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1001112101001 = 331923691122789
BaseRepresentation
bin11101001000101101110…
…11100110000010001001
310112201001020001000021000
432210112323212002021
5112400234144213001
62043523214405213
7132220330312005
oct16442673460211
93481036030230
101001112101001
11356629755931
12142032500809
13735347c547c
1436650015705
151b0941dca86
hexe916ee6089

1001112101001 has 64 divisors (see below), whose sum is σ = 1631437056000. Its totient is φ = 603910676160.

The previous prime is 1001112100993. The next prime is 1001112101029. The reversal of 1001112101001 is 1001012111001.

It is not a de Polignac number, because 1001112101001 - 23 = 1001112100993 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 (1001112101501) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8091715 + ... + 8214503.

It is an arithmetic number, because the mean of its divisors is an integer number (25491204000).

Almost surely, 21001112101001 is an apocalyptic number.

It is an amenable number.

1001112101001 is a deficient number, since it is larger than the sum of its proper divisors (630324954999).

1001112101001 is a wasteful number, since it uses less digits than its factorization.

1001112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123531 (or 123525 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001112101001 its reverse (1001012111001), we get a palindrome (2002124212002).

The spelling of 1001112101001 in words is "one trillion, one billion, one hundred twelve million, one hundred one thousand, one".

Divisors: 1 3 9 19 23 27 57 69 171 207 437 513 621 691 1311 2073 3933 6219 11799 13129 15893 18657 39387 47679 118161 122789 143037 301967 354483 368367 429111 905901 1105101 2332991 2717703 2824147 3315303 6998973 8153109 8472441 20996919 25417323 53658793 62990757 76251969 84847199 160976379 254541597 482929137 763624791 1448787411 1612096781 1951485577 2290874373 4836290343 5854456731 14508871029 17563370193 37078225963 43526613087 52690110579 111234677889 333704033667 1001112101001