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1011020012211 = 3112315312971307
BaseRepresentation
bin11101011011001010111…
…11010001101010110011
310120122121201112001022110
432231211133101222303
5113031032110342321
62052242311340403
7133021006211346
oct16554537215263
93518551461273
101011020012211
1135a853492200
12143b38681703
13744533ac021
1436d0dc4645d
151b473e5a176
hexeb657d1ab3

1011020012211 has 96 divisors (see below), whose sum is σ = 1560766040064. Its totient is φ = 580892083200.

The previous prime is 1011020012209. The next prime is 1011020012213. The reversal of 1011020012211 is 1122100201101.

It is an interprime number because it is at equal distance from previous prime (1011020012209) and next prime (1011020012213).

It is not a de Polignac number, because 1011020012211 - 21 = 1011020012209 is a prime.

It is a super-2 number, since 2×10110200122112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011020012213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773541820 + ... + 773543126.

It is an arithmetic number, because the mean of its divisors is an integer number (16257979584).

Almost surely, 21011020012211 is an apocalyptic number.

1011020012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011020012211 is a deficient number, since it is larger than the sum of its proper divisors (549746027853).

1011020012211 is a wasteful number, since it uses less digits than its factorization.

1011020012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011020012211 its reverse (1122100201101), we get a palindrome (2133120213312).

The spelling of 1011020012211 in words is "one trillion, eleven billion, twenty million, twelve thousand, two hundred eleven".

Divisors: 1 3 11 31 33 53 93 121 159 341 363 583 1023 1297 1307 1643 1749 3751 3891 3921 4929 6413 11253 14267 14377 18073 19239 40207 40517 42801 43131 54219 68741 69271 120621 121551 156937 158147 198803 206223 207813 442277 445687 470811 474441 596409 756151 761981 1326831 1337061 1695179 2130971 2147401 2268453 2285943 4865047 4902557 5085537 6392913 6442203 8317661 8381791 14595141 14707671 18646969 23440681 23621411 24952983 25145373 52550549 55940907 70322043 70864233 89844487 157651647 205116659 257847491 259835521 269533461 578056039 615349977 773542473 779506563 988289357 1734168117 2785179097 2964868071 6358616429 8355537291 10871182927 19075849287 30636970067 32613548781 91910910201 337006670737 1011020012211