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102211120011010 = 252941151346916411
BaseRepresentation
bin10111001111010111100001…
…100000000001011100000010
3111101220021202200201011010211
4113033113201200001130002
5101344111333210323020
61001215050150144334
730346336560135433
oct2717274140013402
9441807680634124
10102211120011010
112a627546675aaa
12b5692493520aa
13450560c752a4a
141b3508a57348a
15bc3b2c0b985a
hex5cf5e1801702

102211120011010 has 128 divisors (see below), whose sum is σ = 196325910950400. Its totient is φ = 38243439360000.

The previous prime is 102211120010999. The next prime is 102211120011019. The reversal of 102211120011010 is 10110021112201.

It is a happy number.

It is a super-3 number, since 3×1022111200110103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102211120011019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6228199705 + ... + 6228216115.

It is an arithmetic number, because the mean of its divisors is an integer number (1533796179300).

Almost surely, 2102211120011010 is an apocalyptic number.

102211120011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211120011010 is a deficient number, since it is larger than the sum of its proper divisors (94114790939390).

102211120011010 is a wasteful number, since it uses less digits than its factorization.

102211120011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20108.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102211120011010 its reverse (10110021112201), we get a palindrome (112321141123211).

The spelling of 102211120011010 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, eleven thousand, ten".

Divisors: 1 2 5 10 29 41 58 82 145 151 205 290 302 410 755 1189 1510 2378 3469 4379 5945 6191 6938 8758 11890 12382 16411 17345 21895 30955 32822 34690 43790 61910 82055 100601 142229 164110 179539 201202 284458 359078 475919 503005 523819 672851 711145 897695 951838 1006010 1047638 1345702 1422290 1795390 2379595 2478061 2619095 3364255 4124641 4759190 4956122 5238190 6728510 8249282 12390305 15190751 19512679 20623205 21476579 24780610 30381502 39025358 41246410 42953158 56929759 71863769 75953755 97563395 101600501 107382895 113859518 143727538 151907510 195126790 203201002 214765790 284648795 359318845 508002505 569297590 622820791 718637690 1016005010 1245641582 1650963011 2334120119 2946414529 3114103955 3301926022 4668240238 5892829058 6228207910 8254815055 8596393609 11670600595 14732072645 16509630110 17192787218 23341201190 29464145290 42981968045 67689483451 85963936090 135378966902 249295414661 338447417255 352452137969 498590829322 676894834510 704904275938 1246477073305 1762260689845 2492954146610 3524521379690 10221112001101 20442224002202 51105560005505 102211120011010