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1107431222040 = 23325111343349681
BaseRepresentation
bin10000000111011000000…
…010110110101100011000
310220212110210012221221200
4100013120002312230120
5121121004343101130
62204425154234200
7143003115033633
oct20073002665430
93825423187850
101107431222040
11397728066110
1215a764585960
1380579534a90
143b8583d4c1a
151dc18099760
hex101d80b6b18

1107431222040 has 384 divisors, whose sum is σ = 4238224361280. Its totient is φ = 247239475200.

The previous prime is 1107431222021. The next prime is 1107431222047. The reversal of 1107431222040 is 402221347011.

1107431222040 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 431 + 2 + 220 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1107431221995 and 1107431222013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107431222047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22266000 + ... + 22315680.

Almost surely, 21107431222040 is an apocalyptic number.

1107431222040 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 1107431222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119112180640).

1107431222040 is an abundant number, since it is smaller than the sum of its proper divisors (3130793139240).

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

1107431222040 is a wasteful number, since it uses less digits than its factorization.

1107431222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50155 (or 50148 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 1107431222040 its reverse (402221347011), we get a palindrome (1509652569051).

The spelling of 1107431222040 in words is "one trillion, one hundred seven billion, four hundred thirty-one million, two hundred twenty-two thousand, forty".