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101221332 = 223171134391
BaseRepresentation
bin1100000100010…
…00001111010100
321001110120120020
412002020033110
5201403040312
614013305140
72336236632
oct602101724
9231416506
10101221332
11521560a3
1229a951b0
1317c806a4
14d62c352
158d4678c
hex60883d4

101221332 has 48 divisors (see below), whose sum is σ = 252346752. Its totient is φ = 31467520.

The previous prime is 101221331. The next prime is 101221399. The reversal of 101221332 is 233122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20857 + ... + 25247.

It is an arithmetic number, because the mean of its divisors is an integer number (5257224).

Almost surely, 2101221332 is an apocalyptic number.

101221332 is a gapful number since it is divisible by the number (12) 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 101221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126173376).

101221332 is an abundant number, since it is smaller than the sum of its proper divisors (151125420).

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

101221332 is a wasteful number, since it uses less digits than its factorization.

101221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101221332 is about 10060.8812735267. The cubic root of 101221332 is about 466.0408825350.

Adding to 101221332 its reverse (233122101), we get a palindrome (334343433).

The spelling of 101221332 in words is "one hundred one million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3842 4391 5763 7684 8782 11526 13173 17564 23052 26346 52692 74647 149294 223941 298588 447882 496183 895764 992366 1488549 1984732 2977098 5954196 8435111 16870222 25305333 33740444 50610666 101221332