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1032121320340 = 2251131374199761
BaseRepresentation
bin11110000010011110011…
…10011000001110010100
310122200002022100120022011
433001033032120032110
5113402241024222330
62110052221514004
7134365633320205
oct17011716301624
93580068316264
101032121320340
113687a163a330
12148047412904
1376436ca4b76
1437d524cb5ac
151bcab71982a
hexf04f398394

1032121320340 has 192 divisors, whose sum is σ = 2567902611456. Its totient is φ = 344770560000.

The previous prime is 1032121320337. The next prime is 1032121320341. The reversal of 1032121320340 is 430231212301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032121320341) 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 63 ways as a sum of consecutive naturals, for example, 10296060 + ... + 10395820.

It is an arithmetic number, because the mean of its divisors is an integer number (13374492768).

Almost surely, 21032121320340 is an apocalyptic number.

1032121320340 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 1032121320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283951305728).

1032121320340 is an abundant number, since it is smaller than the sum of its proper divisors (1535781291116).

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

1032121320340 is a wasteful number, since it uses less digits than its factorization.

1032121320340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99890 (or 99888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1032121320340 its reverse (430231212301), we get a palindrome (1462352532641).

The spelling of 1032121320340 in words is "one trillion, thirty-two billion, one hundred twenty-one million, three hundred twenty thousand, three hundred forty".