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101000020220110 = 25112538771795811
BaseRepresentation
bin10110111101101111100110…
…010100111101100011001110
3111020121111201001210020112201
4112331233212110331203032
5101214241020134020420
6554450434014352114
730163003440565114
oct2675574624754316
9436544631706481
10101000020220110
112a1aa960392800
12b3b25924bb63a
13444835167113b
141ad25d9bddab4
15ba2397bcc10a
hex5bdbe653d8ce

101000020220110 has 96 divisors (see below), whose sum is σ = 203832434274336. Its totient is φ = 35993204332800.

The previous prime is 101000020220101. The next prime is 101000020220131. The reversal of 101000020220110 is 11022020000101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55344105 + ... + 57139915.

It is an arithmetic number, because the mean of its divisors is an integer number (2123254523691).

Almost surely, 2101000020220110 is an apocalyptic number.

101000020220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000020220110 is an abundant number, since it is smaller than the sum of its proper divisors (102832414054226).

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

101000020220110 is a wasteful number, since it uses less digits than its factorization.

101000020220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796770 (or 1796759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101000020220110 its reverse (11022020000101), we get a palindrome (112022040220211).

The spelling of 101000020220110 in words is "one hundred one trillion, twenty million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 53 55 106 110 121 242 265 530 583 605 877 1166 1210 1754 2915 4385 5830 6413 8770 9647 12826 19294 32065 46481 48235 64130 92962 96470 106117 212234 232405 464810 511291 530585 1022582 1061170 1795811 2556455 3591622 5112910 5624201 8979055 11248402 17958110 19753921 28121005 39507842 56242010 95177983 98769605 190355966 197539210 217293131 434586262 475889915 951779830 1046957813 1086465655 1574926247 2093915626 2172931310 3149852494 5234789065 7874631235 10469578130 11516535943 15749262470 17324188717 23033071886 34648377434 57582679715 83471091091 86620943585 115165359430 166942182182 173241887170 190566075887 381132151774 417355455455 834710910910 918182002001 952830379435 1836364004002 1905660758870 4590910010005 9181820020010 10100002022011 20200004044022 50500010110055 101000020220110