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1002222022120 = 2351119909113187
BaseRepresentation
bin11101001010110010001…
…01100110110111101000
310112210220120112211210121
432211121011212313220
5112410022314201440
62044225304053024
7132256665425434
oct16453105466750
93483816484717
101002222022120
11357049227010
121422a2164174
137368073ab27
14367175b79c4
151b10b88334a
hexe959166de8

1002222022120 has 128 divisors (see below), whose sum is σ = 2589954393600. Its totient is φ = 345198931200.

The previous prime is 1002222022099. The next prime is 1002222022189. The reversal of 1002222022120 is 212202222001.

It is a junction number, because it is equal to n+sod(n) for n = 1002222022094 and 1002222022103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75994167 + ... + 76007353.

It is an arithmetic number, because the mean of its divisors is an integer number (20234018700).

Almost surely, 21002222022120 is an apocalyptic number.

1002222022120 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 1002222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294977196800).

1002222022120 is an abundant number, since it is smaller than the sum of its proper divisors (1587732371480).

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

1002222022120 is a wasteful number, since it uses less digits than its factorization.

1002222022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22319 (or 22315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1002222022120 its reverse (212202222001), we get a palindrome (1214424244121).

The spelling of 1002222022120 in words is "one trillion, two billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 9091 13187 18182 26374 36364 45455 52748 65935 72728 90910 100001 105496 131870 145057 172729 181820 200002 250553 263740 290114 345458 363640 400004 500005 501106 527480 580228 690916 725285 800008 863645 1000010 1002212 1160456 1252765 1381832 1450570 1727290 1900019 2000020 2004424 2505530 2756083 2901140 3454580 3800038 4000040 5011060 5512166 5802280 6909160 7600076 9500095 10022120 11024332 13780415 15200152 19000190 22048664 27560830 38000380 55121660 76000760 110243320 119883017 239766034 479532068 599415085 959064136 1198830170 1318713187 2277777323 2397660340 2637426374 4555554646 4795320680 5274852748 6593565935 9111109292 10549705496 11388886615 13187131870 18222218584 22777773230 25055550553 26374263740 45555546460 50111101106 52748527480 91111092920 100222202212 125277752765 200444404424 250555505530 501111011060 1002222022120