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132213222020 = 225113061196331
BaseRepresentation
bin111101100100010000…
…1011010101010000100
3110122021011111120110202
41323020201122222010
54131233041101040
6140423220110032
712360236562455
oct1731041325204
9418234446422
10132213222020
1151086a0a640
1221759b35318
13c610585469
1465833c912c
15368c2e3015
hex1ec885aa84

132213222020 has 48 divisors (see below), whose sum is σ = 302988966336. Its totient is φ = 48061584000.

The previous prime is 132213222017. The next prime is 132213222049. The reversal of 132213222020 is 20222312231.

It is a happy number.

It is a super-3 number, since 3×1322132220203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132213221983 and 132213222001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575255 + ... + 771585.

It is an arithmetic number, because the mean of its divisors is an integer number (6312270132).

Almost surely, 2132213222020 is an apocalyptic number.

132213222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213222020 is an abundant number, since it is smaller than the sum of its proper divisors (170775744316).

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

132213222020 is a wasteful number, since it uses less digits than its factorization.

132213222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199412 (or 199410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132213222020 its reverse (20222312231), we get a palindrome (152435534251).

The spelling of 132213222020 in words is "one hundred thirty-two billion, two hundred thirteen million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3061 6122 12244 15305 30610 33671 61220 67342 134684 168355 196331 336710 392662 673420 785324 981655 1963310 2159641 3926620 4319282 8638564 10798205 21596410 43192820 600969191 1201938382 2403876764 3004845955 6009691910 6610661101 12019383820 13221322202 26442644404 33053305505 66106611010 132213222020