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113020021332 = 22338316377351
BaseRepresentation
bin110100101000010000…
…1001010101001010100
3101210201120002221211000
41221100201022221110
53322431111140312
6123530511143300
711110512221241
oct1512041125124
9353646087730
10113020021332
1143a27945909
1219aa2214b30
13a8720a148a
14568231c5c8
152e172e3adc
hex1a5084aa54

113020021332 has 96 divisors (see below), whose sum is σ = 298368322560. Its totient is φ = 36990626400.

The previous prime is 113020021207. The next prime is 113020021337. The reversal of 113020021332 is 233120020311.

113020021332 is a `hidden beast` number, since 1 + 130 + 200 + 2 + 1 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113020021337) 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, 1422457 + ... + 1499807.

It is an arithmetic number, because the mean of its divisors is an integer number (3108003360).

Almost surely, 2113020021332 is an apocalyptic number.

113020021332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113020021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184161280).

113020021332 is an abundant number, since it is smaller than the sum of its proper divisors (185348301228).

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

113020021332 is a wasteful number, since it uses less digits than its factorization.

113020021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77610 (or 77602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113020021332 its reverse (233120020311), we get a palindrome (346140041643).

The spelling of 113020021332 in words is "one hundred thirteen billion, twenty million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 163 166 249 326 332 489 498 652 747 978 996 1467 1494 1956 2241 2934 2988 4401 4482 5868 8802 8964 13529 17604 27058 40587 54116 77351 81174 121761 154702 162348 232053 243522 309404 365283 464106 487044 696159 730566 928212 1392318 1461132 2088477 2784636 4176954 6420133 8353908 12608213 12840266 19260399 25216426 25680532 37824639 38520798 50432852 57781197 75649278 77041596 113473917 115562394 151298556 173343591 226947834 231124788 340421751 346687182 453895668 680843502 693374364 1046481679 1361687004 2092963358 3139445037 4185926716 6278890074 9418335111 12557780148 18836670222 28255005333 37673340444 56510010666 113020021332