Search a number
-
+
10033202222120 = 2357114179452029
BaseRepresentation
bin1001001000000000100101…
…1101000101010000101000
31022112011110010001220010202
42102000021131011100220
52303340444232101440
633201104531531332
72053606050516560
oct222001135052050
938464403056122
1010033202222120
11321906a0a8a10
121160603159b48
1357a185a896bc
1426987697dda0
15125ebec58615
hex92009745428

10033202222120 has 128 divisors (see below), whose sum is σ = 28831552646400. Its totient is φ = 3050957875200.

The previous prime is 10033202222107. The next prime is 10033202222143. The reversal of 10033202222120 is 2122220233001.

It is a happy number.

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 = 10033202222092 and 10033202222101.

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, 39599735 + ... + 39852294.

It is an arithmetic number, because the mean of its divisors is an integer number (225246505050).

Almost surely, 210033202222120 is an apocalyptic number.

10033202222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033202222120 is an abundant number, since it is smaller than the sum of its proper divisors (18798350424280).

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

10033202222120 is a wasteful number, since it uses less digits than its factorization.

10033202222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79452099 (or 79452095 counting only the distinct ones).

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

Adding to 10033202222120 its reverse (2122220233001), we get a palindrome (12155422455121).

The spelling of 10033202222120 in words is "ten trillion, thirty-three billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 41 44 55 56 70 77 82 88 110 140 154 164 205 220 280 287 308 328 385 410 440 451 574 616 770 820 902 1148 1435 1540 1640 1804 2255 2296 2870 3080 3157 3608 4510 5740 6314 9020 11480 12628 15785 18040 25256 31570 63140 126280 79452029 158904058 317808116 397260145 556164203 635616232 794520290 873972319 1112328406 1589040580 1747944638 2224656812 2780821015 3178081160 3257533189 3495889276 4369861595 4449313624 5561642030 6117806233 6515066378 6991778552 8739723190 11123284060 12235612466 13030132756 16287665945 17479446380 22246568120 22802732323 24471224932 26060265512 30589031165 32575331890 34958892760 35832865079 45605464646 48942449864 61178062330 65150663780 71665730158 91210929292 114013661615 122356124660 130301327560 143331460316 179164325395 182421858584 228027323230 244712249320 250830055553 286662920632 358328650790 456054646460 501660111106 716657301580 912109292920 1003320222212 1254150277765 1433314603160 2006640444424 2508300555530 5016601111060 10033202222120