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1022011202212 = 2271121347493709
BaseRepresentation
bin11101101111101001001…
…11010101101010100100
310121200222201101100111121
432313310213111222210
5113221034331432322
62101301102543324
7133560250612150
oct16676447255244
93550881340447
101022011202212
11364483752a00
121460a5597b44
13754b5540650
14376738a2060
151b8b8d58ec7
hexedf49d5aa4

1022011202212 has 144 divisors (see below), whose sum is σ = 2471046197760. Its totient is φ = 359735397120.

The previous prime is 1022011202209. The next prime is 1022011202287. The reversal of 1022011202212 is 2122021102201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823214 + ... + 2316922.

It is an arithmetic number, because the mean of its divisors is an integer number (17160043040).

Almost surely, 21022011202212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022011202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235523098880).

1022011202212 is an abundant number, since it is smaller than the sum of its proper divisors (1449034995548).

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

1022011202212 is a wasteful number, since it uses less digits than its factorization.

1022011202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493802 (or 493789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022011202212 its reverse (2122021102201), we get a palindrome (3144032304413).

The spelling of 1022011202212 in words is "one trillion, twenty-two billion, eleven million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 52 77 91 94 121 143 154 182 188 242 286 308 329 364 484 517 572 611 658 847 1001 1034 1222 1316 1573 1694 2002 2068 2444 3146 3388 3619 4004 4277 5687 6292 6721 7238 8554 11011 11374 13442 14476 17108 22022 22748 26884 39809 44044 47047 73931 79618 94094 147862 159236 188188 295724 493709 517517 987418 1035034 1974836 2070068 3455963 5430799 6418217 6911926 10861598 12836434 13823852 21723196 23204323 25672868 38015593 44927519 46408646 59738789 70600387 76031186 89855038 92817292 119477578 141200774 152062372 162430261 179710076 238955156 255247553 282401548 301656199 324860522 418171523 494202709 510495106 603312398 649721044 776604257 836343046 988405418 1020990212 1206624796 1553208514 1672686092 1786732871 1976810836 2111593393 2807723083 3106417028 3318218189 3573465742 4223186786 5436229799 5615446166 6636436378 7146931484 8446373572 10872459598 11230892332 13272872756 19654061581 21744919196 23227527323 36500400079 39308123162 46455054646 73000800158 78616246324 92910109292 146001600316 255502800553 511005601106 1022011202212