since it is smaller than the sum of its proper divisors (269656519655664).

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

101233012011120 is a wasteful number, since it uses less digits than its factorization.

101233012011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295992 (or 295983 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101233012011120 its reverse (21110210332101), we get a palindrome (122343222343221).

The spelling of 101233012011120 in words is "one hundred one trillion, two hundred thirty-three billion, twelve million, eleven thousand, one hundred twenty".