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135325445311320 = 233511303073382693
BaseRepresentation
bin11110110001001111101001…
…000110001100101101011000
3122202010222121221220012000220
4132301033221012030231120
5120214133002444430240
61155451352405000040
740334640455031345
oct3661175106145530
9582128557805026
10135325445311320
113a134220a50aa0
1213216b899b3020
135a6819a029084
14255bb0222b7cc
15109a1d32b05d0
hex7b13e918cb58

135325445311320 has 128 divisors (see below), whose sum is σ = 442898019728640. Its totient is φ = 32805076400640.

The previous prime is 135325445311307. The next prime is 135325445311471. The reversal of 135325445311320 is 23113544523531.

135325445311320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1353254453113202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38313894 + ... + 41696586.

It is an arithmetic number, because the mean of its divisors is an integer number (3460140779130).

Almost surely, 2135325445311320 is an apocalyptic number.

135325445311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135325445311320 is an abundant number, since it is smaller than the sum of its proper divisors (307572574417320).

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

135325445311320 is a wasteful number, since it uses less digits than its factorization.

135325445311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413025 (or 3413021 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 135325445311320 its reverse (23113544523531), we get a palindrome (158438989834851).

The spelling of 135325445311320 in words is "one hundred thirty-five trillion, three hundred twenty-five billion, four hundred forty-five million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 30307 60614 90921 121228 151535 181842 242456 303070 333377 363684 454605 606140 666754 727368 909210 1000131 1212280 1333508 1666885 1818420 2000262 2667016 3333770 3382693 3636840 4000524 5000655 6667540 6765386 8001048 10001310 10148079 13335080 13530772 16913465 20002620 20296158 27061544 33826930 37209623 40005240 40592316 50740395 67653860 74419246 81184632 101480790 111628869 135307720 148838492 186048115 202961580 223257738 297676984 372096230 405923160 446515476 558144345 744192460 893030952 1116288690 1488384920 2232577380 4465154760 102519276751 205038553502 307557830253 410077107004 512596383755 615115660506 820154214008 1025192767510 1127712044261 1230231321012 1537789151265 2050385535020 2255424088522 2460462642024 3075578302530 3383136132783 4100771070040 4510848177044 5638560221305 6151156605060 6766272265566 9021696354088 11277120442610 12302313210120 13532544531132 16915680663915 22554240885220 27065089062264 33831361327830 45108481770440 67662722655660 135325445311320