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1012304032101 = 322350352118661
BaseRepresentation
bin11101011101100100000…
…01011011000101100101
310120202221012122000110200
432232302001123011211
5113041144313011401
62053013540341113
7133064560204515
oct16566201330545
93522835560420
101012304032101
1136035226536a
121442366a4799
13745c94104cb
1436dd25a7845
151b4eba40686
hexebb205b165

1012304032101 has 48 divisors (see below), whose sum is σ = 1531841455872. Its totient is φ = 642972844800.

The previous prime is 1012304032093. The next prime is 1012304032121.

1012304032101 is a `hidden beast` number, since 10 + 1 + 230 + 403 + 21 + 0 + 1 = 666.

1012304032101 is nontrivially palindromic in base 10.

1012304032101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012304032101 - 23 = 1012304032093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012304032121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54237711 + ... + 54256371.

It is an arithmetic number, because the mean of its divisors is an integer number (31913363664).

Almost surely, 21012304032101 is an apocalyptic number.

It is an amenable number.

1012304032101 is a deficient number, since it is larger than the sum of its proper divisors (519537423771).

1012304032101 is a wasteful number, since it uses less digits than its factorization.

1012304032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19714 (or 19711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 1012304032101 in words is "one trillion, twelve billion, three hundred four million, thirty-two thousand, one hundred one".

Divisors: 1 3 9 23 69 207 503 521 1509 1563 4527 4689 11569 11983 18661 34707 35949 55983 104121 107847 167949 262063 429203 786189 1287609 2358567 3862827 6027449 9386483 9722381 18082347 28159449 29167143 54247041 84478347 87501429 215889109 223614763 647667327 670844289 1943001981 2012532867 4890357643 14671072929 44013218787 112478225789 337434677367 1012304032101