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1001918131 = 1638816977
BaseRepresentation
bin111011101110000…
…000111010110011
32120211021201021221
4323232000322303
54022442340011
6243230325511
733554110054
oct7356007263
92524251257
101001918131
11474613a15
1223b659897
1312c75c286
14970ca72b
155ce5e971
hex3bb80eb3

1001918131 has 8 divisors (see below), whose sum is σ = 1009353744. Its totient is φ = 994498560.

The previous prime is 1001918119. The next prime is 1001918173. The reversal of 1001918131 is 1318191001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001918131 is a prime.

It is a super-2 number, since 2×10019181312 = 2007679882453066322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001918096 and 1001918105.

It is not an unprimeable number, because it can be changed into a prime (1001918101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140115 + ... + 147091.

It is an arithmetic number, because the mean of its divisors is an integer number (126169218).

Almost surely, 21001918131 is an apocalyptic number.

1001918131 is a deficient number, since it is larger than the sum of its proper divisors (7435613).

1001918131 is an equidigital number, since it uses as much as digits as its factorization.

1001918131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021.

The product of its (nonzero) digits is 216, while the sum is 25.

The square root of 1001918131 is about 31653.0903862482. The cubic root of 1001918131 is about 1000.6389686321.

The spelling of 1001918131 in words is "one billion, one million, nine hundred eighteen thousand, one hundred thirty-one".

Divisors: 1 163 881 6977 143603 1137251 6146737 1001918131