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101214192 = 24317711747
BaseRepresentation
bin1100000100001…
…10011111110000
321001110012202210
412002012133300
5201402323232
614013212120
72336210052
oct602063760
9231405683
10101214192
11521507a2
1229a91040
1317c7a371
14d6298d2
158d445cc
hex60867f0

101214192 has 80 divisors (see below), whose sum is σ = 280910592. Its totient is φ = 31288320.

The previous prime is 101214187. The next prime is 101214193. The reversal of 101214192 is 291412101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214193) 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, 57063 + ... + 58809.

Almost surely, 2101214192 is an apocalyptic number.

101214192 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 101214192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140455296).

101214192 is an abundant number, since it is smaller than the sum of its proper divisors (179696400).

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

101214192 is a wasteful number, since it uses less digits than its factorization.

101214192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 101214192 is about 10060.5264275782. The cubic root of 101214192 is about 466.0299243372.

Adding to 101214192 its reverse (291412101), we get a palindrome (392626293).

The spelling of 101214192 in words is "one hundred one million, two hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 272 284 408 426 568 816 852 1136 1207 1704 1747 2414 3408 3494 3621 4828 5241 6988 7242 9656 10482 13976 14484 19312 20964 27952 28968 29699 41928 57936 59398 83856 89097 118796 124037 178194 237592 248074 356388 372111 475184 496148 712776 744222 992296 1425552 1488444 1984592 2108629 2976888 4217258 5953776 6325887 8434516 12651774 16869032 25303548 33738064 50607096 101214192