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10010010111010 = 2571361715925189
BaseRepresentation
bin1001000110101010001100…
…0110001100110000100010
31022102221120211000120122121
42101222203012030300202
52303001000042023020
633142311332254454
72052125245030360
oct221524306146042
938387524016577
1010010010111010
11320a248824638
12115801017142a
13577c2ac75c30
142686b6764630
151255b3b4bbaa
hex91aa318cc22

10010010111010 has 128 divisors (see below), whose sum is σ = 22543607116800. Its totient is φ = 3115509765120.

The previous prime is 10010010110983. The next prime is 10010010111019. The reversal of 10010010111010 is 1011101001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10010010110984 and 10010010111002.

It is not an unprimeable number, because it can be changed into a prime (10010010111019) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 397383496 + ... + 397408684.

It is an arithmetic number, because the mean of its divisors is an integer number (176121930600).

Almost surely, 210010010111010 is an apocalyptic number.

10010010111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010010111010 is an abundant number, since it is smaller than the sum of its proper divisors (12533597005790).

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

10010010111010 is a wasteful number, since it uses less digits than its factorization.

10010010111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32436.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010010111010 its reverse (1011101001001), we get a palindrome (11021111112011).

The spelling of 10010010111010 in words is "ten trillion, ten billion, ten million, one hundred eleven thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 61 65 70 91 122 130 182 305 427 455 610 793 854 910 1586 2135 3965 4270 5551 7159 7930 11102 14318 25189 27755 35795 50113 50378 55510 71590 93067 100226 125945 176323 186134 250565 251890 327457 352646 436699 465335 501130 651469 654914 873398 881615 930670 1302938 1536529 1637285 1763230 2183495 2292199 3056893 3073058 3257345 3274570 4366990 4584398 5677087 6113786 6514690 7682645 10755703 11354174 11460995 15284465 15365290 19974877 21511406 22921990 28385435 30568930 39739609 39949754 53778515 56770870 79479218 99874385 107557030 139824139 180328051 198698045 199748770 279648278 360656102 397396090 699120695 901640255 1262296357 1398241390 1803280510 2344264663 2524592714 4688529326 6311481785 11000011111 11721323315 12622963570 16409852641 22000022222 23442646630 32819705282 55000055555 77000077777 82049263205 110000111110 143000144443 154000155554 164098526410 286000288886 385000388885 715000722215 770000777770 1001001011101 1430001444430 2002002022202 5005005055505 10010010111010