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132213010100 = 22521322130101
BaseRepresentation
bin111101100100010000…
…0100110111010110100
3110122021011002210202212
41323020200212322310
54131233012310400
6140423211352552
712360235020563
oct1731040467264
9418234083685
10132213010100
11510868853a6
1221759a52758
13c61050cb72
146583371bda
15368c2a0335
hex1ec8826eb4

132213010100 has 18 divisors (see below), whose sum is σ = 286902232134. Its totient is φ = 52885204000.

The previous prime is 132213010093. The next prime is 132213010213. The reversal of 132213010100 is 1010312231.

It can be written as a sum of positive squares in 3 ways, for example, as 179613604 + 132033396496 = 13402^2 + 363364^2 .

It is a super-3 number, since 3×1322130101003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 661064951 + ... + 661065150.

Almost surely, 2132213010100 is an apocalyptic number.

132213010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213010100 is an abundant number, since it is smaller than the sum of its proper divisors (154689222034).

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

132213010100 is a wasteful number, since it uses less digits than its factorization.

132213010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322130115 (or 1322130108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 132213010100 its reverse (1010312231), we get a palindrome (133223322331).

The spelling of 132213010100 in words is "one hundred thirty-two billion, two hundred thirteen million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1322130101 2644260202 5288520404 6610650505 13221301010 26442602020 33053252525 66106505050 132213010100