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112304412024240 = 24357611146753623
BaseRepresentation
bin11001100010001111101000…
…100101011101110110110000
3112201122012022120022201021110
4121202033220211131312300
5104204443413434233430
61034503533514553320
732440504010525562
oct3142175045356660
9481565276281243
10112304412024240
11328690408aa3a7
1210719420438840
134a88350747457
141da37c389b332
15ceb4673b07b0
hex6623e895ddb0

112304412024240 has 160 divisors (see below), whose sum is σ = 348638061021696. Its totient is φ = 29905324001280.

The previous prime is 112304412024199. The next prime is 112304412024247. The reversal of 112304412024240 is 42420214403211.

It is a super-2 number, since 2×1123044120242402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112304412024198 and 112304412024207.

It is not an unprimeable number, because it can be changed into a prime (112304412024247) 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, 2094306069 + ... + 2094359691.

Almost surely, 2112304412024240 is an apocalyptic number.

112304412024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112304412024240 is an abundant number, since it is smaller than the sum of its proper divisors (236333648997456).

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

112304412024240 is a wasteful number, since it uses less digits than its factorization.

112304412024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65867 (or 65861 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 112304412024240 its reverse (42420214403211), we get a palindrome (154724626427451).

The spelling of 112304412024240 in words is "one hundred twelve trillion, three hundred four billion, four hundred twelve million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 761 1522 2283 3044 3805 4566 6088 7610 9132 11415 11467 12176 15220 18264 22830 22934 30440 34401 36528 45660 45868 53623 57335 60880 68802 91320 91736 107246 114670 137604 160869 172005 182640 183472 214492 229340 268115 275208 321738 344010 428984 458680 536230 550416 643476 688020 804345 857968 917360 1072460 1286952 1376040 1608690 2144920 2573904 2752080 3217380 4289840 6434760 8726387 12869520 17452774 26179161 34905548 40807103 43631935 52358322 69811096 81614206 87263870 104716644 122421309 130895805 139622192 163228412 174527740 204035515 209433288 244842618 261791610 326456824 349055480 408071030 418866576 489685236 523583220 612106545 614894941 652913648 698110960 816142060 979370472 1047166440 1224213090 1229789882 1632284120 1844684823 1958740944 2094332880 2448426180 2459579764 3074474705 3264568240 3689369646 4896852360 4919159528 6148949410 7378739292 9223424115 9793704720 9838319056 12297898820 14757478584 18446848230 24595797640 29514957168 36893696460 49191595280 73787392920 147574785840 467935050101 935870100202 1403805150303 1871740200404 2339675250505 2807610300606 3743480400808 4679350501010 5615220601212 7019025751515 7486960801616 9358701002020 11230441202424 14038051503030 18717402004040 22460882404848 28076103006060 37434804008080 56152206012120 112304412024240