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1012133100 = 2235211306707
BaseRepresentation
bin111100010100111…
…110110011101100
32121112111200121010
4330110332303230
54033101224400
6244233305220
734036663236
oct7424766354
92545450533
101012133100
1147a360640
12242b65210
131318c7934
14985c9256
155dccb450
hex3c53ecec

1012133100 has 72 divisors (see below), whose sum is σ = 3194670528. Its totient is φ = 245364800.

The previous prime is 1012133053. The next prime is 1012133107. The reversal of 1012133100 is 13312101.

It is a super-2 number, since 2×10121331002 = 2048826824231220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1012133107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150054 + ... + 156653.

It is an arithmetic number, because the mean of its divisors is an integer number (44370424).

Almost surely, 21012133100 is an apocalyptic number.

1012133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012133100 is an abundant number, since it is smaller than the sum of its proper divisors (2182537428).

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

1012133100 is a wasteful number, since it uses less digits than its factorization.

1012133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306735 (or 306728 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1012133100 is about 31814.0393537193. The cubic root of 1012133100 is about 1004.0281191365.

Adding to 1012133100 its reverse (13312101), we get a palindrome (1025445201).

The spelling of 1012133100 in words is "one billion, twelve million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 306707 613414 920121 1226828 1533535 1840242 3067070 3373777 3680484 4600605 6134140 6747554 7667675 9201210 10121331 13495108 15335350 16868885 18402420 20242662 23003025 30670700 33737770 40485324 46006050 50606655 67475540 84344425 92012100 101213310 168688850 202426620 253033275 337377700 506066550 1012133100