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1130212110132 = 2232723591784707
BaseRepresentation
bin10000011100100101111…
…001000010111100110100
311000001021102110222111200
4100130211321002330310
5122004133300011012
62223113503532500
7144440465266200
oct20344571027464
94001242428450
101130212110132
113a63582a9556
121630618ba130
138276a0a7811
143c9b9b67b00
151e5ed0273dc
hex10725e42f34

1130212110132 has 108 divisors (see below), whose sum is σ = 3332620942560. Its totient is φ = 322018072992.

The previous prime is 1130212110113. The next prime is 1130212110163. The reversal of 1130212110132 is 2310112120311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259078 + ... + 1525629.

It is an arithmetic number, because the mean of its divisors is an integer number (30857601320).

Almost surely, 21130212110132 is an apocalyptic number.

1130212110132 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 1130212110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666310471280).

1130212110132 is an abundant number, since it is smaller than the sum of its proper divisors (2202408832428).

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

1130212110132 is a wasteful number, since it uses less digits than its factorization.

1130212110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785090 (or 1785078 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1130212110132 its reverse (2310112120311), we get a palindrome (3440324230443).

The spelling of 1130212110132 in words is "one trillion, one hundred thirty billion, two hundred twelve million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 359 441 588 718 882 1077 1436 1764 2154 2513 3231 4308 5026 6462 7539 10052 12924 15078 17591 22617 30156 35182 45234 52773 70364 90468 105546 158319 211092 316638 633276 1784707 3569414 5354121 7138828 10708242 12492949 16062363 21416484 24985898 32124726 37478847 49971796 64249452 74957694 87450643 112436541 149915388 174901286 224873082 262351929 349802572 449746164 524703858 640709813 787055787 1049407716 1281419626 1574111574 1922129439 2562839252 3148223148 3844258878 4484968691 5766388317 7688517756 8969937382 11532776634 13454906073 17939874764 23065553268 26909812146 31394780837 40364718219 53819624292 62789561674 80729436438 94184342511 125579123348 161458872876 188368685022 282553027533 376737370044 565106055066 1130212110132