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1121122002020 = 2251729151753007
BaseRepresentation
bin10000010100001000000…
…101000010010001100100
310222011210220211122101212
4100110020011002101210
5121332024213031040
62215011503210552
7143666306532236
oct20241005022144
93864726748355
101121122002020
113a2513162809
121613455a6a58
138194ba68317
143c3967b8256
151e269e9bd65
hex10508142464

1121122002020 has 96 divisors (see below), whose sum is σ = 2595889658880. Its totient is φ = 404816025600.

The previous prime is 1121122001977. The next prime is 1121122002031. The reversal of 1121122002020 is 202002211211.

It is a junction number, because it is equal to n+sod(n) for n = 1121122001986 and 1121122002004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112357 + ... + 1865363.

It is an arithmetic number, because the mean of its divisors is an integer number (27040517280).

Almost surely, 21121122002020 is an apocalyptic number.

1121122002020 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 1121122002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297944829440).

1121122002020 is an abundant number, since it is smaller than the sum of its proper divisors (1474767656860).

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

1121122002020 is a wasteful number, since it uses less digits than its factorization.

1121122002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753213 (or 753211 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1121122002020 its reverse (202002211211), we get a palindrome (1323124213231).

The spelling of 1121122002020 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 151 170 290 302 340 493 580 604 755 986 1510 1972 2465 2567 3020 4379 4930 5134 8758 9860 10268 12835 17516 21895 25670 43790 51340 74443 87580 148886 297772 372215 744430 753007 1488860 1506014 3012028 3765035 7530070 12801119 15060140 21837203 25602238 43674406 51204476 64005595 87348812 109186015 113704057 128011190 218372030 227408114 256022380 371232451 436744060 454816228 568520285 742464902 1137040570 1484929804 1856162255 1932968969 2274081140 3297417653 3712324510 3865937938 6594835306 7424649020 7731875876 9664844845 13189670612 16487088265 19329689690 32974176530 38659379380 56056100101 65948353060 112112200202 224224400404 280280500505 560561001010 1121122002020