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112432302020 = 2251926723469
BaseRepresentation
bin110100010110101111…
…1001100011111000100
3101202012121012201111002
41220231133030133010
53320230132131040
6123352314232432
711060114540663
oct1505537143704
9352177181432
10112432302020
1143756115675
1219959425718
13a7aa3b557c
145628250dda
152dd08eea15
hex1a2d7cc7c4

112432302020 has 108 divisors (see below), whose sum is σ = 253036265580. Its totient is φ = 41957917056.

The previous prime is 112432302019. The next prime is 112432302023. The reversal of 112432302020 is 20203234211.

It can be written as a sum of positive squares in 2 ways, for example, as 17527641664 + 94904660356 = 132392^2 + 308066^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112432301983 and 112432302001.

It is not an unprimeable number, because it can be changed into a prime (112432302023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32408846 + ... + 32412314.

It is an arithmetic number, because the mean of its divisors is an integer number (2342928385).

Almost surely, 2112432302020 is an apocalyptic number.

112432302020 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 112432302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126518132790).

112432302020 is an abundant number, since it is smaller than the sum of its proper divisors (140603963560).

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

112432302020 is a wasteful number, since it uses less digits than its factorization.

112432302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 112432302020 its reverse (20203234211), we get a palindrome (132635536231).

The spelling of 112432302020 in words is "one hundred twelve billion, four hundred thirty-two million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 361 380 670 722 1273 1340 1444 1805 2546 3469 3610 4489 5092 6365 6938 7220 8978 12730 13876 17345 17956 22445 24187 25460 34690 44890 48374 65911 69380 85291 89780 96748 120935 131822 170582 232423 241870 263644 329555 341164 426455 464846 483740 659110 852910 929692 1162115 1252309 1318220 1620529 1705820 2324230 2504618 3241058 4416037 4648460 5009236 6261545 6482116 8102645 8832074 12523090 15572341 16205290 17664148 22080185 25046180 31144682 32410580 44160370 62289364 77861705 83904703 88320740 155723410 167809406 295874479 311446820 335618812 419523515 591748958 839047030 1183497916 1479372395 1678094060 2958744790 5621615101 5917489580 11243230202 22486460404 28108075505 56216151010 112432302020