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1010100091 = 7111397101103
BaseRepresentation
bin111100001101001…
…110011101111011
32121101200101211111
4330031032131323
54032041200331
6244121541151
734013465140
oct7415163573
92541611744
101010100091
114791a2170
122423447b7
13131365480
149821a3c7
155da28db1
hex3c34e77b

1010100091 has 64 divisors (see below), whose sum is σ = 1397200896. Its totient is φ = 705024000.

The previous prime is 1010100061. The next prime is 1010100103. The reversal of 1010100091 is 1900010101.

It is a cyclic number.

It is not a de Polignac number, because 1010100091 - 217 = 1009969019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1010100011) 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 63 ways as a sum of consecutive naturals, for example, 9806746 + ... + 9806848.

It is an arithmetic number, because the mean of its divisors is an integer number (21831264).

Almost surely, 21010100091 is an apocalyptic number.

1010100091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010100091 is a deficient number, since it is larger than the sum of its proper divisors (387100805).

1010100091 is a wasteful number, since it uses less digits than its factorization.

1010100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 1010100091 is about 31782.0718487640. The cubic root of 1010100091 is about 1003.3554255268.

Adding to 1010100091 its reverse (1900010101), we get a palindrome (2910110192).

It can be divided in two parts, 1010 and 100091, that added together give a palindrome (101101).

The spelling of 1010100091 in words is "one billion, ten million, one hundred thousand, ninety-one".

Divisors: 1 7 11 13 77 91 97 101 103 143 679 707 721 1001 1067 1111 1133 1261 1313 1339 7469 7777 7931 8827 9191 9373 9797 9991 10403 13871 14443 14729 68579 69937 72821 97097 101101 103103 107767 109901 114433 127361 129883 135239 754369 769307 801031 891527 909181 946673 1009091 1400971 1428713 1487629 7063637 9806797 10000991 10413403 11100001 13118183 77700007 91827281 144300013 1010100091