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1022122110020 = 2251123732767129
BaseRepresentation
bin11101101111110110011…
…10011010110001000100
310121201021110002001102012
432313323032122301010
5113221301230010040
62101320104033352
7133563065404424
oct16677316326104
93551243061365
101022122110020
11364530314650
12146116762858
1375502502c7b
14376844d2484
151b8c3965865
hexedfb39ac44

1022122110020 has 96 divisors (see below), whose sum is σ = 2476869131520. Its totient is φ = 350650460160.

The previous prime is 1022122110019. The next prime is 1022122110049. The reversal of 1022122110020 is 200112212201.

It is a junction number, because it is equal to n+sod(n) for n = 1022122109977 and 1022122110004.

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 31 ways as a sum of consecutive naturals, for example, 1014185 + ... + 1752944.

It is an arithmetic number, because the mean of its divisors is an integer number (25800720120).

Almost surely, 21022122110020 is an apocalyptic number.

1022122110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022122110020 is an abundant number, since it is smaller than the sum of its proper divisors (1454747021500).

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

1022122110020 is a wasteful number, since it uses less digits than its factorization.

1022122110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767245 (or 2767243 counting only the distinct ones).

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

Adding to 1022122110020 its reverse (200112212201), we get a palindrome (1222234322221).

The spelling of 1022122110020 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 73 92 110 115 146 220 230 253 292 365 460 506 730 803 1012 1265 1460 1606 1679 2530 3212 3358 4015 5060 6716 8030 8395 16060 16790 18469 33580 36938 73876 92345 184690 369380 2767129 5534258 11068516 13835645 27671290 30438419 55342580 60876838 63643967 121753676 127287934 152192095 202000417 254575868 304384190 318219835 404000834 608768380 636439670 700083637 808001668 1010002085 1272879340 1400167274 2020004170 2222004587 2800334548 3500418185 4040008340 4444009174 4646009591 7000836370 8888018348 9292019182 11110022935 14001672740 18584038364 22220045870 23230047955 44440091740 46460095910 51106105501 92920191820 102212211002 204424422004 255530527505 511061055010 1022122110020