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22221102111102 = 23219617169362201
BaseRepresentation
bin1010000110101110000001…
…11001011101100101111110
32220200022112210221100120200
411003113000321131211332
510403032304120023402
6115132122224424330
74452264424325526
oct503270071354576
986608483840520
1022221102111102
117097a09925464
1225aa7221780a6
13c5259698173b
1456b715602686
1528804dba521c
hex1435c0e5d97e

22221102111102 has 96 divisors (see below), whose sum is σ = 50792645423520. Its totient is φ = 7001566387200.

The previous prime is 22221102111073. The next prime is 22221102111127. The reversal of 22221102111102 is 20111120112222.

It is a super-2 number, since 2×222211021111022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357215602 + ... + 357277802.

It is an arithmetic number, because the mean of its divisors is an integer number (529090056495).

Almost surely, 222221102111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221102111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25396322711760).

22221102111102 is an abundant number, since it is smaller than the sum of its proper divisors (28571543312418).

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

22221102111102 is a wasteful number, since it uses less digits than its factorization.

22221102111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64538 (or 64535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22221102111102 its reverse (20111120112222), we get a palindrome (42332222223324).

The spelling of 22221102111102 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred two million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 617 1234 1693 1851 3386 3702 5079 5553 10158 11106 11723 15237 23446 30474 32167 35169 62201 64334 70338 96501 105507 124402 186603 193002 211014 289503 373206 559809 579006 1044581 1119618 1181819 2089162 2363638 3133743 3545457 6267486 7090914 9401229 10636371 18802458 19847039 21272742 38378017 39694078 59541117 76756034 105306293 115134051 119082234 178623351 210612586 230268102 315918879 345402153 357246702 631837758 690804306 729182323 947756637 1458364646 1895513274 2000819567 2187546969 4001639134 4375093938 6002458701 6562640907 12004917402 13125281814 18007376103 36014752206 64973982781 129947965562 194921948343 389843896686 584765845029 1169531690058 1234505672839 2469011345678 3703517018517 7407034037034 11110551055551 22221102111102