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1022340432201 = 3112531272511667
BaseRepresentation
bin11101110000010000011…
…11010000000101001001
310121201211122212222010220
432320020033100011021
5113222223122312301
62101353503300253
7133601356202304
oct16701017200511
93551748788126
101022340432201
11364632581300
121461778aa689
1375538803aaa
14376a54c3b3b
151b8d7bdd936
hexee083d0149

1022340432201 has 96 divisors (see below), whose sum is σ = 1545652813824. Its totient is φ = 600359760000.

The previous prime is 1022340432193. The next prime is 1022340432209.

It is a happy number.

1022340432201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1022340432193) and next prime (1022340432209).

It is not a de Polignac number, because 1022340432201 - 23 = 1022340432193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022340432209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613280770 + ... + 613282436.

It is an arithmetic number, because the mean of its divisors is an integer number (16100550144).

Almost surely, 21022340432201 is an apocalyptic number.

1022340432201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022340432201 is a deficient number, since it is larger than the sum of its proper divisors (523312381623).

1022340432201 is a wasteful number, since it uses less digits than its factorization.

1022340432201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1022340 and 432201, that added together give a palindrome (1454541).

The spelling of 1022340432201 in words is "one trillion, twenty-two billion, three hundred forty million, four hundred thirty-two thousand, two hundred one".

Divisors: 1 3 11 33 53 121 127 159 251 363 381 583 753 1397 1667 1749 2761 4191 5001 6413 6731 8283 13303 15367 18337 19239 20193 30371 31877 39909 46101 55011 74041 88351 91113 95631 146333 201707 211709 222123 265053 350647 418417 438999 605121 635127 814451 971861 1051941 1255251 1609663 1689481 2328799 2443353 2915583 3857117 4602587 4828989 5068443 6986397 10690471 11220577 11571351 13807761 18584291 22176101 25616789 32071413 33661731 50628457 53138959 55752873 66528303 76850367 123426347 151885371 159416877 204427201 243937111 370279041 584528549 613281603 731811333 1357689817 1753585647 2683308221 2816364827 4073069451 6429814039 8049924663 8449094481 19289442117 30980013097 92940039291 340780144067 1022340432201