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102311216 = 2472373527
BaseRepresentation
bin1100001100100…
…10010100110000
321010111221121022
412012102110300
5202142424331
614052515012
72351426300
oct606222460
9233457538
10102311216
115282aa27
122a31ba68
13182727a7
14d833600
158eae67b
hex6192530

102311216 has 60 divisors (see below), whose sum is σ = 236891088. Its totient is φ = 42650496.

The previous prime is 102311207. The next prime is 102311227. The reversal of 102311216 is 612113201.

It is a junction number, because it is equal to n+sod(n) for n = 102311194 and 102311203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27245 + ... + 30771.

Almost surely, 2102311216 is an apocalyptic number.

102311216 is a gapful number since it is divisible by the number (16) 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 102311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118445544).

102311216 is an abundant number, since it is smaller than the sum of its proper divisors (134579872).

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

102311216 is a wasteful number, since it uses less digits than its factorization.

102311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102311216 is about 10114.9006915540. The cubic root of 102311216 is about 467.7075875641.

Adding to 102311216 its reverse (612113201), we get a palindrome (714424417).

The spelling of 102311216 in words is "one hundred two million, three hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1813 2072 3527 3626 4144 7054 7252 14108 14504 24689 28216 29008 49378 56432 98756 130499 172823 197512 260998 345646 395024 521996 691292 913493 1043992 1382584 1826986 2087984 2765168 3653972 6394451 7307944 12788902 14615888 25577804 51155608 102311216