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32131311003220 = 225112135917310823
BaseRepresentation
bin1110100111001001001110…
…11000001110011001010100
311012202201112022100201101211
413103210213120032121110
513202414411104100340
6152200530454431204
76524260561120402
oct723444730163124
9135681468321354
1032131311003220
11a2688a3444100
12372b31b062504
1314c0c7b3664a0
147d124148c472
153aac20c805ea
hex1d392760e654

32131311003220 has 144 divisors (see below), whose sum is σ = 81226540805760. Its totient is φ = 10602532258560.

The previous prime is 32131311003179. The next prime is 32131311003227. The reversal of 32131311003220 is 2230011313123.

It is a super-2 number, since 2×321313110032202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 32131311003191 and 32131311003200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131311003227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6799272 + ... + 10511551.

It is an arithmetic number, because the mean of its divisors is an integer number (564073200040).

Almost surely, 232131311003220 is an apocalyptic number.

It is an amenable number.

32131311003220 is an abundant number, since it is smaller than the sum of its proper divisors (49095229802540).

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

32131311003220 is a wasteful number, since it uses less digits than its factorization.

32131311003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17310926 (or 17310913 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 32131311003220 its reverse (2230011313123), we get a palindrome (34361322316343).

The spelling of 32131311003220 in words is "thirty-two trillion, one hundred thirty-one billion, three hundred eleven million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 59 65 110 118 121 130 143 220 236 242 260 286 295 484 572 590 605 649 715 767 1180 1210 1298 1430 1534 1573 2420 2596 2860 3068 3146 3245 3835 6292 6490 7139 7670 7865 8437 12980 14278 15340 15730 16874 28556 31460 33748 35695 42185 71390 84370 92807 142780 168740 185614 371228 464035 928070 1856140 17310823 34621646 69243292 86554115 173108230 190419053 225040699 346216460 380838106 450081398 761676212 900162796 952095265 1021338557 1125203495 1904190530 2042677114 2094609583 2250406990 2475447689 3808381060 4085354228 4189219166 4500813980 4950895378 5106692785 8378438332 9901790756 10213385570 10473047915 11234724127 12377238445 13277401241 20426771140 20946095830 22469448254 24754476890 26554802482 27229924579 41892191660 44938896508 49508953780 53109604964 54459849158 56173620635 66387006205 108919698316 112347241270 123581965397 132774012410 136149622895 146051413651 224694482540 247163930794 265548024820 272299245790 292102827302 494327861588 544598491580 584205654604 617909826985 730257068255 1235819653970 1460514136510 1606565550161 2471639307940 2921028273020 3213131100322 6426262200644 8032827750805 16065655501610 32131311003220