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1132100312 = 2374173467
BaseRepresentation
bin100001101111010…
…0111101011011000
32220220020122200012
41003132213223120
54304304202222
6304200501052
740024460000
oct10336475330
92826218605
101132100312
1153104a7a2
1227717a788
1315070c955
14aa4d7000
15695c71e2
hex437a7ad8

1132100312 has 80 divisors (see below), whose sum is σ = 2622744360. Its totient is φ = 456513792.

The previous prime is 1132100293. The next prime is 1132100341. The reversal of 1132100312 is 2130012311.

It is a super-2 number, since 2×11321003122 = 2563302232860994688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 324803 + ... + 328269.

Almost surely, 21132100312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311372180).

1132100312 is an abundant number, since it is smaller than the sum of its proper divisors (1490644048).

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

1132100312 is an equidigital number, since it uses as much as digits as its factorization.

1132100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1132100312 is about 33646.6983818621. The cubic root of 1132100312 is about 1042.2253605839.

Adding to 1132100312 its reverse (2130012311), we get a palindrome (3262112623).

The spelling of 1132100312 in words is "one billion, one hundred thirty-two million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 343 392 476 686 833 952 1372 1666 2401 2744 3332 3467 4802 5831 6664 6934 9604 11662 13868 19208 23324 24269 27736 40817 46648 48538 58939 81634 97076 117878 163268 169883 194152 235756 326536 339766 412573 471512 679532 825146 1189181 1359064 1650292 2378362 2888011 3300584 4756724 5776022 8324267 9513448 11552044 16648534 20216077 23104088 33297068 40432154 66594136 80864308 141512539 161728616 283025078 566050156 1132100312