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101220132 = 223131514297
BaseRepresentation
bin1100000100001…
…11111100100100
321001110111220210
412002013330210
5201403021012
614013255420
72336233266
oct602077444
9231414823
10101220132
1152155202
1229a94570
1317c7cc90
14d62bb36
158d4623c
hex6087f24

101220132 has 48 divisors (see below), whose sum is σ = 256092032. Its totient is φ = 30931200.

The previous prime is 101220113. The next prime is 101220137. The reversal of 101220132 is 231022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101220137) 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, 21408 + ... + 25704.

Almost surely, 2101220132 is an apocalyptic number.

101220132 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 101220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128046016).

101220132 is an abundant number, since it is smaller than the sum of its proper divisors (154871900).

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

101220132 is a wasteful number, since it uses less digits than its factorization.

101220132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101220132 is about 10060.8216364271. The cubic root of 101220132 is about 466.0390408571.

Adding to 101220132 its reverse (231022101), we get a palindrome (332242233).

The spelling of 101220132 in words is "one hundred one million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 4297 5889 7852 8594 11778 12891 17188 23556 25782 51564 55861 111722 167583 223444 335166 648847 670332 1297694 1946541 2595388 3893082 7786164 8435011 16870022 25305033 33740044 50610066 101220132