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1132010010200 = 235231337947713
BaseRepresentation
bin10000011110010001000…
…011011111011001011000
311000012220201112202202002
4100132101003133121120
5122021324030311300
62224012131100132
7144533156216306
oct20362103373130
94005821482662
101132010010200
113a70a0159483
12163483a41648
1382995710b04
143cb0a855276
151e6a5cb85d5
hex107910df658

1132010010200 has 96 divisors (see below), whose sum is σ = 2647354033200. Its totient is φ = 450156994560.

The previous prime is 1132010010083. The next prime is 1132010010221. The reversal of 1132010010200 is 20100102311.

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 23 ways as a sum of consecutive naturals, for example, 23701544 + ... + 23749256.

Almost surely, 21132010010200 is an apocalyptic number.

1132010010200 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 1132010010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323677016600).

1132010010200 is an abundant number, since it is smaller than the sum of its proper divisors (1515344023000).

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

1132010010200 is a wasteful number, since it uses less digits than its factorization.

1132010010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48421 (or 48412 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1132010010200 its reverse (20100102311), we get a palindrome (1152110112511).

The spelling of 1132010010200 in words is "one trillion, one hundred thirty-two billion, ten million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 379 626 758 1252 1516 1565 1895 2504 3032 3130 3790 6260 7580 7825 9475 12520 15160 15650 18950 31300 37900 47713 62600 75800 95426 118627 190852 237254 238565 381704 474508 477130 593135 949016 954260 1186270 1192825 1908520 2372540 2385650 2965675 4745080 4771300 5931350 9542600 11862700 14934169 18083227 23725400 29868338 36166454 59736676 72332908 74670845 90416135 119473352 144665816 149341690 180832270 298683380 361664540 373354225 452080675 597366760 723329080 746708450 904161350 1493416900 1808322700 2986833800 3616645400 5660050051 11320100102 22640200204 28300250255 45280400408 56600500510 113201001020 141501251275 226402002040 283002502550 566005005100 1132010010200