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135351311025 = 35271726956377
BaseRepresentation
bin111111000001110010…
…0010001101010110001
3110221100212101000022110
41332003210101222301
54204144413423100
6142102440155533
712531063106140
oct1760344215261
9427325330273
10135351311025
1152447317327
1222294a68ba9
13c9c0758268
1467a0099757
1537c2a62250
hex1f83911ab1

135351311025 has 96 divisors (see below), whose sum is σ = 271805103360. Its totient is φ = 58017669120.

The previous prime is 135351310993. The next prime is 135351311027. The reversal of 135351311025 is 520113153531.

It is not a de Polignac number, because 135351311025 - 25 = 135351310993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135351310983 and 135351311001.

It is not an unprimeable number, because it can be changed into a prime (135351311027) 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, 2372637 + ... + 2429013.

It is an arithmetic number, because the mean of its divisors is an integer number (2831303160).

Almost surely, 2135351311025 is an apocalyptic number.

135351311025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135351311025 is an abundant number, since it is smaller than the sum of its proper divisors (136453792335).

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

135351311025 is a wasteful number, since it uses less digits than its factorization.

135351311025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56683 (or 56678 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

Adding to 135351311025 its reverse (520113153531), we get a palindrome (655464464556).

The spelling of 135351311025 in words is "one hundred thirty-five billion, three hundred fifty-one million, three hundred eleven thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 269 357 425 525 595 807 1275 1345 1785 1883 2975 4035 4573 5649 6725 8925 9415 13719 20175 22865 28245 32011 47075 56377 68595 96033 114325 141225 160055 169131 281885 342975 394639 480165 800275 845655 958409 1183917 1409425 1973195 2400825 2875227 4228275 4792045 5919585 6708863 9865975 14376135 15165413 20126589 23960225 29597925 33544315 45496239 71880675 75827065 100632945 106157891 167721575 227481195 257812021 318473673 379135325 503164725 530789455 773436063 1137405975 1289060105 1592368365 1804684147 2653947275 3867180315 5414052441 6445300525 7961841825 9023420735 19335901575 27070262205 45117103675 135351311025