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135311022 = 232711233419
BaseRepresentation
bin10000001000010…
…10111010101110
3100102121111211100
420010022322232
5234114423042
621232103530
73232060530
oct1004127256
9312544740
10135311022
116a41a1a0
1239394ba6
1322057cc2
1413d83850
15bd2c24c
hex810aeae

135311022 has 96 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 34911360.

The previous prime is 135311021. The next prime is 135311039. The reversal of 135311022 is 220113531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135310986 and 135311004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135311021) 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, 322729 + ... + 323147.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2135311022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135311022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

135311022 is an abundant number, since it is smaller than the sum of its proper divisors (232649298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135311022 is a wasteful number, since it uses less digits than its factorization.

135311022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135311022 is about 11632.3265944522. The cubic root of 135311022 is about 513.3864375076.

Adding to 135311022 its reverse (220113531), we get a palindrome (355424553).

The spelling of 135311022 in words is "one hundred thirty-five million, three hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 233 419 462 466 693 699 838 1257 1386 1398 1631 2097 2514 2563 2933 3262 3771 4194 4609 4893 5126 5866 7542 7689 8799 9218 9786 13827 14679 15378 17598 17941 23067 26397 27654 29358 32263 35882 41481 46134 52794 53823 64526 82962 96789 97627 107646 161469 193578 195254 290367 292881 322938 580734 585762 683389 878643 1073897 1366778 1757286 2050167 2147794 3221691 4100334 6150501 6443382 7517279 9665073 12301002 15034558 19330146 22551837 45103674 67655511 135311022