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1001321121132 = 223297286747171
BaseRepresentation
bin11101001001000110110…
…00111100010101101100
310112201120210100022222100
432210203120330111230
5112401201201334012
62044000042415100
7132225446045103
oct16444330742554
93481523308870
101001321121132
11356726739842
12142090501490
1373568bba317
143666daa503a
151b0a77298dc
hexe92363c56c

1001321121132 has 36 divisors (see below), whose sum is σ = 2557211279896. Its totient is φ = 330332739840.

The previous prime is 1001321121131. The next prime is 1001321121139. The reversal of 1001321121132 is 2311211231001.

1001321121132 is a `hidden beast` number, since 100 + 1 + 321 + 1 + 211 + 32 = 666.

1001321121132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10013211211322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001321121131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143370094 + ... + 143377077.

Almost surely, 21001321121132 is an apocalyptic number.

1001321121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001321121132 is an abundant number, since it is smaller than the sum of its proper divisors (1555890158764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001321121132 is a wasteful number, since it uses less digits than its factorization.

1001321121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286747278 (or 286747273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1001321121132 its reverse (2311211231001), we get a palindrome (3312532352133).

The spelling of 1001321121132 in words is "one trillion, one billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 286747171 573494342 860241513 1146988684 1720483026 2580724539 3440966052 5161449078 10322898156 27814475587 55628951174 83443426761 111257902348 166886853522 250330280283 333773707044 500660560566 1001321121132