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1100142312 = 2333710131223
BaseRepresentation
bin100000110010010…
…1101011011101000
32211200010000112120
41001210231123220
54223114023222
6301055511240
736156024663
oct10144553350
92750100476
101100142312
11515002225
12268528520
13146c006a9
14a61786da
15668b315c
hex4192d6e8

1100142312 has 64 divisors (see below), whose sum is σ = 2829790080. Its totient is φ = 356159232.

The previous prime is 1100142271. The next prime is 1100142317. The reversal of 1100142312 is 2132410011.

It is a junction number, because it is equal to n+sod(n) for n = 1100142291 and 1100142300.

It is not an unprimeable number, because it can be changed into a prime (1100142317) 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, 898933 + ... + 900155.

It is an arithmetic number, because the mean of its divisors is an integer number (44215470).

Almost surely, 21100142312 is an apocalyptic number.

1100142312 is a gapful number since it is divisible by the number (12) 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 1100142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414895040).

1100142312 is an abundant number, since it is smaller than the sum of its proper divisors (1729647768).

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

1100142312 is a wasteful number, since it uses less digits than its factorization.

1100142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1100142312 is about 33168.3932682908. The cubic root of 1100142312 is about 1032.3246304603.

Adding to 1100142312 its reverse (2132410011), we get a palindrome (3232552323).

The spelling of 1100142312 in words is "one billion, one hundred million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1013 1223 2026 2446 3039 3669 4052 4892 6078 7338 8104 9784 12156 14676 24312 29352 37481 45251 74962 90502 112443 135753 149924 181004 224886 271506 299848 362008 449772 543012 899544 1086024 1238899 2477798 3716697 4955596 7433394 9911192 14866788 29733576 45839263 91678526 137517789 183357052 275035578 366714104 550071156 1100142312