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2114406025101 = 333141106957637
BaseRepresentation
bin11110110001001100011…
…010111000011110001101
321111010122120222002112000
4132301030122320132031
5234120300420300401
64255202243102513
7305521644446526
oct36611432703615
97433576862460
102114406025101
11745795095857
122a1952371a39
13124506823806
14744a2cb984d
153a001cee186
hex1ec4c6b878d

2114406025101 has 64 divisors (see below), whose sum is σ = 3315522201600. Its totient is φ = 1329593356800.

The previous prime is 2114406025099. The next prime is 2114406025133. The reversal of 2114406025101 is 1015206044112.

2114406025101 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 0 + 602 + 51 + 0 + 1 = 666.

It is not a de Polignac number, because 2114406025101 - 21 = 2114406025099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114406025601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36656055 + ... + 36713691.

It is an arithmetic number, because the mean of its divisors is an integer number (51805034400).

Almost surely, 22114406025101 is an apocalyptic number.

It is an amenable number.

2114406025101 is a deficient number, since it is larger than the sum of its proper divisors (1201116176499).

2114406025101 is a wasteful number, since it uses less digits than its factorization.

2114406025101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58787 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 2114406025101 in words is "two trillion, one hundred fourteen billion, four hundred six million, twenty-five thousand, one hundred one".

Divisors: 1 3 9 27 31 41 93 123 279 369 837 1069 1107 1271 3207 3813 9621 11439 28863 33139 34317 43829 57637 99417 131487 172911 298251 394461 518733 894753 1183383 1358699 1556199 1786747 2363117 4076097 5360241 7089351 12228291 16080723 21268053 36684873 48242169 61613953 63804159 73256627 184841859 219769881 554525577 659309643 1663576731 1910032543 1977928929 2526172073 5730097629 7578516219 17190292887 22735548657 51570878661 68206645971 78311334263 234934002789 704802008367 2114406025101