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112021032420 = 223251171796849
BaseRepresentation
bin110100001010011111…
…0010100110111100100
3101201010221100001122200
41220110332110313210
53313404341014140
6123243423254500
711043662031153
oct1502476246744
9351127301580
10112021032420
1143564a52740
121986374a430
13a74312958b
1455c979559a
152da9762030
hex1a14f94de4

112021032420 has 144 divisors (see below), whose sum is σ = 375909206400. Its totient is φ = 26774092800.

The previous prime is 112021032391. The next prime is 112021032463. The reversal of 112021032420 is 24230120211.

It is a happy number.

112021032420 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 210 + 32 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112021032393 and 112021032402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257845 + ... + 539004.

It is an arithmetic number, because the mean of its divisors is an integer number (2610480600).

Almost surely, 2112021032420 is an apocalyptic number.

112021032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112021032420 is an abundant number, since it is smaller than the sum of its proper divisors (263888173980).

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

112021032420 is a wasteful number, since it uses less digits than its factorization.

112021032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796946 (or 796941 counting only the distinct ones).

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

Adding to 112021032420 its reverse (24230120211), we get a palindrome (136251152631).

The spelling of 112021032420 in words is "one hundred twelve billion, twenty-one million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1065 1278 1420 1562 1980 2130 2343 2556 3124 3195 3905 4260 4686 6390 7029 7810 9372 11715 12780 14058 15620 23430 28116 35145 46860 70290 140580 796849 1593698 2390547 3187396 3984245 4781094 7171641 7968490 8765339 9562188 11952735 14343282 15936980 17530678 23905470 26296017 28686564 35061356 35858205 43826695 47810940 52592034 56576279 71716410 78888051 87653390 105184068 113152558 131480085 143432820 157776102 169728837 175306780 226305116 262960170 282881395 315552204 339457674 394440255 509186511 525920340 565762790 622339069 678915348 788880510 848644185 1018373022 1131525580 1244678138 1577761020 1697288370 1867017207 2036746044 2489356276 2545932555 3111695345 3394576740 3734034414 5091865110 5601051621 6223390690 7468068828 9335086035 10183730220 11202103242 12446781380 18670172070 22404206484 28005258105 37340344140 56010516210 112021032420