Search a number
-
+
1110022122120 = 233547672937499
BaseRepresentation
bin10000001001110010011…
…110010110101010001000
310221010011100110022200220
4100021302132112222020
5121141311130401440
62205534230230040
7143124245234322
oct20116236265210
93833140408626
101110022122120
1139883760574a
1215b1681b5320
13808a023ca52
143ba22548612
151dd1a77d8d0
hex10272796a88

1110022122120 has 128 divisors (see below), whose sum is σ = 3451680000000. Its totient is φ = 285383805696.

The previous prime is 1110022122101. The next prime is 1110022122127. The reversal of 1110022122120 is 212212200111.

It is a super-2 number, since 2×11100221221202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1110022122120.

It is not an unprimeable number, because it can be changed into a prime (1110022122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090870 + ... + 1846629.

It is an arithmetic number, because the mean of its divisors is an integer number (26966250000).

Almost surely, 21110022122120 is an apocalyptic number.

1110022122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110022122120 is an abundant number, since it is smaller than the sum of its proper divisors (2341657877880).

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

1110022122120 is a wasteful number, since it uses less digits than its factorization.

1110022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937627 (or 2937623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1110022122120 its reverse (212212200111), we get a palindrome (1322234322231).

The spelling of 1110022122120 in words is "one trillion, one hundred ten billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 67 94 120 134 141 188 201 235 268 282 335 376 402 470 536 564 670 705 804 940 1005 1128 1340 1410 1608 1880 2010 2680 2820 3149 4020 5640 6298 8040 9447 12596 15745 18894 25192 31490 37788 47235 62980 75576 94470 125960 188940 377880 2937499 5874998 8812497 11749996 14687495 17624994 23499992 29374990 35249988 44062485 58749980 70499976 88124970 117499960 138062453 176249940 196812433 276124906 352499880 393624866 414187359 552249812 590437299 690312265 787249732 828374718 984062165 1104499624 1180874598 1380624530 1574499464 1656749436 1968124330 2070936795 2361749196 2761249060 2952186495 3313498872 3936248660 4141873590 4723498392 5522498120 5904372990 7872497320 8283747180 9250184351 11808745980 16567494360 18500368702 23617491960 27750553053 37000737404 46250921755 55501106106 74001474808 92501843510 111002212212 138752765265 185003687020 222004424424 277505530530 370007374040 555011061060 1110022122120