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20220133022120 = 2351929917428903
BaseRepresentation
bin1001001100011110111011…
…10110001001100110101000
32122121000200211120200110002
410212033131312021212220
510122241313023201440
6111001000104442132
74154566513601243
oct446173566114650
978530624520402
1020220133022120
116496345a53799
122326969779348
13b3899a713a45
144dc93417025a
15250e8aaa0115
hex1263ddd899a8

20220133022120 has 64 divisors (see below), whose sum is σ = 49541160816000. Its totient is φ = 7398146665728.

The previous prime is 20220133022087. The next prime is 20220133022189. The reversal of 20220133022120 is 2122033102202.

It is a happy number.

It is a super-4 number, since 4×202201330221204 (a number of 54 digits) contains 4444 as substring.

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 = 20220133022092 and 20220133022101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458692412 + ... + 458736491.

It is an arithmetic number, because the mean of its divisors is an integer number (774080637750).

Almost surely, 220220133022120 is an apocalyptic number.

20220133022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220133022120 is an abundant number, since it is smaller than the sum of its proper divisors (29321027793880).

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

20220133022120 is a wasteful number, since it uses less digits than its factorization.

20220133022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917428962 (or 917428958 counting only the distinct ones).

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

Adding to 20220133022120 its reverse (2122033102202), we get a palindrome (22342166124322).

The spelling of 20220133022120 in words is "twenty trillion, two hundred twenty billion, one hundred thirty-three million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 4408 5510 11020 22040 917428903 1834857806 3669715612 4587144515 7339431224 9174289030 17431149157 18348578060 26605438187 34862298314 36697156120 53210876374 69724596628 87155745785 106421752748 133027190935 139449193256 174311491570 212843505496 266054381870 348622983140 505503325553 532108763740 697245966280 1011006651106 1064217527480 2022013302212 2527516627765 4044026604424 5055033255530 10110066511060 20220133022120