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202313131020 = 22325711133730347
BaseRepresentation
bin1011110001101011001…
…1010110010000001100
3201100012112211220201200
42330122303112100030
511303314130143040
6232535200305500
720421336145140
oct2743263262014
9640175756650
10202313131020
1178889540830
1233262312290
1316102611060
149b133ab220
1553e158b630
hex2f1acd640c

202313131020 has 576 divisors, whose sum is σ = 846263448576. Its totient is φ = 37755279360.

The previous prime is 202313131003. The next prime is 202313131037. The reversal of 202313131020 is 20131313202.

202313131020 is a `hidden beast` number, since 20 + 2 + 313 + 1 + 310 + 20 = 666.

202313131020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202313131003) and next prime (202313131037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202313130984 and 202313131002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6651487 + ... + 6681833.

It is an arithmetic number, because the mean of its divisors is an integer number (1469207376).

Almost surely, 2202313131020 is an apocalyptic number.

202313131020 is a gapful number since it is divisible by the number (20) 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 202313131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423131724288).

202313131020 is an abundant number, since it is smaller than the sum of its proper divisors (643950317556).

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

202313131020 is a wasteful number, since it uses less digits than its factorization.

202313131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30430 (or 30425 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 202313131020 its reverse (20131313202), we get a palindrome (222444444222).

It can be divided in two parts, 202313 and 131020, that added together give a palindrome (333333).

The spelling of 202313131020 in words is "two hundred two billion, three hundred thirteen million, one hundred thirty-one thousand, twenty".