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32201320210040 = 23531731372596621
BaseRepresentation
bin1110101001001011101000…
…10000001001111001111000
311020000102020101000220122202
413110211310100021321320
513210041300433210130
6152253025435005332
76532316506424162
oct724456420117170
9136012211026582
1032201320210040
11a295559854413
1237409b8b99848
1314c7757685657
147d47a33bd932
153ac96c0ae145
hex1d4974409e78

32201320210040 has 128 divisors (see below), whose sum is σ = 76368107128320. Its totient is φ = 12204529459200.

The previous prime is 32201320210027. The next prime is 32201320210061. The reversal of 32201320210040 is 4001202310223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32201320209994 and 32201320210021.

It is a congruent number.

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, 11102930 + ... + 13699550.

It is an arithmetic number, because the mean of its divisors is an integer number (596625836940).

Almost surely, 232201320210040 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 32201320210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38184053564160).

32201320210040 is an abundant number, since it is smaller than the sum of its proper divisors (44166786918280).

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

32201320210040 is a wasteful number, since it uses less digits than its factorization.

32201320210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596873 (or 2596869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32201320210040 its reverse (4001202310223), we get a palindrome (36202522520263).

The spelling of 32201320210040 in words is "thirty-two trillion, two hundred one billion, three hundred twenty million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 137 146 155 248 274 292 310 365 548 584 620 685 730 1096 1240 1370 1460 2263 2740 2920 4247 4526 5480 8494 9052 10001 11315 16988 18104 20002 21235 22630 33976 40004 42470 45260 50005 80008 84940 90520 100010 169880 200020 310031 400040 620062 1240124 1550155 2480248 2596621 3100310 5193242 6200620 10386484 12401240 12983105 20772968 25966210 51932420 80495251 103864840 160990502 189553333 321981004 355737077 379106666 402476255 643962008 711474154 758213332 804952510 947766665 1422948308 1516426664 1609905020 1778685385 1895533330 2845896616 3219810040 3557370770 3791066660 5876153323 7114741540 7582133320 11027849387 11752306646 14229483080 22055698774 23504613292 25968806621 29380766615 44111397548 47009226584 51937613242 55139246935 58761533230 88222795096 103875226484 110278493870 117523066460 129844033105 207750452968 220556987740 235046132920 259688066210 441113975480 519376132420 805033005251 1038752264840 1610066010502 3220132021004 4025165026255 6440264042008 8050330052510 16100660105020 32201320210040