Search a number
-
+
1131021331020 = 2232572402131891
BaseRepresentation
bin10000011101010110000…
…111111110101001001100
311000010100211011122212200
4100131112013332221030
5122012312430043040
62223330052201500
7144466522455600
oct20352607765114
94003324148780
101131021331020
113a6733068149
12163248909290
1382868938749
143ca55413500
151e6490c1630
hex107561fea4c

1131021331020 has 216 divisors, whose sum is σ = 3992007238128. Its totient is φ = 258446764800.

The previous prime is 1131021331019. The next prime is 1131021331031. The reversal of 1131021331020 is 201331201311.

1131021331020 is a `hidden beast` number, since 1 + 1 + 310 + 2 + 1 + 331 + 0 + 20 = 666.

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 = 1131021330984 and 1131021331002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35449275 + ... + 35481165.

Almost surely, 21131021331020 is an apocalyptic number.

1131021331020 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 1131021331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996003619064).

1131021331020 is an abundant number, since it is smaller than the sum of its proper divisors (2860985907108).

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

1131021331020 is a wasteful number, since it uses less digits than its factorization.

1131021331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35941 (or 35929 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131021331020 its reverse (201331201311), we get a palindrome (1332352532331).

The spelling of 1131021331020 in words is "one trillion, one hundred thirty-one billion, twenty-one million, three hundred thirty-one thousand, twenty".