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1201034211444 = 2233233201723663
BaseRepresentation
bin10001011110100011001…
…101111011000001110100
311020211002010202111101000
4101132203031323001310
5124134204224231234
62315425243203300
7152525514232524
oct21364315730164
94224063674330
101201034211444
114233a05574a1
12174927b16530
1389345942a42
14421b7a1d684
15213958c8899
hex117a337b074

1201034211444 has 96 divisors (see below), whose sum is σ = 3128838935040. Its totient is φ = 398412048384.

The previous prime is 1201034211427. The next prime is 1201034211463. The reversal of 1201034211444 is 4441124301021.

1201034211444 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 3 + 4 + 211 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50743957 + ... + 50767619.

It is an arithmetic number, because the mean of its divisors is an integer number (32592072240).

Almost surely, 21201034211444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201034211444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564419467520).

1201034211444 is an abundant number, since it is smaller than the sum of its proper divisors (1927804723596).

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

1201034211444 is a wasteful number, since it uses less digits than its factorization.

1201034211444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25926 (or 25918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1201034211444 its reverse (4441124301021), we get a palindrome (5642158512465).

The spelling of 1201034211444 in words is "one trillion, two hundred one billion, thirty-four million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1398 2017 2097 2796 4034 4194 6051 6291 8068 8388 12102 12582 18153 23663 24204 25164 36306 47326 54459 70989 72612 94652 108918 141978 212967 217836 283956 425934 469961 638901 851868 939922 1277802 1409883 1879844 2555604 2819766 4229649 5513479 5639532 8459298 11026958 12688947 16540437 16918596 22053916 25377894 33080874 47728271 49621311 50755788 66161748 95456542 99242622 143184813 148863933 190913084 198485244 286369626 297727866 429554439 572739252 595455732 859108878 1288663317 1718217756 2577326634 5154653268 11120687143 22241374286 33362061429 44482748572 66724122858 100086184287 133448245716 200172368574 300258552861 400344737148 600517105722 1201034211444