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112002101001 = 3374196714947
BaseRepresentation
bin110100001001111011…
…0000110111100001001
3101201002121201020122000
41220103312012330021
53313340014213001
6123241505421213
711043342102420
oct1502366067411
9351077636560
10112002101001
11435552a223a
121985933a809
13a73c22b65b
1455c70682b7
152da7c72a86
hex1a13d86f09

112002101001 has 64 divisors (see below), whose sum is σ = 194472284160. Its totient is φ = 62371451520.

The previous prime is 112002100967. The next prime is 112002101021. The reversal of 112002101001 is 100101200211.

It is a happy number.

It is not a de Polignac number, because 112002101001 - 26 = 112002100937 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (112002101021) 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, 7485810 + ... + 7500756.

It is an arithmetic number, because the mean of its divisors is an integer number (3038629440).

Almost surely, 2112002101001 is an apocalyptic number.

It is an amenable number.

112002101001 is a deficient number, since it is larger than the sum of its proper divisors (82470183159).

112002101001 is a wasteful number, since it uses less digits than its factorization.

112002101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971 (or 15965 counting only the distinct ones).

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

Adding to 112002101001 its reverse (100101200211), we get a palindrome (212103301212).

The spelling of 112002101001 in words is "one hundred twelve billion, two million, one hundred one thousand, one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 967 1107 2583 2901 6769 7749 8703 14947 20307 26109 39647 44841 60921 104629 118941 134523 182763 277529 313887 356823 403569 612827 832587 941661 1070469 1838481 2497761 2824983 4289789 5515443 7493283 12869367 14453749 16546329 38608101 43361247 101176243 115824303 130083741 303528729 390251223 592603709 910586187 1777811127 2731758561 4148225963 5333433381 12444677889 16000300143 37334033667 112002101001