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1021114010 = 257174718257
BaseRepresentation
bin111100110111001…
…111011010011010
32122011101222002102
4330313033122122
54042401122020
6245154003402
734206216530
oct7467173232
92564358072
101021114010
11484435084
12245b76562
13133720697
1499886150
155e9a2475
hex3cdcf69a

1021114010 has 64 divisors (see below), whose sum is σ = 2271587328. Its totient is φ = 322473984.

The previous prime is 1021114001. The next prime is 1021114013. The reversal of 1021114010 is 104111201.

It is a junction number, because it is equal to n+sod(n) for n = 1021113982 and 1021114000.

It is not an unprimeable number, because it can be changed into a prime (1021114013) 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 31 ways as a sum of consecutive naturals, for example, 46802 + ... + 65058.

It is an arithmetic number, because the mean of its divisors is an integer number (35493552).

Almost surely, 21021114010 is an apocalyptic number.

1021114010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021114010 is an abundant number, since it is smaller than the sum of its proper divisors (1250473318).

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

1021114010 is a wasteful number, since it uses less digits than its factorization.

1021114010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18335.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1021114010 is about 31954.8745890201. The cubic root of 1021114010 is about 1006.9890428166.

Adding to 1021114010 its reverse (104111201), we get a palindrome (1125225211).

The spelling of 1021114010 in words is "one billion, twenty-one million, one hundred fourteen thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 47 70 85 94 119 170 235 238 329 470 595 658 799 1190 1598 1645 3290 3995 5593 7990 11186 18257 27965 36514 55930 91285 127799 182570 255598 310369 620738 638995 858079 1277990 1551845 1716158 2172583 3103690 4290395 4345166 6006553 8580790 10862915 12013106 14587343 21725830 29174686 30032765 60065530 72936715 102111401 145873430 204222802 510557005 1021114010