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1120211232231 = 3721331123115361
BaseRepresentation
bin10000010011010001110…
…010101110010111100111
310222002110110001202010110
4100103101302232113213
5121323143033412411
62214341250224103
7143634610236600
oct20232162562747
93862413052113
101120211232231
113a2096044a03
12161130585033
13818351708a0
143c30b856da7
151e2150442a6
hex104d1cae5e7

1120211232231 has 96 divisors (see below), whose sum is σ = 1933175709696. Its totient is φ = 571318272000.

The previous prime is 1120211232227. The next prime is 1120211232253. The reversal of 1120211232231 is 1322321120211.

It is not a de Polignac number, because 1120211232231 - 22 = 1120211232227 is a prime.

It is a super-2 number, since 2×11202112322312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1120211232198 and 1120211232207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120211232131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72917991 + ... + 72933351.

It is an arithmetic number, because the mean of its divisors is an integer number (20137246976).

Almost surely, 21120211232231 is an apocalyptic number.

1120211232231 is a deficient number, since it is larger than the sum of its proper divisors (812964477465).

1120211232231 is a wasteful number, since it uses less digits than its factorization.

1120211232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16653 (or 16646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1120211232231 its reverse (1322321120211), we get a palindrome (2442532352442).

The spelling of 1120211232231 in words is "one trillion, one hundred twenty billion, two hundred eleven million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 403 637 651 1209 1231 1519 1911 2821 3693 4557 8463 8617 15361 16003 19747 25851 38161 46083 48009 59241 60319 107527 112021 114483 180957 199693 267127 322581 336063 476191 496093 599079 752689 784147 801381 1397851 1428573 1488279 1869889 2258067 2352441 3333337 3472651 4193553 5609667 6190483 9784957 10000011 10417953 18571449 18909391 23333359 24308557 29354871 43333381 56728173 70000077 72925671 130000143 132365737 245822083 303333667 397097211 586191121 737466249 910001001 926560159 1720754581 1758573363 2779680477 4103337847 5162263743 7620484573 12045282067 12310013541 22861453719 28723364929 36135846201 53343392011 86170094787 160030176033 373403744077 1120211232231