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11101122196 = 2217312257661
BaseRepresentation
bin10100101011010110…
…11010111010010100
31001122122201102210221
422111223122322110
5140213341402241
65033315324124
7542044660513
oct122553327224
931578642727
1011101122196
11478732645a
1221998b0644
13107bb71b78
147744b467a
1544e8b65d1
hex295adae94

11101122196 has 72 divisors (see below), whose sum is σ = 21369653928. Its totient is φ = 5028249600.

The previous prime is 11101122187. The next prime is 11101122199. The reversal of 11101122196 is 69122110111.

It can be written as a sum of positive squares in 4 ways, for example, as 8137844100 + 2963278096 = 90210^2 + 54436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11101122196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101122199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16794106 + ... + 16794766.

It is an arithmetic number, because the mean of its divisors is an integer number (296800749).

Almost surely, 211101122196 is an apocalyptic number.

It is an amenable number.

11101122196 is a deficient number, since it is larger than the sum of its proper divisors (10268531732).

11101122196 is a wasteful number, since it uses less digits than its factorization.

11101122196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 11101122196 in words is "eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 17 31 34 62 68 124 257 514 527 661 961 1028 1054 1322 1922 2108 2644 3844 4369 7967 8738 11237 15934 16337 17476 20491 22474 31868 32674 40982 44948 65348 81964 135439 169877 246977 270878 339754 348347 493954 541756 635221 679508 696694 987908 1270442 1393388 2540884 2887909 4198609 5266187 5775818 8397218 10532374 10798757 11551636 16794436 21064748 21597514 43195028 89525179 163251797 179050358 326503594 358100716 653007188 2775280549 5550561098 11101122196