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101002020000111 = 3233149996782291
BaseRepresentation
bin10110111101110001011101…
…100001100001000101101111
3111020121200212102201120222200
4112331301131201201011233
5101214304114110000421
6554451404252512543
730163104132462366
oct2675613541410557
9436550772646880
10101002020000111
112a20079719a04a
12b3b2a5017b753
1344485aca6c309
141ad274963c7dd
15ba2463549726
hex5bdc5d86116f

101002020000111 has 24 divisors (see below), whose sum is σ = 146361861360000. Its totient is φ = 67117813131600.

The previous prime is 101002020000059. The next prime is 101002020000127. The reversal of 101002020000111 is 111000020200101.

It is a happy number.

It is not a de Polignac number, because 101002020000111 - 231 = 100999872516463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002020000093 and 101002020000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002220000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11500876 + ... + 18283166.

It is an arithmetic number, because the mean of its divisors is an integer number (6098410890000).

Almost surely, 2101002020000111 is an apocalyptic number.

101002020000111 is a deficient number, since it is larger than the sum of its proper divisors (45359841359889).

101002020000111 is a wasteful number, since it uses less digits than its factorization.

101002020000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787627 (or 6787624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002020000111 its reverse (111000020200101), we get a palindrome (212002040200212).

The spelling of 101002020000111 in words is "one hundred one trillion, two billion, twenty million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 331 993 2979 4999 14997 44991 1654669 4964007 6782291 14892021 20346873 61040619 2244938321 6734814963 20204444889 33904672709 101714018127 305142054381 11222446666679 33667340000037 101002020000111