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212220011001 = 3374759689467
BaseRepresentation
bin1100010110100101001…
…1000110000111111001
3202021202222101120012110
43011221103012013321
511434111310323001
6241254215202533
721222003221145
oct3055123060771
9667688346173
10212220011001
1182002733349
1235168076449
1317020c2640b
14a3b3010225
1557c11a33d6
hex31694c61f9

212220011001 has 32 divisors (see below), whose sum is σ = 301821511680. Its totient is φ = 132443660736.

The previous prime is 212220010963. The next prime is 212220011009. The reversal of 212220011001 is 100110022212.

212220011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212220011001 - 29 = 212220010489 is a prime.

It is a super-2 number, since 2×2122200110012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212220011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36931 + ... + 652536.

It is an arithmetic number, because the mean of its divisors is an integer number (9431922240).

Almost surely, 2212220011001 is an apocalyptic number.

It is an amenable number.

212220011001 is a deficient number, since it is larger than the sum of its proper divisors (89601500679).

212220011001 is a wasteful number, since it uses less digits than its factorization.

212220011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689613.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212220011001 its reverse (100110022212), we get a palindrome (312330033213).

The spelling of 212220011001 in words is "two hundred twelve billion, two hundred twenty million, eleven thousand, one".

Divisors: 1 3 37 47 59 111 141 177 1739 2183 2773 5217 6549 8319 102601 307803 689467 2068401 25510279 32404949 40678553 76530837 97214847 122035659 1198983113 1505106461 1911891991 3596949339 4515319383 5735675973 70740003667 212220011001