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132203434242420 = 22335367667087669
BaseRepresentation
bin11110000011110100000010…
…101111000111000101110100
3122100002112011122021102012000
4132003310002233013011310
5114312010113131224140
61145101230320455300
736563245225556232
oct3603640257070564
9570075148242160
10132203434242420
1139140186103392
12129b1ab277a530
13589c965790518
142490974c91952
151043dac268a30
hex783d02bc7174

132203434242420 has 96 divisors (see below), whose sum is σ = 412420281100800. Its totient is φ = 35158188454272.

The previous prime is 132203434242413. The next prime is 132203434242437. The reversal of 132203434242420 is 24242434302231.

132203434242420 is a `hidden beast` number, since 1 + 3 + 2 + 203 + 4 + 3 + 4 + 2 + 424 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333345655 + ... + 333742014.

It is an arithmetic number, because the mean of its divisors is an integer number (4296044594800).

Almost surely, 2132203434242420 is an apocalyptic number.

132203434242420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132203434242420 is an abundant number, since it is smaller than the sum of its proper divisors (280216846858380).

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

132203434242420 is a wasteful number, since it uses less digits than its factorization.

132203434242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667088054 (or 667088046 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 132203434242420 its reverse (24242434302231), we get a palindrome (156445868544651).

The spelling of 132203434242420 in words is "one hundred thirty-two trillion, two hundred three billion, four hundred thirty-four million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 367 540 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 9909 11010 13212 16515 19818 22020 33030 39636 49545 66060 99090 198180 667087669 1334175338 2001263007 2668350676 3335438345 4002526014 6003789021 6670876690 8005052028 10006315035 12007578042 13341753380 18011367063 20012630070 24015156084 30018945105 36022734126 40025260140 60037890210 72045468252 90056835315 120075780420 180113670630 244821174523 360227341260 489642349046 734463523569 979284698092 1224105872615 1468927047138 2203390570707 2448211745230 2937854094276 3672317617845 4406781141414 4896423490460 6610171712121 7344635235690 8813562282828 11016952853535 13220343424242 14689270471380 22033905707070 26440686848484 33050858560605 44067811414140 66101717121210 132203434242420