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112021202020 = 225721354116253
BaseRepresentation
bin110100001010011111…
…0111110010001100100
3101201010221122200022011
41220110332332101210
53313404411431040
6123243431044004
711043663335500
oct1502476762144
9351127580264
10112021202020
1143565059102
1219863810604
13a743188830
1455c97db300
152da97973ea
hex1a14fbe464

112021202020 has 144 divisors (see below), whose sum is σ = 295264832688. Its totient is φ = 35385154560.

The previous prime is 112021201937. The next prime is 112021202087. The reversal of 112021202020 is 20202120211.

It is a happy number.

112021202020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5322286116 + 106698915904 = 72954^2 + 326648^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 6884214 + ... + 6900466.

It is an arithmetic number, because the mean of its divisors is an integer number (2050450227).

Almost surely, 2112021202020 is an apocalyptic number.

112021202020 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 112021202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147632416344).

112021202020 is an abundant number, since it is smaller than the sum of its proper divisors (183243630668).

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

112021202020 is a wasteful number, since it uses less digits than its factorization.

112021202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16830 (or 16821 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112021202020 its reverse (20202120211), we get a palindrome (132223322231).

The spelling of 112021202020 in words is "one hundred twelve billion, twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 541 637 910 980 1082 1274 1820 2164 2548 2705 3185 3787 5410 6370 7033 7574 10820 12740 14066 15148 16253 18935 26509 28132 32506 35165 37870 49231 53018 65012 70330 75740 81265 98462 106036 113771 132545 140660 162530 196924 211289 227542 246155 265090 325060 344617 422578 455084 492310 530180 568855 689234 796397 845156 984620 1056445 1137710 1378468 1479023 1592794 1723085 2112890 2275420 2958046 3185588 3446170 3981985 4225780 5916092 6892340 7395115 7963970 8792873 10353161 14790230 15927940 17585746 20706322 29580460 35171492 41412644 43964365 51765805 61550111 87928730 103531610 114307349 123100222 175857460 207063220 228614698 246200444 307750555 430850777 457229396 571536745 615501110 800151443 861701554 1143073490 1231002220 1600302886 1723403108 2154253885 2286146980 3200605772 4000757215 4308507770 5601060101 8001514430 8617015540 11202120202 16003028860 22404240404 28005300505 56010601010 112021202020