Search a number
-
+
120222120002100 = 223522937936460777
BaseRepresentation
bin11011010101011101100100…
…110000011100001000110100
3120202200010022020202020211220
4123111131210300130020310
5111224204400210031400
61103405140211230340
734215522131100204
oct3325354460341064
9522603266666756
10120222120002100
1135340a07614386
1211597a288a83b0
135210b883c598c
142198ad2c0c404
15dd73bea0e7a0
hex6d5764c1c234

120222120002100 has 144 divisors (see below), whose sum is σ = 360786690465600. Its totient is φ = 30872068254720.

The previous prime is 120222120002063. The next prime is 120222120002107. The reversal of 120222120002100 is 1200021222021.

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 120222120002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222120002107) 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, 14933089 + ... + 21527688.

Almost surely, 2120222120002100 is an apocalyptic number.

120222120002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222120002100 is an abundant number, since it is smaller than the sum of its proper divisors (240564570463500).

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

120222120002100 is a wasteful number, since it uses less digits than its factorization.

120222120002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36461202 (or 36461195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120222120002100 its reverse (1200021222021), we get a palindrome (121422141224121).

The spelling of 120222120002100 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 379 435 580 725 758 870 1137 1450 1516 1740 1895 2175 2274 2900 3790 4350 4548 5685 7580 8700 9475 10991 11370 18950 21982 22740 28425 32973 37900 43964 54955 56850 65946 109910 113700 131892 164865 219820 274775 329730 549550 659460 824325 1099100 1648650 3297300 36460777 72921554 109382331 145843108 182303885 218764662 364607770 437529324 546911655 729215540 911519425 1057362533 1093823310 1823038850 2114725066 2187646620 2734558275 3172087599 3646077700 4229450132 5286812665 5469116550 6344175198 10573625330 10938233100 12688350396 13818634483 15860437995 21147250660 26434063325 27637268966 31720875990 41455903449 52868126650 55274537932 63441751980 69093172415 79302189975 82911806898 105736253300 138186344830 158604379950 165823613796 207279517245 276372689660 317208759900 345465862075 400740400007 414559034490 690931724150 801480800014 829118068980 1036397586225 1202221200021 1381863448300 1602961600028 2003702000035 2072795172450 2404442400042 4007404000070 4145590344900 4808884800084 6011106000105 8014808000140 10018510000175 12022212000210 20037020000350 24044424000420 30055530000525 40074040000700 60111060001050 120222120002100