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110051216 = 241141101151
BaseRepresentation
bin1101000111100…
…11111110010000
321200002011212222
412203303332100
5211133114331
614530440212
72504264012
oct643637620
9250064788
10110051216
1157137120
1230a33068
1319a52782
141088a1b2
1599dcb7b
hex68f3f90

110051216 has 80 divisors (see below), whose sum is σ = 242234496. Its totient is φ = 48000000.

The previous prime is 110051213. The next prime is 110051219. The reversal of 110051216 is 612150011.

It is an interprime number because it is at equal distance from previous prime (110051213) and next prime (110051219).

It is a super-2 number, since 2×1100512162 = 24222540286157312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110051194 and 110051203.

It is not an unprimeable number, because it can be changed into a prime (110051213) 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, 728741 + ... + 728891.

Almost surely, 2110051216 is an apocalyptic number.

110051216 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 110051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121117248).

110051216 is an abundant number, since it is smaller than the sum of its proper divisors (132183280).

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

110051216 is a wasteful number, since it uses less digits than its factorization.

110051216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 110051216 is about 10490.5298245608. The cubic root of 110051216 is about 479.2163370043.

It can be divided in two parts, 11005 and 1216, that added together give a palindrome (12221).

The spelling of 110051216 in words is "one hundred ten million, fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 101 151 164 176 202 302 328 404 451 604 656 808 902 1111 1208 1616 1661 1804 2222 2416 3322 3608 4141 4444 6191 6644 7216 8282 8888 12382 13288 15251 16564 17776 24764 26576 30502 33128 45551 49528 61004 66256 68101 91102 99056 122008 136202 167761 182204 244016 272404 335522 364408 544808 625291 671044 728816 1089616 1250582 1342088 2501164 2684176 5002328 6878201 10004656 13756402 27512804 55025608 110051216