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31231333020 = 22351518594013
BaseRepresentation
bin11101000101100010…
…000101001010011100
32222121120021002201210
4131011202011022130
51002430210124040
622203015504420
72153640644016
oct350542051234
988546232653
1031231333020
1112277300828
126077388110
132c3950a214
141723bb31b6
15c2bca3480
hex74588529c

31231333020 has 96 divisors (see below), whose sum is σ = 88151293440. Its totient is φ = 8261510400.

The previous prime is 31231332983. The next prime is 31231333027. The reversal of 31231333020 is 2033313213.

It is a super-2 number, since 2×312313330202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31231333027) 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, 7780534 + ... + 7784546.

It is an arithmetic number, because the mean of its divisors is an integer number (918242640).

Almost surely, 231231333020 is an apocalyptic number.

31231333020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31231333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44075646720).

31231333020 is an abundant number, since it is smaller than the sum of its proper divisors (56919960420).

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

31231333020 is a wasteful number, since it uses less digits than its factorization.

31231333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 31231333020 its reverse (2033313213), we get a palindrome (33264646233).

The spelling of 31231333020 in words is "thirty-one billion, two hundred thirty-one million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 859 906 1510 1718 1812 2265 2577 3020 3436 4013 4295 4530 5154 8026 8590 9060 10308 12039 12885 16052 17180 20065 24078 25770 40130 48156 51540 60195 80260 120390 129709 240780 259418 389127 518836 605963 648545 778254 1211926 1297090 1556508 1817889 1945635 2423852 2594180 3029815 3447167 3635778 3891270 6059630 6894334 7271556 7782540 9089445 10341501 12119260 13788668 17235835 18178890 20683002 34471670 36357780 41366004 51707505 68943340 103415010 206830020 520522217 1041044434 1561566651 2082088868 2602611085 3123133302 5205222170 6246266604 7807833255 10410444340 15615666510 31231333020