Search a number
-
+
120322010112210 = 23253189484563691
BaseRepresentation
bin11011010110111010100110…
…101010111110000011010010
3120210000200010202121121111200
4123112322212222332003102
5111232323434042042320
61103523100211052030
734225656402033054
oct3326724652760322
9523020122547450
10120322010112210
113537a306a13595
12115b32658a1016
13521a41720b1ca
14219d88b4258d4
15dd9cb928e290
hex6d6ea6abe0d2

120322010112210 has 96 divisors (see below), whose sum is σ = 326557163312640. Its totient is φ = 30701955398400.

The previous prime is 120322010112209. The next prime is 120322010112211. The reversal of 120322010112210 is 12211010223021.

120322010112210 is a `hidden beast` number, since 1 + 20 + 322 + 0 + 1 + 0 + 112 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (120322010112209) and next prime (120322010112211).

It is a super-2 number, since 2×1203220101122102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120322010112211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242033536 + ... + 242530155.

It is an arithmetic number, because the mean of its divisors is an integer number (3401637117840).

Almost surely, 2120322010112210 is an apocalyptic number.

120322010112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120322010112210 is an abundant number, since it is smaller than the sum of its proper divisors (206235153200430).

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

120322010112210 is a wasteful number, since it uses less digits than its factorization.

120322010112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484563824 (or 484563821 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120322010112210 its reverse (12211010223021), we get a palindrome (132533020335231).

The spelling of 120322010112210 in words is "one hundred twenty trillion, three hundred twenty-two billion, ten million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 89 90 93 155 178 186 267 279 310 445 465 534 558 801 890 930 1335 1395 1602 2670 2759 2790 4005 5518 8010 8277 13795 16554 24831 27590 41385 49662 82770 124155 248310 484563691 969127382 1453691073 2422818455 2907382146 4361073219 4845636910 7268455365 8722146438 14536910730 15021474421 21805366095 30042948842 43126168499 43610732190 45064423263 75107372105 86252336998 90128846526 129378505497 135193269789 150214744210 215630842495 225322116315 258757010994 270386539578 388135516491 431261684990 450644232630 646892527485 675966348945 776271032982 1293785054970 1336911223469 1351932697890 1940677582455 2673822446938 3881355164910 4010733670407 6684556117345 8021467340814 12032201011221 13369112234690 20053668352035 24064402022442 40107336704070 60161005056105 120322010112210