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10021222011111 = 3435361179241557
BaseRepresentation
bin1001000111010011111101…
…1000001101000011100111
31022111000112012012010011220
42101310333120031003213
52303141430313323421
633151404050231423
72053003136432643
oct221647730150347
938430465163156
1010021222011111
113213a81633083
12115a21ab85573
13578cc6a6324c
1426905b833c23
15125a1d0e63c6
hex91d3f60d0e7

10021222011111 has 128 divisors (see below), whose sum is σ = 14322544727040. Its totient is φ = 6225008025600.

The previous prime is 10021222011089. The next prime is 10021222011209. The reversal of 10021222011111 is 11111022212001.

It is a happy number.

It is not a de Polignac number, because 10021222011111 - 225 = 10021188456679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021222011511) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 17991421645 + ... + 17991422201.

It is an arithmetic number, because the mean of its divisors is an integer number (111894880680).

Almost surely, 210021222011111 is an apocalyptic number.

10021222011111 is a deficient number, since it is larger than the sum of its proper divisors (4301322715929).

10021222011111 is a wasteful number, since it uses less digits than its factorization.

10021222011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10021222011111 its reverse (11111022212001), we get a palindrome (21132244223112).

The spelling of 10021222011111 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, eleven thousand, one hundred eleven".

Divisors: 1 3 43 53 61 129 159 179 183 241 537 557 723 1671 2279 2623 3233 6837 7697 7869 9487 9699 10363 10919 12773 14701 23091 23951 28461 29521 31089 32757 33977 38319 43139 44103 71853 88563 99703 101931 129417 134237 139019 299109 402711 407941 417057 469517 549239 578707 632143 779153 1223823 1269403 1408551 1461011 1647717 1736121 1800781 1854977 1896429 2286367 2337459 2631479 3808209 4287229 4383033 5284259 5402343 5564931 5772191 6081883 6859101 7114561 7894437 8188457 12861687 15852777 17316573 18245649 21343683 24028423 24565371 24884401 33503579 72085269 74653203 77433583 98313781 100510737 113153597 139468387 227223137 232300749 261520969 294941343 305926123 322339799 339460791 352103651 418405161 433988221 681669411 784562907 917778369 967019397 1033222189 1056310953 1273506419 1301964663 1465733803 3099666567 3820519257 4397201409 5997140641 13860611357 17991421923 18661493503 41581834071 54760776017 55984480509 63026553529 77683891559 164282328051 189079660587 233051674677 3340407337037 10021222011111