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1123130100001 = 72137612316893
BaseRepresentation
bin10000010101111111110…
…001010100100100100001
310222100222212102120222011
4100111333301110210201
5121400132301200001
62215543035512521
7144100132222300
oct20257761244441
93870885376864
101123130100001
113a3353730518
12161805bb8741
1381babab9590
143c507380437
151e33640dd51
hex1057fc54921

1123130100001 has 24 divisors (see below), whose sum is σ = 1408847635944. Its totient is φ = 887462311680.

The previous prime is 1123130099977. The next prime is 1123130100047. The reversal of 1123130100001 is 1000010313211.

It can be written as a sum of positive squares in 4 ways, for example, as 237827880976 + 885302219025 = 487676^2 + 940905^2 .

It is not a de Polignac number, because 1123130100001 - 29 = 1123130099489 is a prime.

It is a super-2 number, since 2×11231301000012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1123130100091) 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 23 ways as a sum of consecutive naturals, for example, 673690 + ... + 1643203.

It is an arithmetic number, because the mean of its divisors is an integer number (58701984831).

Almost surely, 21123130100001 is an apocalyptic number.

It is an amenable number.

1123130100001 is a deficient number, since it is larger than the sum of its proper divisors (285717535943).

1123130100001 is a wasteful number, since it uses less digits than its factorization.

1123130100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317681 (or 2317674 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1123130100001 its reverse (1000010313211), we get a palindrome (2123140413212).

The spelling of 1123130100001 in words is "one trillion, one hundred twenty-three billion, one hundred thirty million, one hundred thousand, one".

Divisors: 1 7 13 49 91 637 761 5327 9893 37289 69251 484757 2316893 16218251 30119609 113527757 210837263 1475860841 1763155573 12342089011 22921022449 86394623077 160447157143 1123130100001