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31122242443420 = 225193721067105071
BaseRepresentation
bin1110001001110001101100…
…01101001001100010011100
311002012020221120211201112121
413010320312031021202130
513034401323031142140
6150105205533312324
76361336115642452
oct704706615114234
9132166846751477
1031122242443420
119a0996155aa97
1235a78480356a4
131449a7936453b
147984788a49d2
1538e8632e864a
hex1c4e3634989c

31122242443420 has 96 divisors (see below), whose sum is σ = 70659928120320. Its totient is φ = 11474289550080.

The previous prime is 31122242443417. The next prime is 31122242443429. The reversal of 31122242443420 is 2434424222113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122242443429) 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, 296149485 + ... + 296254555.

It is an arithmetic number, because the mean of its divisors is an integer number (736040917920).

Almost surely, 231122242443420 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 31122242443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35329964060160).

31122242443420 is an abundant number, since it is smaller than the sum of its proper divisors (39537685676900).

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

31122242443420 is a wasteful number, since it uses less digits than its factorization.

31122242443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126203 (or 126201 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 31122242443420 its reverse (2434424222113), we get a palindrome (33556666665533).

The spelling of 31122242443420 in words is "thirty-one trillion, one hundred twenty-two billion, two hundred forty-two million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 14060 21067 42134 84268 105071 105335 210142 210670 400273 420284 421340 525355 779479 800546 1050710 1558958 1601092 1996349 2001365 2101420 3117916 3887627 3897395 3992698 4002730 7775254 7794790 7985396 8005460 9981745 14810101 15550508 15589580 19438135 19963490 29620202 38876270 39926980 59240404 73864913 74050505 77752540 147729826 148101010 295459652 296202020 369324565 738649130 1477298260 2213530757 4427061514 8854123028 11067653785 22135307570 42057084383 44270615140 81900638009 84114168766 163801276018 168228337532 210285421915 327602552036 409503190045 420570843830 819006380090 841141687660 1556112122171 1638012760180 3112224244342 6224448488684 7780560610855 15561121221710 31122242443420