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133456403110420 = 225131934783556043
BaseRepresentation
bin11110010110000010111101…
…100000000001101000010100
3122111112022022012020211001101
4132112002331200001220110
5114443022203144013140
61151501005240035444
740052623036325665
oct3626027540015024
9574468265224041
10133456403110420
11395835a7399a45
1212b748b3462b84
135960b66c1c170
1424d547812b36c
15106679228d99a
hex7960bd801a14

133456403110420 has 96 divisors (see below), whose sum is σ = 303444580787712. Its totient is φ = 49010556100608.

The previous prime is 133456403110411. The next prime is 133456403110439. The reversal of 133456403110420 is 24011304654331.

It is a super-2 number, since 2×1334564031104202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133456403110420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239732919 + ... + 240288961.

It is an arithmetic number, because the mean of its divisors is an integer number (3160881049872).

Almost surely, 2133456403110420 is an apocalyptic number.

133456403110420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133456403110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151722290393856).

133456403110420 is an abundant number, since it is smaller than the sum of its proper divisors (169988177677292).

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

133456403110420 is a wasteful number, since it uses less digits than its factorization.

133456403110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561041 (or 561039 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 133456403110420 its reverse (24011304654331), we get a palindrome (157467707764751).

The spelling of 133456403110420 in words is "one hundred thirty-three trillion, four hundred fifty-six billion, four hundred three million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 4783 5018 9566 10036 12545 19132 23915 25090 47830 50180 62179 95660 124358 248716 310895 556043 621790 923119 1112086 1243580 1846238 2224172 2780215 3692476 4615595 5560430 7228559 9231190 11120860 12000547 14457118 18462380 24001094 28914236 36142795 48002188 60002735 72285590 107316299 120005470 144571180 214632598 240010940 429265196 536581495 1073162990 1395111887 2146325980 2659553669 2790223774 5319107338 5580447548 6975559435 10638214676 13297768345 13951118870 26595536690 27902237740 34574197697 53191073380 69148395394 138296790788 172870988485 345741976970 513293858117 691483953940 1026587716234 2053175432468 2566469290585 5132938581170 6672820155521 10265877162340 13345640311042 26691280622084 33364100777605 66728201555210 133456403110420