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1311311001020 = 225616310638577
BaseRepresentation
bin10011000101010000001…
…110011111010110111100
311122100201111222211122212
4103011100032133112330
5132441031104013040
62442224041355552
7163511336412626
oct23052016372674
94570644884585
101311311001020
1146613a968719
12192183498bb8
139686b5a1c57
1447679893c16
152419be47d65
hex1315039f5bc

1311311001020 has 24 divisors (see below), whose sum is σ = 2754200181264. Its totient is φ = 524439242496.

The previous prime is 1311311001019. The next prime is 1311311001037. The reversal of 1311311001020 is 201001131131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311311000986 and 1311311001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5196029 + ... + 5442548.

It is an arithmetic number, because the mean of its divisors is an integer number (114758340886).

Almost surely, 21311311001020 is an apocalyptic number.

1311311001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311311001020 is an abundant number, since it is smaller than the sum of its proper divisors (1442889180244).

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

1311311001020 is a wasteful number, since it uses less digits than its factorization.

1311311001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644749 (or 10644747 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1311311001020 its reverse (201001131131), we get a palindrome (1512312132151).

The spelling of 1311311001020 in words is "one trillion, three hundred eleven billion, three hundred eleven million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 6163 12326 24652 30815 61630 123260 10638577 21277154 42554308 53192885 106385770 212771540 65565550051 131131100102 262262200204 327827750255 655655500510 1311311001020