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90910001010 = 23543104967181
BaseRepresentation
bin101010010101010101…
…0001000011101110010
322200122200012112211110
41110222222020131302
52442140430013020
6105432524454150
76365556154503
oct1245252103562
9280580175743
1090910001010
1135611364344
12157516aa356
13875a50ab0a
144585adcbaa
1525711d18e0
hex152aa88772

90910001010 has 64 divisors (see below), whose sum is σ = 223474204800. Its totient is φ = 23655959040.

The previous prime is 90910001003. The next prime is 90910001069. The reversal of 90910001010 is 1010001909.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1319620 + ... + 1386800.

It is an arithmetic number, because the mean of its divisors is an integer number (3491784450).

Almost surely, 290910001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90910001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111737102400).

90910001010 is an abundant number, since it is smaller than the sum of its proper divisors (132564203790).

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

90910001010 is a wasteful number, since it uses less digits than its factorization.

90910001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68283.

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 90910001010 its reverse (1010001909), we get a palindrome (91920002919).

The spelling of 90910001010 in words is "ninety billion, nine hundred ten million, one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1049 1290 2098 3147 5245 6294 10490 15735 31470 45107 67181 90214 134362 135321 201543 225535 270642 335905 403086 451070 671810 676605 1007715 1353210 2015430 2888783 5777566 8666349 14443915 17332698 28887830 43331745 70472869 86663490 140945738 211418607 352364345 422837214 704728690 1057093035 2114186070 3030333367 6060666734 9091000101 15151666835 18182000202 30303333670 45455000505 90910001010