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101216380 = 2252947279
BaseRepresentation
bin1100000100001…
…11000001111100
321001110022202211
412002013001330
5201402411010
614013230204
72336216326
oct602070174
9231408684
10101216380
1152152401
1229a92364
1317c7b365
14d62a616
158d4508a
hex608707c

101216380 has 72 divisors (see below), whose sum is σ = 227505600. Its totient is φ = 37774464.

The previous prime is 101216371. The next prime is 101216383. The reversal of 101216380 is 83612101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101216383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281181 + ... + 1281259.

It is an arithmetic number, because the mean of its divisors is an integer number (3159800).

Almost surely, 2101216380 is an apocalyptic number.

101216380 is a gapful number since it is divisible by the number (10) 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 101216380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113752800).

101216380 is an abundant number, since it is smaller than the sum of its proper divisors (126289220).

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

101216380 is a wasteful number, since it uses less digits than its factorization.

101216380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 101216380 is about 10060.6351688151. The cubic root of 101216380 is about 466.0332824504.

Adding to 101216380 its reverse (83612101), we get a palindrome (184828481).

The spelling of 101216380 in words is "one hundred one million, two hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 47 58 79 94 116 145 158 188 235 290 316 395 470 580 790 940 1363 1580 2209 2291 2726 3713 4418 4582 5452 6815 7426 8836 9164 11045 11455 13630 14852 18565 22090 22910 27260 37130 44180 45820 64061 74260 107677 128122 174511 215354 256244 320305 349022 430708 538385 640610 698044 872555 1076770 1281220 1745110 2153540 3490220 5060819 10121638 20243276 25304095 50608190 101216380