Search a number
-
+
12210210101100 = 223521119194740193
BaseRepresentation
bin1011000110101110100100…
…1111000101011101101100
31121020021200112110122221110
42301223221033011131230
53100023002241213400
641545143150032020
72400105250256064
oct261535117053554
947207615418843
1012210210101100
113988359312090
1214525067a8610
136a75580ac0ab
14302d97ab43a4
15162937904e50
hexb1ae93c576c

12210210101100 has 144 divisors (see below), whose sum is σ = 40568277214080. Its totient is φ = 2804258764800.

The previous prime is 12210210101083. The next prime is 12210210101101. The reversal of 12210210101100 is 110101201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12210210101101) 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, 97307397 + ... + 97432796.

It is an arithmetic number, because the mean of its divisors is an integer number (281724147320).

Almost surely, 212210210101100 is an apocalyptic number.

12210210101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210210101100 is an abundant number, since it is smaller than the sum of its proper divisors (28358067112980).

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

12210210101100 is a wasteful number, since it uses less digits than its factorization.

12210210101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194740240 (or 194740233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210210101100 its reverse (110101201221), we get a palindrome (12320311302321).

The spelling of 12210210101100 in words is "twelve trillion, two hundred ten billion, two hundred ten million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 194740193 389480386 584220579 778960772 973700965 1168441158 1947401930 2142142123 2336882316 2921102895 3700063667 3894803860 4284284246 4868504825 5842205790 6426426369 7400127334 8568568492 9737009650 10710710615 11100191001 11684411580 12852852738 14605514475 14800254668 18500318335 19474019300 21421421230 22200382002 25705705476 29211028950 32132131845 37000636670 40700700337 42842842460 44400764004 53553553075 55500955005 58422057900 64264263690 74001273340 81401400674 92501591675 107107106150 111001910010 122102101011 128528527380 160660659225 162802801348 185003183350 203503501685 214214212300 222003820020 244204202022 277504775025 321321318450 370006366700 407007003370 488408404044 555009550050 610510505055 642642636900 814014006740 1017517508425 1110019100100 1221021010110 2035035016850 2442042020220 3052552525275 4070070033700 6105105050550 12210210101100