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231221444122132 = 226110113171621863
BaseRepresentation
bin110100100100101101110000…
…000010101001011000010100
31010022200112221222221012102121
4310210231300002221120110
5220301313004143402012
62135433355351145324
766463124635523422
oct6444556002513024
91108615858835377
10231221444122132
1167746511304882
1221b24321975244
139c0311c91a099
14411526b4da112
151bae90147ca07
hexd24b700a9614

231221444122132 has 48 divisors (see below), whose sum is σ = 418513481172864. Its totient is φ = 111730104720000.

The previous prime is 231221444122079. The next prime is 231221444122147.

It is a happy number.

231221444122132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32582568 + ... + 39039295.

It is an arithmetic number, because the mean of its divisors is an integer number (8719030857768).

Almost surely, 2231221444122132 is an apocalyptic number.

It is an amenable number.

231221444122132 is a deficient number, since it is larger than the sum of its proper divisors (187292037050732).

231221444122132 is a wasteful number, since it uses less digits than its factorization.

231221444122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71622160 (or 71622158 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 231221444122132 in words is "two hundred thirty-one trillion, two hundred twenty-one billion, four hundred forty-four million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 61 101 122 131 202 244 262 404 524 6161 7991 12322 13231 15982 24644 26462 31964 52924 807091 1614182 3228364 71621863 143243726 286487452 4368933643 7233808163 8737867286 9382464053 14467616326 17475734572 18764928106 28935232652 37529856212 441262297943 572330307233 882524595886 947628869353 1144660614466 1765049191772 1895257738706 2289321228932 3790515477412 57805361030533 115610722061066 231221444122132