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201331416 = 233112135333
BaseRepresentation
bin11000000000000…
…01001011011000
3112000211200210010
430000001023120
5403020101131
631551121520
74663201026
oct1400011330
9460750703
10201331416
11a3712300
12575132a0
1332932320
141ca4b716
1512a1db46
hexc0012d8

201331416 has 96 divisors (see below), whose sum is σ = 595914480. Its totient is φ = 56305920.

The previous prime is 201331399. The next prime is 201331433. The reversal of 201331416 is 614133102.

It is an interprime number because it is at equal distance from previous prime (201331399) and next prime (201331433).

It is a junction number, because it is equal to n+sod(n) for n = 201331392 and 201331401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35086 + ... + 40418.

Almost surely, 2201331416 is an apocalyptic number.

201331416 is a gapful number since it is divisible by the number (26) 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 201331416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297957240).

201331416 is an abundant number, since it is smaller than the sum of its proper divisors (394583064).

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

201331416 is a wasteful number, since it uses less digits than its factorization.

201331416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 201331416 is about 14189.1302059006. The cubic root of 201331416 is about 586.0983732934.

Adding to 201331416 its reverse (614133102), we get a palindrome (815464518).

The spelling of 201331416 in words is "two hundred one million, three hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1452 1573 1716 2904 3146 3432 4719 5333 6292 9438 10666 12584 15999 18876 21332 31998 37752 42664 58663 63996 69329 117326 127992 138658 175989 207987 234652 277316 351978 415974 469304 554632 645293 703956 762619 831948 1290586 1407912 1525238 1663896 1935879 2287857 2581172 3050476 3871758 4575714 5162344 6100952 7743516 8388809 9151428 15487032 16777618 18302856 25166427 33555236 50332854 67110472 100665708 201331416