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1101012198 = 2311132275653
BaseRepresentation
bin100000110100000…
…0001110011100110
32211201202012210120
41001220001303212
54223324342243
6301130302410
736166310046
oct10150016346
92751665716
101101012198
11515546840
12268887a06
13147146610
14a6323726
15669d5c83
hex41a01ce6

1101012198 has 64 divisors (see below), whose sum is σ = 2598849792. Its totient is φ = 306564480.

The previous prime is 1101012197. The next prime is 1101012257. The reversal of 1101012198 is 8912101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101012197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191940 + ... + 197592.

It is an arithmetic number, because the mean of its divisors is an integer number (40607028).

Almost surely, 21101012198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101012198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299424896).

1101012198 is an abundant number, since it is smaller than the sum of its proper divisors (1497837594).

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

1101012198 is a wasteful number, since it uses less digits than its factorization.

1101012198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909.

The product of its (nonzero) digits is 144, while the sum is 24.

The square root of 1101012198 is about 33181.5038538039. The cubic root of 1101012198 is about 1032.5966462267.

The spelling of 1101012198 in words is "one billion, one hundred one million, twelve thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 227 286 429 454 681 858 1362 2497 2951 4994 5653 5902 7491 8853 11306 14982 16959 17706 32461 33918 62183 64922 73489 97383 124366 146978 186549 194766 220467 373098 440934 808379 1283231 1616758 2425137 2566462 3849693 4850274 7699386 14115541 16682003 28231082 33364006 42346623 50046009 84693246 100092018 183502033 367004066 550506099 1101012198