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100036216 = 23719149631
BaseRepresentation
bin1011111011001…
…10111001111000
320222020100220001
411331212321320
5201102124331
613532042344
72323202530
oct575467170
9228210801
10100036216
1151516765
12296033b4
1317957137
14d4004c0
158bb0561
hex5f66e78

100036216 has 64 divisors (see below), whose sum is σ = 227520000. Its totient is φ = 40279680.

The previous prime is 100036193. The next prime is 100036217. The reversal of 100036216 is 612630001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 100036193 and 100036202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100036217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158221 + ... + 158851.

It is an arithmetic number, because the mean of its divisors is an integer number (3555000).

Almost surely, 2100036216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100036216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113760000).

100036216 is an abundant number, since it is smaller than the sum of its proper divisors (127483784).

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

100036216 is a wasteful number, since it uses less digits than its factorization.

100036216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100036216 is about 10001.8106360798. The cubic root of 100036216 is about 464.2149098587.

Adding to 100036216 its reverse (612630001), we get a palindrome (712666217).

The spelling of 100036216 in words is "one hundred million, thirty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 149 152 266 298 532 596 631 1043 1064 1192 1262 2086 2524 2831 4172 4417 5048 5662 8344 8834 11324 11989 17668 19817 22648 23978 35336 39634 47956 79268 83923 94019 95912 158536 167846 188038 335692 376076 658133 671384 752152 1316266 1786361 2632532 3572722 5265064 7145444 12504527 14290888 25009054 50018108 100036216