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132202033231232 = 2759131631329907
BaseRepresentation
bin11110000011110010101111…
…001110101011010110000000
3122100002101120000000200010202
4132003302233032223112000
5114311444231001344412
61145100435312144332
736563165424302426
oct3603625716532600
9570071500020122
10132202033231232
113913a6272939a8
12129b17815380a8
13589c7a1449713
142490880b99116
151043d292743c2
hex783caf3ab580

132202033231232 has 64 divisors (see below), whose sum is σ = 267855706353600. Its totient is φ = 64975674929664.

The previous prime is 132202033231211. The next prime is 132202033231237. The reversal of 132202033231232 is 232132330202231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132202033231195 and 132202033231204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202033231237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98742023 + ... + 100071929.

It is an arithmetic number, because the mean of its divisors is an integer number (4185245411775).

Almost surely, 2132202033231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132202033231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133927853176800).

132202033231232 is an abundant number, since it is smaller than the sum of its proper divisors (135653673122368).

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

132202033231232 is a wasteful number, since it uses less digits than its factorization.

132202033231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343143 (or 1343131 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 132202033231232 its reverse (232132330202231), we get a palindrome (364334363433463).

The spelling of 132202033231232 in words is "one hundred thirty-two trillion, two hundred two billion, thirty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 7552 13163 26326 52652 105304 210608 421216 776617 842432 1329907 1553234 1684864 2659814 3106468 5319628 6212936 10639256 12425872 21278512 24851744 42557024 49703488 78464513 85114048 99406976 156929026 170228096 313858052 627716104 1255432208 2510864416 5021728832 10043457664 17505565841 35011131682 70022263364 140044526728 280089053456 560178106912 1032828384619 1120356213824 2065656769238 2240712427648 4131313538476 8262627076952 16525254153904 33050508307808 66101016615616 132202033231232