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3131223103000 = 235313212370343
BaseRepresentation
bin101101100100001011011…
…100001101011000011000
3102002100020022200120222001
4231210023130031120120
5402300221103244000
610354244122010344
7442136425141306
oct55441334153030
912070208616861
103131223103000
11aa7a428a1233
12426a283469b4
13199371c27805
14ab7a29c7276
15566b4b5846a
hex2d90b70d618

3131223103000 has 64 divisors (see below), whose sum is σ = 7332611757120. Its totient is φ = 1251540576000.

The previous prime is 3131223102979. The next prime is 3131223103007. The reversal of 3131223103000 is 3013221313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131223103007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135829 + ... + 2506171.

It is an arithmetic number, because the mean of its divisors is an integer number (114572058705).

Almost surely, 23131223103000 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 3131223103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666305878560).

3131223103000 is an abundant number, since it is smaller than the sum of its proper divisors (4201388654120).

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

3131223103000 is a wasteful number, since it uses less digits than its factorization.

3131223103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371685 (or 2371671 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3131223103000 its reverse (3013221313), we get a palindrome (3134236324313).

The spelling of 3131223103000 in words is "three trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1321 2642 5284 6605 10568 13210 26420 33025 52840 66050 132100 165125 264200 330250 660500 1321000 2370343 4740686 9481372 11851715 18962744 23703430 47406860 59258575 94813720 118517150 237034300 296292875 474068600 592585750 1185171500 2370343000 3131223103 6262446206 12524892412 15656115515 25049784824 31312231030 62624462060 78280577575 125248924120 156561155150 313122310300 391402887875 626244620600 782805775750 1565611551500 3131223103000