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1111000400001 = 354722069723
BaseRepresentation
bin10000001010101100110…
…010001100000010000001
310221012200112020222200000
4100022230302030002001
5121200312100300001
62210215254150213
7143160424404402
oct20125462140201
93835615228600
101111000400001
11399199842368
1215b39b952369
13809c7b129bb
143bab643d9a9
151dd765bda86
hex102acc8c081

1111000400001 has 36 divisors (see below), whose sum is σ = 1700377612752. Its totient is φ = 724907712168.

The previous prime is 1111000399967. The next prime is 1111000400023. The reversal of 1111000400001 is 1000040001111.

It is a de Polignac number, because none of the positive numbers 2k-1111000400001 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 (1111000400051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498075 + ... + 1571648.

Almost surely, 21111000400001 is an apocalyptic number.

It is an amenable number.

1111000400001 is a deficient number, since it is larger than the sum of its proper divisors (589377212751).

1111000400001 is an frugal number, since it uses more digits than its factorization.

1111000400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069832 (or 2069773 counting only the distinct ones).

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

Adding to 1111000400001 its reverse (1000040001111), we get a palindrome (2111040401112).

The spelling of 1111000400001 in words is "one trillion, one hundred eleven billion, four hundred thousand, one".

Divisors: 1 3 9 27 47 81 141 243 423 1269 2209 3807 6627 11421 19881 59643 178929 536787 2069723 6209169 18627507 55882521 97276981 167647563 291830943 502942689 875492829 2626478487 4572018107 7879435461 13716054321 23638306383 41148162963 123444488889 370333466667 1111000400001