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213111201131130 = 235294143138942373
BaseRepresentation
bin110000011101001011010001…
…011100001110101001111010
31000221120020021000200100101010
4300131023101130032221322
5210413103214442144010
62033125533444134350
762613530142155541
oct6035132134165172
91027506230610333
10213111201131130
11619a3a53271805
121ba9a4660973b6
1391bb3b9243473
143a8a8cc575158
1519987a0ece620
hexc1d2d170ea7a

213111201131130 has 128 divisors (see below), whose sum is σ = 554613495448320. Its totient is φ = 52286793431040.

The previous prime is 213111201131099. The next prime is 213111201131201. The reversal of 213111201131130 is 31131102111312.

213111201131130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213111201131097 and 213111201131106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67937377 + ... + 71004996.

It is an arithmetic number, because the mean of its divisors is an integer number (4332917933190).

Almost surely, 2213111201131130 is an apocalyptic number.

213111201131130 is an abundant number, since it is smaller than the sum of its proper divisors (341502294317190).

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

213111201131130 is a wasteful number, since it uses less digits than its factorization.

213111201131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138942496.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 213111201131130 its reverse (31131102111312), we get a palindrome (244242303242442).

The spelling of 213111201131130 in words is "two hundred thirteen trillion, one hundred eleven billion, two hundred one million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 41 43 58 82 86 87 123 129 145 174 205 215 246 258 290 410 430 435 615 645 870 1189 1230 1247 1290 1763 2378 2494 3526 3567 3741 5289 5945 6235 7134 7482 8815 10578 11890 12470 17630 17835 18705 26445 35670 37410 51127 52890 102254 153381 255635 306762 511270 766905 1533810 138942373 277884746 416827119 694711865 833654238 1389423730 2084135595 4029328817 4168271190 5696637293 5974522039 8058657634 11393274586 11949044078 12087986451 17089911879 17923566117 20146644085 24175972902 28483186465 29872610195 34179823758 35847132234 40293288170 56966372930 59745220390 60439932255 85449559395 89617830585 120879864510 165202481497 170899118790 173261139131 179235661170 244955403599 330404962994 346522278262 489910807198 495607444491 519783417393 734866210797 826012407485 866305695655 991214888982 1039566834786 1224777017995 1469732421594 1652024814970 1732611391310 2449554035990 2478037222455 2598917086965 3674331053985 4956074444910 5197834173930 7103706704371 7348662107970 14207413408742 21311120113113 35518533521855 42622240226226 71037067043710 106555600565565 213111201131130