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11121016350 = 23521923169657
BaseRepresentation
bin10100101101101110…
…10011111000011110
31001201001011011110110
422112313103320132
5140233440010400
65035305550450
7542406036123
oct122667237036
931631134413
1011121016350
114797584204
1221a44a5426
131083019062
14776db274a
154514e5e50
hex296dd3e1e

11121016350 has 96 divisors (see below), whose sum is σ = 30294132480. Its totient is φ = 2687351040.

The previous prime is 11121016349. The next prime is 11121016351. The reversal of 11121016350 is 5361012111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11121016349) and next prime (11121016351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121016351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19279 + ... + 150378.

It is an arithmetic number, because the mean of its divisors is an integer number (315563880).

Almost surely, 211121016350 is an apocalyptic number.

11121016350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121016350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147066240).

11121016350 is an abundant number, since it is smaller than the sum of its proper divisors (19173116130).

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

11121016350 is a wasteful number, since it uses less digits than its factorization.

11121016350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169714 (or 169709 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 11121016350 its reverse (5361012111), we get a palindrome (16482028461).

The spelling of 11121016350 in words is "eleven billion, one hundred twenty-one million, sixteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 23 25 30 38 46 50 57 69 75 95 114 115 138 150 190 230 285 345 437 475 570 575 690 874 950 1150 1311 1425 1725 2185 2622 2850 3450 4370 6555 10925 13110 21850 32775 65550 169657 339314 508971 848285 1017942 1696570 2544855 3223483 3902111 4241425 5089710 6446966 7804222 8482850 9670449 11706333 12724275 16117415 19340898 19510555 23412666 25448550 32234830 39021110 48352245 58531665 74140109 80587075 96704490 97552775 117063330 148280218 161174150 195105550 222420327 241761225 292658325 370700545 444840654 483522450 585316650 741401090 1112101635 1853502725 2224203270 3707005450 5560508175 11121016350