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32111313122020 = 225112934611454239
BaseRepresentation
bin1110100110100011111110…
…11010010111001011100100
311012200210220121211002121011
413103101333122113023210
513202102432124401040
6152143422242432004
76522652162666636
oct723217732271344
9135623817732534
1032111313122020
11a260371131a60
123727479962604
1314bc1122510a2
147d02a5598a56
153aa4502d23ea
hex1d347f6972e4

32111313122020 has 96 divisors (see below), whose sum is σ = 76122832665600. Its totient is φ = 11270926195200.

The previous prime is 32111313122017. The next prime is 32111313122033. The reversal of 32111313122020 is 2022131311123.

It is a super-3 number, since 3×321113131220203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 32111313121982 and 32111313122000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21354061 + ... + 22808299.

It is an arithmetic number, because the mean of its divisors is an integer number (792946173600).

Almost surely, 232111313122020 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 32111313122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38061416332800).

32111313122020 is an abundant number, since it is smaller than the sum of its proper divisors (44011519543580).

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

32111313122020 is a wasteful number, since it uses less digits than its factorization.

32111313122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457749 (or 1457747 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 32111313122020 its reverse (2022131311123), we get a palindrome (34133444433143).

The spelling of 32111313122020 in words is "thirty-two trillion, one hundred eleven billion, three hundred thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 3461 6380 6922 13844 17305 34610 38071 69220 76142 100369 152284 190355 200738 380710 401476 501845 761420 1003690 1104059 1454239 2007380 2208118 2908478 4416236 5520295 5816956 7271195 11040590 14542390 15996629 22081180 29084780 31993258 42172931 63986516 79983145 84345862 159966290 168691724 210864655 319932580 421729310 463902241 843458620 927804482 1855608964 2319511205 4639022410 5033121179 9278044820 10066242358 20132484716 25165605895 50331211790 55364332969 100662423580 110728665938 145960514191 221457331876 276821664845 291921028382 553643329690 583842056764 729802570955 1107286659380 1459605141910 1605565656101 2919210283820 3211131312202 6422262624404 8027828280505 16055656561010 32111313122020