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221031130122 = 232111543723473
BaseRepresentation
bin1100110111011001111…
…0110110010000001010
3210010112001001210100200
43031312132312100022
512110132432130442
6245312412113030
721653233415115
oct3156636662012
9703461053320
10221031130122
1185814346580
1236a06a65776
1317ac651347a
14a9ab2d957c
155b399c034c
hex33767b640a

221031130122 has 48 divisors (see below), whose sum is σ = 522776524608. Its totient is φ = 66935629440.

The previous prime is 221031130109. The next prime is 221031130127.

221031130122 is a `hidden beast` number, since 22 + 10 + 311 + 301 + 22 = 666.

221031130122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 221031130095 and 221031130104.

It is not an unprimeable number, because it can be changed into a prime (221031130127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56223 + ... + 667250.

It is an arithmetic number, because the mean of its divisors is an integer number (10891177596).

Almost surely, 2221031130122 is an apocalyptic number.

221031130122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221031130122 is an abundant number, since it is smaller than the sum of its proper divisors (301745394486).

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

221031130122 is a wasteful number, since it uses less digits than its factorization.

221031130122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725035 (or 725032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 221031 and 130122, that added together give a palindrome (351153).

The spelling of 221031130122 in words is "two hundred twenty-one billion, thirty-one million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1543 3086 4629 9258 13887 16973 27774 33946 50919 101838 152757 305514 723473 1446946 2170419 4340838 6511257 7958203 13022514 15916406 23874609 47749218 71623827 143247654 1116318839 2232637678 3348956517 6697913034 10046869551 12279507229 20093739102 24559014458 36838521687 73677043374 110515565061 221031130122