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1022202012141 = 33433565315467
BaseRepresentation
bin11101101111111111111…
…11001110000111101101
310121201111000102111112000
432313333333032013231
5113221432203342031
62101332040402513
7133565055512262
oct16677777160755
93551430374460
101022202012141
11364571429262
12146139476439
1375515c2a92b
1437690d71269
151b8ca99a3e6
hexedfffce1ed

1022202012141 has 32 divisors (see below), whose sum is σ = 1518237409920. Its totient is φ = 679729957632.

The previous prime is 1022202012127. The next prime is 1022202012179. The reversal of 1022202012141 is 1412102022201.

1022202012141 is a `hidden beast` number, since 102 + 220 + 201 + 2 + 141 = 666.

It is not a de Polignac number, because 1022202012141 - 215 = 1022201979373 is a prime.

It is a super-2 number, since 2×10222020121412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022202012121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66081490 + ... + 66096956.

It is an arithmetic number, because the mean of its divisors is an integer number (47444919060).

Almost surely, 21022202012141 is an apocalyptic number.

It is an amenable number.

1022202012141 is a deficient number, since it is larger than the sum of its proper divisors (496035397779).

1022202012141 is a wasteful number, since it uses less digits than its factorization.

1022202012141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21562 (or 21556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022202012141 its reverse (1412102022201), we get a palindrome (2434304034342).

The spelling of 1022202012141 in words is "one trillion, twenty-two billion, two hundred two million, twelve thousand, one hundred forty-one".

Divisors: 1 3 9 27 433 1299 3897 5653 11691 15467 16959 46401 50877 139203 152631 417609 2447749 6697211 7343247 20091633 22029741 60274899 66089223 87434951 180824697 262304853 786914559 2360743677 37859333783 113578001349 340734004047 1022202012141