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102221011110 = 23537473887
BaseRepresentation
bin101111100110011011…
…0001101100010100110
3100202211221212101201110
41133030312031202212
53133322034323420
6114543143005450
710246063154361
oct1371466154246
9322757771643
10102221011110
113a396106679
1217989739886
1398409b97ba
144d3a00b0d8
1529d4206ee0
hex17ccd8d8a6

102221011110 has 128 divisors (see below), whose sum is σ = 257728573440. Its totient is φ = 25928641152.

The previous prime is 102221011099. The next prime is 102221011133. The reversal of 102221011110 is 11110122201.

It is a super-2 number, since 2×1022210111102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115243087 + ... + 115243973.

It is an arithmetic number, because the mean of its divisors is an integer number (2013504480).

Almost surely, 2102221011110 is an apocalyptic number.

102221011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128864286720).

102221011110 is an abundant number, since it is smaller than the sum of its proper divisors (155507562330).

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

102221011110 is an frugal number, since it uses more digits than its factorization.

102221011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 981 counting only the distinct ones).

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

Adding to 102221011110 its reverse (11110122201), we get a palindrome (113331133311).

The spelling of 102221011110 in words is "one hundred two billion, two hundred twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 222 235 282 370 470 555 705 887 1110 1410 1739 1774 2209 2661 3478 4418 4435 5217 5322 6627 8695 8870 10434 11045 13254 13305 17390 22090 26085 26610 32819 33135 41689 52170 65638 66270 81733 83378 98457 103823 125067 163466 164095 196914 207646 208445 245199 250134 311469 328190 408665 416890 490398 492285 519115 622938 625335 817330 984570 1038230 1225995 1250670 1542493 1557345 1959383 2451990 3084986 3114690 3841451 3918766 4627479 5878149 7682902 7712465 9254958 9796915 11524353 11756298 15424930 19207255 19593830 23048706 23137395 29390745 38414510 46274790 57621765 58781490 72497171 92091001 115243530 144994342 184182002 217491513 276273003 362485855 434983026 460455005 552546006 724971710 920910010 1087457565 1381365015 2174915130 2762730030 3407367037 6814734074 10222101111 17036835185 20444202222 34073670370 51110505555 102221011110