Search a number
-
+
10221010222101 = 3722314419209659
BaseRepresentation
bin1001010010111100001110…
…1011101111110000010101
31100012010012202221210202220
42110233003223233300111
52314430112104101401
633423244533052553
72103305106262200
oct224570353576025
940163182853686
1010221010222101
11329078489a038
121190a97787159
13591ab622b183
142749b1744937
1512ad12b83336
hex94bc3aefc15

10221010222101 has 48 divisors (see below), whose sum is σ = 16543482278400. Its totient is φ = 5586225033312.

The previous prime is 10221010222097. The next prime is 10221010222141. The reversal of 10221010222101 is 10122201012201.

It is not a de Polignac number, because 10221010222101 - 22 = 10221010222097 is a prime.

It is a super-3 number, since 3×102210102221013 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221010222141) 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, 48645810 + ... + 48855468.

It is an arithmetic number, because the mean of its divisors is an integer number (344655880800).

Almost surely, 210221010222101 is an apocalyptic number.

It is an amenable number.

10221010222101 is a deficient number, since it is larger than the sum of its proper divisors (6322472056299).

10221010222101 is a wasteful number, since it uses less digits than its factorization.

10221010222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224118 (or 224111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221010222101 its reverse (10122201012201), we get a palindrome (20343211234302).

The spelling of 10221010222101 in words is "ten trillion, two hundred twenty-one billion, ten million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 21 23 49 69 147 161 483 1127 3381 14419 43257 100933 209659 302799 331637 628977 706531 994911 1467613 2119593 2321459 4402839 4822157 6964377 10273291 14466471 16250213 30819873 33755099 48750639 101265297 236285693 708857079 3023073121 9069219363 21161511847 63484535541 69530681783 148130582929 208592045349 444391748787 486714772481 1460144317443 3407003407367 10221010222101