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1102109136 = 24319531512
BaseRepresentation
bin100000110110000…
…1101100111010000
32211210210221111220
41001230031213100
54224114443021
6301210005040
736211526112
oct10154154720
92753727456
101102109136
115161259a7
12269116780
1314743b9ab
14a652b3b2
1566b50cc6
hex41b0d9d0

1102109136 has 120 divisors (see below), whose sum is σ = 3073865760. Its totient is φ = 339206400.

The previous prime is 1102109131. The next prime is 1102109153. The reversal of 1102109136 is 6319012011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102109131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7298661 + ... + 7298811.

It is an arithmetic number, because the mean of its divisors is an integer number (25615548).

Almost surely, 21102109136 is an apocalyptic number.

1102109136 is a gapful number since it is divisible by the number (16) 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 1102109136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536932880).

1102109136 is an abundant number, since it is smaller than the sum of its proper divisors (1971756624).

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

1102109136 is a wasteful number, since it uses less digits than its factorization.

1102109136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1102109136 is about 33198.0290981257. The cubic root of 1102109136 is about 1032.9394576089.

The spelling of 1102109136 in words is "one billion, one hundred two million, one hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 151 152 159 212 228 302 304 318 424 453 456 604 636 848 906 912 1007 1208 1272 1812 2014 2416 2544 2869 3021 3624 4028 5738 6042 7248 8003 8056 8607 11476 12084 16006 16112 17214 22801 22952 24009 24168 32012 34428 45602 45904 48018 48336 64024 68403 68856 91204 96036 128048 136806 137712 152057 182408 192072 273612 304114 364816 384144 433219 456171 547224 608228 866438 912342 1094448 1208453 1216456 1299657 1732876 1824684 2416906 2432912 2599314 3465752 3625359 3649368 4833812 5198628 6931504 7250718 7298736 9667624 10397256 14501436 19335248 20794512 22960607 29002872 45921214 58005744 68881821 91842428 137763642 183684856 275527284 367369712 551054568 1102109136