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32135201112040 = 235131011633753779
BaseRepresentation
bin1110100111010000011110…
…01111110011111111101000
311012210002120102021201111021
413103220033033303333220
513203000342441041130
6152202412501142224
76524456145364465
oct723501717637750
9135702512251437
1032135201112040
11a26a50a2a0474
1237300259ba974
1314c144b290220
147d14cdd9866c
153aad9c54a37a
hex1d3a0f3f3fe8

32135201112040 has 128 divisors (see below), whose sum is σ = 79119472118400. Its totient is φ = 11675751091200.

The previous prime is 32135201112019. The next prime is 32135201112043. The reversal of 32135201112040 is 4021110253123.

It is a super-2 number, since 2×321352011120402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32135201111996 and 32135201112014.

It is not an unprimeable number, because it can be changed into a prime (32135201112043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6683871 + ... + 10437649.

It is an arithmetic number, because the mean of its divisors is an integer number (618120875925).

Almost surely, 232135201112040 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 32135201112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39559736059200).

32135201112040 is an abundant number, since it is smaller than the sum of its proper divisors (46984271006360).

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

32135201112040 is a wasteful number, since it uses less digits than its factorization.

32135201112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754067 (or 3754063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 32135201112040 its reverse (4021110253123), we get a palindrome (36156311365163).

The spelling of 32135201112040 in words is "thirty-two trillion, one hundred thirty-five billion, two hundred one million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 163 202 260 326 404 505 520 652 808 815 1010 1304 1313 1630 2020 2119 2626 3260 4040 4238 5252 6520 6565 8476 10504 10595 13130 16463 16952 21190 26260 32926 42380 52520 65852 82315 84760 131704 164630 214019 329260 428038 658520 856076 1070095 1712152 2140190 3753779 4280380 7507558 8560760 15015116 18768895 30030232 37537790 48799127 75075580 97598254 150151160 195196508 243995635 379131679 390393016 487991270 611865977 758263358 975982540 1223731954 1516526716 1895658395 1951965080 2447463908 3033053432 3059329885 3791316790 4894927816 4928711827 6118659770 7582633580 7954257701 9857423654 12237319540 15165267160 15908515402 19714847308 24474639080 24643559135 31817030804 39429694616 39771288505 49287118270 61798463677 63634061608 79542577010 98574236540 123596927354 159085154020 197148473080 247193854708 308992318385 318170308040 494387709416 617984636770 803380027801 1235969273540 1606760055602 2471938547080 3213520111204 4016900139005 6427040222408 8033800278010 16067600556020 32135201112040