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20113133111032 = 23137323332573491
BaseRepresentation
bin1001001001010111101000…
…01001111000011011111000
32122012210111211101000101011
410210223310021320123320
510114013144034023112
6110435502405203304
74144061121423553
oct444536411703370
978183454330334
1020113133111032
116454a28324905
12230a087700534
13b2b87792c9a0
144d76a35b769a
1524d2c7067aa7
hex124af42786f8

20113133111032 has 128 divisors (see below), whose sum is σ = 41370634992960. Its totient is φ = 9111115284480.

The previous prime is 20113133111021. The next prime is 20113133111033. The reversal of 20113133111032 is 23011133131102.

It is a junction number, because it is equal to n+sod(n) for n = 20113133110994 and 20113133111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113133111033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5761422807 + ... + 5761426297.

Almost surely, 220113133111032 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 20113133111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685317496480).

20113133111032 is an abundant number, since it is smaller than the sum of its proper divisors (21257501881928).

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

20113133111032 is a wasteful number, since it uses less digits than its factorization.

20113133111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 20113133111032 its reverse (23011133131102), we get a palindrome (43124266242134).

The spelling of 20113133111032 in words is "twenty trillion, one hundred thirteen billion, one hundred thirty-three million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 233 292 466 584 932 949 1864 1898 3029 3257 3491 3796 6058 6514 6982 7592 12116 13028 13964 17009 24232 26056 27928 34018 42341 45383 68036 84682 90766 136072 169364 181532 221117 237761 254843 338728 363064 442234 475522 509686 758881 813403 884468 951044 1019372 1517762 1626806 1768936 1902088 2038744 3035524 3090893 3253612 3312959 6071048 6181786 6507224 6625918 9865453 10574239 11370187 12363572 13251836 19730906 21148478 22740374 24727144 26503672 39461812 42296956 45480748 55398313 59378419 78923624 84593912 90961496 110796626 118756838 147812431 221593252 237513676 295624862 443186504 475027352 591249724 720178069 771919447 830023651 1182499448 1440356138 1543838894 1660047302 2649253571 2880712276 3087677788 3320094604 5298507142 5761424552 6175355576 6640189208 10597014284 10790307463 21194028568 21580614926 34440296423 43161229852 68880592846 86322459704 137761185692 193395510683 275522371384 386791021366 773582042732 1547164085464 2514141638879 5028283277758 10056566555516 20113133111032