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112202111320 = 235131989127601
BaseRepresentation
bin110100001111111000…
…1000101100101011000
3101201121120001211012121
41220133301011211120
53314242220030240
6123313412351024
711051321132035
oct1503761054530
9351546054177
10112202111320
1143648191a22
12198b4315474
13a7717ba560
14560585038c
152dba5d004a
hex1a1fc45958

112202111320 has 128 divisors (see below), whose sum is σ = 289401336000. Its totient is φ = 38806732800.

The previous prime is 112202111311. The next prime is 112202111321. The reversal of 112202111320 is 23111202211.

It is a junction number, because it is equal to n+sod(n) for n = 112202111294 and 112202111303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202111321) 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, 815520 + ... + 943120.

Almost surely, 2112202111320 is an apocalyptic number.

112202111320 is a gapful number since it is divisible by the number (10) 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 112202111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144700668000).

112202111320 is an abundant number, since it is smaller than the sum of its proper divisors (177199224680).

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

112202111320 is a wasteful number, since it uses less digits than its factorization.

112202111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127733 (or 127729 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 112202111320 its reverse (23111202211), we get a palindrome (135313313531).

The spelling of 112202111320 in words is "one hundred twelve billion, two hundred two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 89 95 104 130 152 178 190 247 260 356 380 445 494 520 712 760 890 988 1157 1235 1691 1780 1976 2314 2470 3382 3560 4628 4940 5785 6764 8455 9256 9880 11570 13528 16910 21983 23140 33820 43966 46280 67640 87932 109915 127601 175864 219830 255202 439660 510404 638005 879320 1020808 1276010 1658813 2424419 2552020 3317626 4848838 5104040 6635252 8294065 9697676 11356489 12122095 13270504 16588130 19395352 22712978 24244190 31517447 33176260 45425956 48488380 56782445 63034894 66352520 90851912 96976760 113564890 126069788 147634357 157587235 215773291 227129780 252139576 295268714 315174470 431546582 454259560 590537428 630348940 738171785 863093164 1078866455 1181074856 1260697880 1476343570 1726186328 2157732910 2805052783 2952687140 4315465820 5610105566 5905374280 8630931640 11220211132 14025263915 22440422264 28050527830 56101055660 112202111320