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1016381531 = 112931791301
BaseRepresentation
bin111100100101001…
…100000001011011
32121211111112100102
4330211030001123
54040143202111
6244504330015
734121046314
oct7445140133
92554445312
101016381531
114817a2540
1224447390b
131327545b9
1498db360b
155e36a13b
hex3c94c05b

1016381531 has 32 divisors (see below), whose sum is σ = 1199923200. Its totient is φ = 851760000.

The previous prime is 1016381519. The next prime is 1016381537. The reversal of 1016381531 is 1351836101.

It is a cyclic number.

It is not a de Polignac number, because 1016381531 - 26 = 1016381467 is a prime.

It is a super-2 number, since 2×10163815312 = 2066062833115807922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 1016381494 and 1016381503.

It is not an unprimeable number, because it can be changed into a prime (1016381537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780581 + ... + 781881.

It is an arithmetic number, because the mean of its divisors is an integer number (37497600).

Almost surely, 21016381531 is an apocalyptic number.

1016381531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1016381531 is the 14258-th centered decagonal number.

1016381531 is a deficient number, since it is larger than the sum of its proper divisors (183541669).

1016381531 is a wasteful number, since it uses less digits than its factorization.

1016381531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 1016381531 is about 31880.7391852824. The cubic root of 1016381531 is about 1005.4309615935.

The spelling of 1016381531 in words is "one billion, sixteen million, three hundred eighty-one thousand, five hundred thirty-one".

Divisors: 1 11 29 31 79 319 341 869 899 1301 2291 2449 9889 14311 25201 26939 37729 40331 71021 102779 415019 443641 781231 1130569 1169599 2980591 3186149 12865589 32786501 35047639 92398321 1016381531