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1101006140 = 2251310341113
BaseRepresentation
bin100000110100000…
…0000010100111100
32211201201220111012
41001220000110330
54223324144030
6301130214352
736166253303
oct10150002474
92751656435
101101006140
11515542233
122688843b8
13147143930
14a632143a
15669d4095
hex41a0053c

1101006140 has 48 divisors (see below), whose sum is σ = 2514203328. Its totient is φ = 402568704.

The previous prime is 1101006103. The next prime is 1101006143. The reversal of 1101006140 is 416001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101006143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6224 + ... + 47336.

It is an arithmetic number, because the mean of its divisors is an integer number (52379236).

Almost surely, 21101006140 is an apocalyptic number.

1101006140 is a gapful number since it is divisible by the number (10) 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 1101006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257101664).

1101006140 is an abundant number, since it is smaller than the sum of its proper divisors (1413197188).

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

1101006140 is a wasteful number, since it uses less digits than its factorization.

1101006140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41238 (or 41236 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1101006140 is about 33181.4125678820. The cubic root of 1101006140 is about 1032.5947523688.

Adding to 1101006140 its reverse (416001011), we get a palindrome (1517007151).

The spelling of 1101006140 in words is "one billion, one hundred one million, six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 1030 1339 2060 2678 5356 6695 13390 26780 41113 82226 164452 205565 411130 534469 822260 1068938 2137876 2672345 4234639 5344690 8469278 10689380 16938556 21173195 42346390 55050307 84692780 110100614 220201228 275251535 550503070 1101006140