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1101199488 = 27310726801
BaseRepresentation
bin100000110100010…
…1111100010000000
32211202002201201020
41001220233202000
54223401340423
6301134305440
736201020064
oct10150574200
92752081636
101101199488
11515664524
12268958280
131471b093c
14a6371aa4
1566a214e3
hex41a2f880

1101199488 has 64 divisors (see below), whose sum is σ = 2952508320. Its totient is φ = 363622400.

The previous prime is 1101199469. The next prime is 1101199507. The reversal of 1101199488 is 8849911011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101199469) and next prime (1101199507).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×11011994883 (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27688 + ... + 54488.

Almost surely, 21101199488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476254160).

1101199488 is an abundant number, since it is smaller than the sum of its proper divisors (1851308832).

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

1101199488 is a wasteful number, since it uses less digits than its factorization.

1101199488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26925 (or 26913 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 42.

The square root of 1101199488 is about 33184.3259386114. The cubic root of 1101199488 is about 1032.6551935831.

The spelling of 1101199488 in words is "one billion, one hundred one million, one hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 26801 41088 53602 80403 107204 160806 214408 321612 428816 643224 857632 1286448 1715264 2572896 2867707 3430528 5145792 5735414 8603121 10291584 11470828 17206242 22941656 34412484 45883312 68824968 91766624 137649936 183533248 275299872 367066496 550599744 1101199488