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113441221224 = 2334372127877
BaseRepresentation
bin110100110100110011…
…1111010101001101000
3101211210220200010110000
41221221213322221220
53324311423034344
6124040355023000
711124115320252
oct1515147725150
9354726603400
10113441221224
11441236805a1
1219b9b29aa60
13a90b426396
1456c2240cd2
152e3e293a69
hex1a699faa68

113441221224 has 120 divisors (see below), whose sum is σ = 326562687990. Its totient is φ = 36791459712.

The previous prime is 113441221169. The next prime is 113441221259. The reversal of 113441221224 is 422122144311.

113441221224 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 412 + 21 + 224 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 104964336324 + 8476884900 = 323982^2 + 92070^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 823174 + ... + 951050.

Almost surely, 2113441221224 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 113441221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163281343995).

113441221224 is an abundant number, since it is smaller than the sum of its proper divisors (213121466766).

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

113441221224 is a wasteful number, since it uses less digits than its factorization.

113441221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127969 (or 127919 counting only the distinct ones).

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

Adding to 113441221224 its reverse (422122144311), we get a palindrome (535563365535).

The spelling of 113441221224 in words is "one hundred thirteen billion, four hundred forty-one million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1369 1998 2664 2738 2997 3996 4107 5476 5994 7992 8214 10952 11988 12321 16428 23976 24642 32856 36963 49284 73926 98568 110889 127877 147852 221778 255754 295704 383631 443556 511508 767262 887112 1023016 1150893 1534524 2301786 3069048 3452679 4603572 4731449 6905358 9207144 9462898 10358037 13810716 14194347 18925796 20716074 27621432 28388694 37851592 41432148 42583041 56777388 82864296 85166082 113554776 127749123 170332164 175063613 255498246 340664328 350127226 383247369 510996492 525190839 700254452 766494738 1021992984 1050381678 1400508904 1532989476 1575572517 2100763356 3065978952 3151145034 4201526712 4726717551 6302290068 9453435102 12604580136 14180152653 18906870204 28360305306 37813740408 56720610612 113441221224