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10010002021110 = 2325713294017113
BaseRepresentation
bin1001000110101010001010…
…0111010101101011110110
31022102221120020210120101200
42101222202213111223312
52303000441004133420
633142310443033330
72052125116204560
oct221524247255366
938387506716350
1010010002021110
11320a2441a9573
12115800950b846
13577c293a2900
142686b565a330
151255b309eb90
hex91aa29d5af6

10010002021110 has 144 divisors (see below), whose sum is σ = 32208006845664. Its totient is φ = 2112000403968.

The previous prime is 10010002021109. The next prime is 10010002021171. The reversal of 10010002021110 is 1112020001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010002021092 and 10010002021101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46902087 + ... + 47115026.

It is an arithmetic number, because the mean of its divisors is an integer number (223666714206).

Almost surely, 210010002021110 is an apocalyptic number.

10010002021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010002021110 is an abundant number, since it is smaller than the sum of its proper divisors (22198004824554).

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

10010002021110 is a wasteful number, since it uses less digits than its factorization.

10010002021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94017159 (or 94017143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010002021110 its reverse (1112020001001), we get a palindrome (11122022022111).

The spelling of 10010002021110 in words is "ten trillion, ten billion, two million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1183 1365 1521 1638 1690 2366 2535 2730 3042 3549 4095 5070 5915 7098 7605 8190 10647 11830 15210 17745 21294 35490 53235 106470 94017113 188034226 282051339 470085565 564102678 658119791 846154017 940171130 1222222469 1316239582 1410256695 1692308034 1974359373 2444444938 2820513390 3290598955 3666667407 3948718746 4230770085 5923078119 6111112345 6581197910 7333334814 8461540170 8555557283 9871796865 11000002221 11846156238 12222224690 15888892097 17111114566 18333337035 19743593730 22000004442 25666671849 29615390595 31777784194 36666674070 42777786415 47666676291 51333343698 55000011105 59230781190 77000015547 79444460485 85555572830 95333352582 110000022210 111222244679 128333359245 143000028873 154000031094 158888920970 222444489358 238333381455 256666718490 286000057746 333666734037 385000077735 476666762910 556111223395 667333468074 715000144365 770000155470 1001000202111 1112222446790 1430000288730 1668333670185 2002000404222 3336667340370 5005001010555 10010002021110