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1022520243213 = 337371109131849
BaseRepresentation
bin11101110000100101111…
…01001011010000001101
310121202022012020022111000
432320102331023100031
5113223110140240323
62101423405250513
7133606001442540
oct16702275132015
93552265208430
101022520243213
11364715024a47
12146207b63a39
1375566b3c941
14376c132c857
151b8e88aae43
hexee12f4b40d

1022520243213 has 64 divisors (see below), whose sum is σ = 1779658560000. Its totient is φ = 567988526592.

The previous prime is 1022520243211. The next prime is 1022520243221. The reversal of 1022520243213 is 3123420252201.

1022520243213 is a `hidden beast` number, since 1 + 0 + 2 + 25 + 202 + 432 + 1 + 3 = 666.

1022520243213 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 1022520243213 - 21 = 1022520243211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022520243211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7689313 + ... + 7821161.

It is an arithmetic number, because the mean of its divisors is an integer number (27807165000).

Almost surely, 21022520243213 is an apocalyptic number.

It is an amenable number.

1022520243213 is a deficient number, since it is larger than the sum of its proper divisors (757138316787).

1022520243213 is a wasteful number, since it uses less digits than its factorization.

1022520243213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133011 (or 133005 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1022520243213 its reverse (3123420252201), we get a palindrome (4145940495414).

The spelling of 1022520243213 in words is "one trillion, twenty-two billion, five hundred twenty million, two hundred forty-three thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 1109 2331 3327 6993 7763 9981 23289 29943 41033 69867 123099 131849 209601 287231 369297 395547 861693 922943 1107891 1186641 2585079 2768829 3559923 4878413 7755237 8306487 14635239 24919461 34148891 43905717 102446673 131717151 146220541 307340019 438661623 922020057 1023543787 1315984869 3070631361 3947954607 5410160017 9211894083 16230480051 27635682249 37871120119 48691440153 113613360357 146074320459 340840081071 1022520243213