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112122211020 = 223523373217823
BaseRepresentation
bin110100001101100000…
…0010010101011001100
3101201101222201110121020
41220123000102223030
53314111241223040
6123301440034140
711046331032411
oct1503300225314
9351358643536
10112122211020
1143607079716
1219891602950
13a75b093681
1455d8db2108
152db359acd0
hex1a1b012acc

112122211020 has 96 divisors (see below), whose sum is σ = 328471621632. Its totient is φ = 28522483968.

The previous prime is 112122211007. The next prime is 112122211021. The reversal of 112122211020 is 20112221211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (112122211021) 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, 405829 + ... + 623651.

It is an arithmetic number, because the mean of its divisors is an integer number (3421579392).

Almost surely, 2112122211020 is an apocalyptic number.

112122211020 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 112122211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164235810816).

112122211020 is an abundant number, since it is smaller than the sum of its proper divisors (216349410612).

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

112122211020 is a wasteful number, since it uses less digits than its factorization.

112122211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218231 (or 218229 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112122211020 its reverse (20112221211), we get a palindrome (132234432231).

The spelling of 112122211020 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 373 460 690 746 1119 1380 1492 1865 2238 3730 4476 5595 7460 8579 11190 17158 22380 25737 34316 42895 51474 85790 102948 128685 171580 217823 257370 435646 514740 653469 871292 1089115 1306938 2178230 2613876 3267345 4356460 5009929 6534690 10019858 13069380 15029787 20039716 25049645 30059574 50099290 60119148 75148935 81247979 100198580 150297870 162495958 243743937 300595740 324991916 406239895 487487874 812479790 974975748 1218719685 1624959580 1868703517 2437439370 3737407034 4874878740 5606110551 7474814068 9343517585 11212221102 18687035170 22424442204 28030552755 37374070340 56061105510 112122211020