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31121303020 = 22529671575101
BaseRepresentation
bin11100111110111110…
…010110010111101100
32222022220012222221121
4130332332112113230
51002214023144040
622144045310324
72151133465603
oct347676262754
988286188847
1031121303020
1112220189645
1260465653a4
132c1c794302
141713330a3a
15c222bbc4a
hex73ef965ec

31121303020 has 96 divisors (see below), whose sum is σ = 69068018880. Its totient is φ = 11762150400.

The previous prime is 31121302951. The next prime is 31121303021. The reversal of 31121303020 is 2030312113.

It is a super-2 number, since 2×311213030202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31121302985 and 31121303003.

It is not an unprimeable number, because it can be changed into a prime (31121303021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6098470 + ... + 6103570.

It is an arithmetic number, because the mean of its divisors is an integer number (719458530).

Almost surely, 231121303020 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 31121303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34534009440).

31121303020 is an abundant number, since it is smaller than the sum of its proper divisors (37946715860).

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

31121303020 is a wasteful number, since it uses less digits than its factorization.

31121303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31121303020 its reverse (2030312113), we get a palindrome (33151615133).

The spelling of 31121303020 in words is "thirty-one billion, one hundred twenty-one million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 157 268 290 314 335 580 628 670 785 1340 1570 1943 3140 3886 4553 5101 7772 9106 9715 10202 10519 18212 19430 20404 21038 22765 25505 38860 42076 45530 51010 52595 91060 102020 105190 147929 210380 295858 305051 341767 591716 610102 683534 739645 800857 1220204 1367068 1479290 1525255 1601714 1708835 2958580 3050510 3203428 3417670 4004285 6101020 6835340 8008570 9911243 16017140 19822486 23224853 39644972 46449706 49556215 53657419 92899412 99112430 107314838 116124265 198224860 214629676 232248530 268287095 464497060 536574190 1073148380 1556065151 3112130302 6224260604 7780325755 15560651510 31121303020