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123031216 = 24711372699
BaseRepresentation
bin1110101010101…
…00111010110000
322120111122002201
413111110322300
5222443444331
620112552544
73022514410
oct725247260
9276448081
10123031216
11634a21a0
1235252754
131c648849
14124a8640
15ac03a61
hex7554eb0

123031216 has 80 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 46621440.

The previous prime is 123031177. The next prime is 123031217. The reversal of 123031216 is 612130321.

It is a super-2 number, since 2×1230312162 = 30273360220877312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123031193 and 123031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123031217) 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, 44235 + ... + 46933.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2123031216 is an apocalyptic number.

123031216 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 123031216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

123031216 is an abundant number, since it is smaller than the sum of its proper divisors (182306384).

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

123031216 is a wasteful number, since it uses less digits than its factorization.

123031216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2756 counting only the distinct ones).

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

The square root of 123031216 is about 11091.9437430957. The cubic root of 123031216 is about 497.3610510674.

Adding to 123031216 its reverse (612130321), we get a palindrome (735161537).

The spelling of 123031216 in words is "one hundred twenty-three million, thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 296 308 407 518 592 616 814 1036 1232 1628 2072 2699 2849 3256 4144 5398 5698 6512 10796 11396 18893 21592 22792 29689 37786 43184 45584 59378 75572 99863 118756 151144 199726 207823 237512 302288 399452 415646 475024 699041 798904 831292 1098493 1398082 1597808 1662584 2196986 2796164 3325168 4393972 5592328 7689451 8787944 11184656 15378902 17575888 30757804 61515608 123031216