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1032131000000 = 26561032131
BaseRepresentation
bin11110000010011111100…
…11010011011011000000
310122200002222120100022002
433001033303103123000
5113402301014000000
62110053205203132
7134366111513612
oct17011763233300
93580088510262
101032131000000
113687a7050851
1214804a7004a8
1376438cb3989
1437d538cadb2
151bcac4cc8d5
hexf04fcd36c0

1032131000000 has 98 divisors (see below), whose sum is σ = 2560138401684. Its totient is φ = 412852000000.

The previous prime is 1032130999979. The next prime is 1032131000057. The reversal of 1032131000000 is 1312301.

1032131000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10321310000002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 483935 + ... + 1516065.

Almost surely, 21032131000000 is an apocalyptic number.

1032131000000 is a gapful number since it is divisible by the number (10) 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 1032131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280069200842).

1032131000000 is an abundant number, since it is smaller than the sum of its proper divisors (1528007401684).

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

1032131000000 is an frugal number, since it uses more digits than its factorization.

1032131000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032173 (or 1032138 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1032131000000 its reverse (1312301), we get a palindrome (1032132312301).

The spelling of 1032131000000 in words is "one trillion, thirty-two billion, one hundred thirty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1032131 2064262 4128524 5160655 8257048 10321310 16514096 20642620 25803275 33028192 41285240 51606550 66056384 82570480 103213100 129016375 165140960 206426200 258032750 330281920 412852400 516065500 645081875 825704800 1032131000 1290163750 1651409600 2064262000 2580327500 3225409375 4128524000 5160655000 6450818750 8257048000 10321310000 12901637500 16127046875 20642620000 25803275000 32254093750 41285240000 51606550000 64508187500 103213100000 129016375000 206426200000 258032750000 516065500000 1032131000000