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22020300131220 = 22325294218448301
BaseRepresentation
bin1010000000111000000000…
…01010101100101110010100
32212222010020120120212111200
411000130000022230232110
510341240033313144340
6114455553005232500
74431625364550666
oct500340012545624
985863216525450
1022020300131220
11701a8363a0976
122577821b62730
13c39675468471
14561b06bdc536
15282bea117330
hex1407002acb94

22020300131220 has 72 divisors (see below), whose sum is σ = 69098183186760. Its totient is φ = 5669594515200.

The previous prime is 22020300131101. The next prime is 22020300131231. The reversal of 22020300131220 is 2213100302022.

22020300131220 is a `hidden beast` number, since 220 + 20 + 300 + 1 + 3 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2126148929424 + 19894151201796 = 1458132^2 + 4460286^2 .

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 = 22020300131193 and 22020300131202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109218931 + ... + 2109229370.

It is an arithmetic number, because the mean of its divisors is an integer number (959696988705).

Almost surely, 222020300131220 is an apocalyptic number.

22020300131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020300131220 is an abundant number, since it is smaller than the sum of its proper divisors (47077883055540).

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

22020300131220 is a wasteful number, since it uses less digits than its factorization.

22020300131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218448345 (or 4218448340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22020300131220 its reverse (2213100302022), we get a palindrome (24233400433242).

The spelling of 22020300131220 in words is "twenty-two trillion, twenty billion, three hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 4218448301 8436896602 12655344903 16873793204 21092241505 25310689806 37966034709 42184483010 50621379612 63276724515 75932069418 84368966020 122335000729 126553449030 151864138836 189830173545 244670001458 253106898060 367005002187 379660347090 489340002916 611675003645 734010004374 759320694180 1101015006561 1223350007290 1468020008748 1835025010935 2202030013122 2446700014580 3670050021870 4404060026244 5505075032805 7340100043740 11010150065610 22020300131220