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1101981348 = 223413614289
BaseRepresentation
bin100000110101110…
…1110011010100100
32211210120110020000
41001223232122210
54224101400343
6301203141300
736210454416
oct10153563244
92753513200
101101981348
11516048996
12269074830
131473c5790
14a64d69b6
1566b27ed3
hex41aee6a4

1101981348 has 120 divisors (see below), whose sum is σ = 3153990840. Its totient is φ = 333434880.

The previous prime is 1101981347. The next prime is 1101981371. The reversal of 1101981348 is 8431891011.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 1072038564 = 5472^2 + 32742^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1101981347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254788 + ... + 259076.

It is an arithmetic number, because the mean of its divisors is an integer number (26283257).

Almost surely, 21101981348 is an apocalyptic number.

1101981348 is a gapful number since it is divisible by the number (18) 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 1101981348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576995420).

1101981348 is an abundant number, since it is smaller than the sum of its proper divisors (2052009492).

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

1101981348 is a wasteful number, since it uses less digits than its factorization.

1101981348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1101981348 is about 33196.1044100057. The cubic root of 1101981348 is about 1032.8995334413.

The spelling of 1101981348 in words is "one billion, one hundred one million, nine hundred eighty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 244 324 351 366 468 549 702 732 793 1053 1098 1404 1586 1647 2106 2196 2379 3172 3294 4212 4289 4758 4941 6588 7137 8578 9516 9882 12867 14274 17156 19764 21411 25734 28548 38601 42822 51468 55757 64233 77202 85644 111514 115803 128466 154404 167271 223028 231606 256932 261629 334542 347409 463212 501813 523258 669084 694818 784887 1003626 1046516 1389636 1505439 1569774 2007252 2354661 3010878 3139548 3401177 4516317 4709322 6021756 6802354 7063983 9032634 9418644 10203531 13604708 14127966 18065268 20407062 21191949 28255932 30610593 40814124 42383898 61221186 84767796 91831779 122442372 183663558 275495337 367327116 550990674 1101981348