Search a number
-
+
135103062553329 = 31321294120591567
BaseRepresentation
bin11110101110000000100010…
…000011010011001011110001
3122201100201121201111120210210
4132232000202003103023301
5120202012033003201304
61155201253510414333
740312605556545213
oct3656004203231361
9581321551446723
10135103062553329
113a0589837554a2
121319ba663613a9
135a502197a2600
1425510476125b3
151094519d02c89
hex7ae0220d32f1

135103062553329 has 24 divisors (see below), whose sum is σ = 195075125476992. Its totient is φ = 83133917580480.

The previous prime is 135103062553309. The next prime is 135103062553351. The reversal of 135103062553329 is 923355260301531.

It is not a de Polignac number, because 135103062553329 - 25 = 135103062553297 is a prime.

It is a super-4 number, since 4×1351030625533294 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (135103062553309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3734697 + ... + 16856870.

It is an arithmetic number, because the mean of its divisors is an integer number (8128130228208).

Almost surely, 2135103062553329 is an apocalyptic number.

It is an amenable number.

135103062553329 is a deficient number, since it is larger than the sum of its proper divisors (59972062923663).

135103062553329 is a wasteful number, since it uses less digits than its factorization.

135103062553329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20604537 (or 20604524 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 48.

The spelling of 135103062553329 in words is "one hundred thirty-five trillion, one hundred three billion, sixty-two million, five hundred fifty-three thousand, three hundred twenty-nine".

Divisors: 1 3 13 39 169 507 12941 38823 168233 504699 2187029 6561087 20591567 61774701 267690371 803071113 3479974823 10439924469 266475468547 799426405641 3464181091111 10392543273333 45034354184443 135103062553329