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20102220221220 = 22335184812014303
BaseRepresentation
bin1001001001000011010011…
…01100100000101100100100
32122011202100021211202212000
410210201221230200230210
510113323321334034340
6110430455452125300
74143223520406354
oct444415154405444
978152307752760
1020102220221220
116450338284205
122307b40a66830
13b2a828a84b37
144d6d4a100b64
1524cd88e83d30
hex124869b20b24

20102220221220 has 96 divisors (see below), whose sum is σ = 62543655767040. Its totient is φ = 5360299338240.

The previous prime is 20102220221207. The next prime is 20102220221261. The reversal of 20102220221220 is 2212202220102.

20102220221220 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 220 + 221 + 220 = 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 = 20102220221193 and 20102220221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8972589 + ... + 10986891.

It is an arithmetic number, because the mean of its divisors is an integer number (651496414240).

Almost surely, 220102220221220 is an apocalyptic number.

20102220221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102220221220 is an abundant number, since it is smaller than the sum of its proper divisors (42441435545820).

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

20102220221220 is a wasteful number, since it uses less digits than its factorization.

20102220221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032802 (or 2032794 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20102220221220 its reverse (2212202220102), we get a palindrome (22314422441322).

The spelling of 20102220221220 in words is "twenty trillion, one hundred two billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 18481 36962 55443 73924 92405 110886 166329 184810 221772 277215 332658 369620 498987 554430 665316 831645 997974 1108860 1663290 1995948 2014303 2494935 3326580 4028606 4989870 6042909 8057212 9979740 10071515 12085818 18128727 20143030 24171636 30214545 36257454 40286060 54386181 60429090 72514908 90643635 108772362 120858180 181287270 217544724 271930905 362574540 543861810 1087723620 37226333743 74452667486 111679001229 148905334972 186131668715 223358002458 335037003687 372263337430 446716004916 558395006145 670074007374 744526674860 1005111011061 1116790012290 1340148014748 1675185018435 2010222022122 2233580024580 3350370036870 4020444044244 5025555055305 6700740073740 10051110110610 20102220221220