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113110021332 = 223271171574711
BaseRepresentation
bin110100101010111100…
…0011111010011010100
3101210221211110102121100
41221111320133103110
53323122131140312
6123543444150100
711112654214020
oct1512570372324
9353854412540
10113110021332
1143a73727180
1219b08398330
13a887923409
145690269380
152e201705dc
hex1a55e1f4d4

113110021332 has 144 divisors (see below), whose sum is σ = 361489250304. Its totient is φ = 28965384000.

The previous prime is 113110021319. The next prime is 113110021337. The reversal of 113110021332 is 233120011311.

113110021332 is a `hidden beast` number, since 1 + 1 + 311 + 0 + 0 + 21 + 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 (113110021337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90544 + ... + 484167.

It is an arithmetic number, because the mean of its divisors is an integer number (2510342016).

Almost surely, 2113110021332 is an apocalyptic number.

113110021332 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 113110021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180744625152).

113110021332 is an abundant number, since it is smaller than the sum of its proper divisors (248379228972).

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

113110021332 is a wasteful number, since it uses less digits than its factorization.

113110021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574810 (or 574805 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113110021332 its reverse (233120011311), we get a palindrome (346230032643).

The spelling of 113110021332 in words is "one hundred thirteen billion, one hundred ten million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 396 426 462 497 639 693 781 852 924 994 1278 1386 1491 1562 1988 2343 2556 2772 2982 3124 4473 4686 5467 5964 7029 8946 9372 10934 14058 16401 17892 21868 28116 32802 49203 65604 98406 196812 574711 1149422 1724133 2298844 3448266 4022977 5172399 6321821 6896532 8045954 10344798 12068931 12643642 16091908 18965463 20689596 24137862 25287284 36206793 37930926 40804481 44252747 48275724 56896389 72413586 75861852 81608962 88505494 113792778 122413443 132758241 144827172 163217924 177010988 227585556 244826886 265516482 285631367 367240329 398274723 448849291 489653772 531032964 571262734 734480658 796549446 856894101 897698582 1142525468 1346547873 1468961316 1593098892 1713788202 1795397164 2570682303 2693095746 3141945037 3427576404 4039643619 5141364606 5386191492 6283890074 8079287238 9425835111 10282729212 12567780148 16158574476 18851670222 28277505333 37703340444 56555010666 113110021332