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32013131120 = 2451723737423
BaseRepresentation
bin11101110100001000…
…011001110101110000
310001122001100120002222
4131310020121311300
51011030330143440
622412344300212
72212213060535
oct356410316560
9101561316088
1032013131120
111263863a263
126255171668
133032489249
141799960d8c
15c757322b5
hex774219d70

32013131120 has 120 divisors (see below), whose sum is σ = 81205439424. Its totient is φ = 11725959168.

The previous prime is 32013131113. The next prime is 32013131123. The reversal of 32013131120 is 2113131023.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013131123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 836729 + ... + 874151.

Almost surely, 232013131120 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 32013131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40602719712).

32013131120 is an abundant number, since it is smaller than the sum of its proper divisors (49192308304).

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

32013131120 is a wasteful number, since it uses less digits than its factorization.

32013131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37507 (or 37484 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 32013131120 its reverse (2113131023), we get a palindrome (34126262143).

The spelling of 32013131120 in words is "thirty-two billion, thirteen million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 272 289 296 340 370 578 592 629 680 740 1156 1258 1360 1445 1480 2312 2516 2890 2960 3145 4624 5032 5780 6290 10064 10693 11560 12580 21386 23120 25160 37423 42772 50320 53465 74846 85544 106930 149692 171088 187115 213860 299384 374230 427720 598768 636191 748460 855440 1272382 1384651 1496920 2544764 2769302 2993840 3180955 5089528 5538604 6361910 6923255 10179056 10815247 11077208 12723820 13846510 21630494 22154416 23539067 25447640 27693020 43260988 47078134 50895280 54076235 55386040 86521976 94156268 108152470 110772080 117695335 173043952 188312536 216304940 235390670 376625072 400164139 432609880 470781340 800328278 865219760 941562680 1600656556 1883125360 2000820695 3201313112 4001641390 6402626224 8003282780 16006565560 32013131120