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113001222240 = 25325174616063
BaseRepresentation
bin110100100111101100…
…1011101000001100000
3101210200020201212022100
41221033121131001200
53322411303102430
6123525000210400
711110163353344
oct1511731350140
9353606655270
10113001222240
1143a18275875
1219a97a69a00
13a86b21b85a
14567da27624
152e1582d960
hex1a4f65d060

113001222240 has 144 divisors (see below), whose sum is σ = 408300092928. Its totient is φ = 28361084928.

The previous prime is 113001222239. The next prime is 113001222241. The reversal of 113001222240 is 42222100311.

It is a happy number.

113001222240 is a `hidden beast` number, since 1 + 1 + 300 + 122 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (113001222239) and next prime (113001222241).

It is a tau number, because it is divible by the number of its divisors (144).

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 (113001222241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283552 + ... + 2332511.

It is an arithmetic number, because the mean of its divisors is an integer number (2835417312).

Almost surely, 2113001222240 is an apocalyptic number.

113001222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113001222240 is an abundant number, since it is smaller than the sum of its proper divisors (295298870688).

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

113001222240 is a wasteful number, since it uses less digits than its factorization.

113001222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616101 (or 4616090 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113001222240 its reverse (42222100311), we get a palindrome (155223322551).

It can be divided in two parts, 113001 and 222240, that added together give a square (335241 = 5792).

The spelling of 113001222240 in words is "one hundred thirteen billion, one million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 4616063 9232126 13848189 18464252 23080315 27696378 36928504 41544567 46160630 55392756 69240945 73857008 78473071 83089134 92321260 110785512 138481890 147714016 156946142 166178268 184642520 207722835 221571024 235419213 276963780 313892284 332356536 369285040 392365355 415445670 443142048 470838426 553927560 627784568 664713072 706257639 738570080 784730710 830891340 941676852 1107855120 1177096065 1255569136 1329426144 1412515278 1569461420 1661782680 1883353704 2215710240 2354192130 2511138272 2825030556 3138922840 3323565360 3531288195 3766707408 4708384260 5650061112 6277845680 6647130720 7062576390 7533414816 9416768520 11300122224 12555691360 14125152780 18833537040 22600244448 28250305560 37667074080 56500611120 113001222240