Search a number
-
+
10202012012111 = 2329314173353467
BaseRepresentation
bin1001010001110101011101…
…0011010100111001001111
31100010022011202110202001212
42110131113103110321033
52314122210033341421
633410423431325035
72102033240202653
oct224352723247117
940108152422055
1010202012012111
1132837158a6747
12118927522077b
135900792693ba
14273acc514a63
1512a59ed4de5b
hex947574d4e4f

10202012012111 has 128 divisors (see below), whose sum is σ = 11863493591040. Its totient is φ = 8730176716800.

The previous prime is 10202012012107. The next prime is 10202012012113. The reversal of 10202012012111 is 11121021020201.

It is a cyclic number.

It is not a de Polignac number, because 10202012012111 - 22 = 10202012012107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202012012113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21845849900 + ... + 21845850366.

It is an arithmetic number, because the mean of its divisors is an integer number (92683543680).

Almost surely, 210202012012111 is an apocalyptic number.

10202012012111 is a deficient number, since it is larger than the sum of its proper divisors (1661481578929).

10202012012111 is a wasteful number, since it uses less digits than its factorization.

10202012012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10202012012111 its reverse (11121021020201), we get a palindrome (21323033032312).

The spelling of 10202012012111 in words is "ten trillion, two hundred two billion, twelve million, twelve thousand, one hundred eleven".

Divisors: 1 23 29 31 41 73 353 467 667 713 899 943 1189 1271 1679 2117 2263 2993 8119 10237 10741 10943 13543 14473 14477 19147 20677 25769 27347 29233 34091 36859 48691 52049 65627 68839 86797 92783 164851 235451 251689 311489 317347 332879 332971 419717 419833 440381 448663 555263 592687 593557 747301 784093 798839 847757 988639 1056529 1056821 1397731 1509421 1996331 2134009 2690707 3791573 4780679 5110381 6758891 7298981 9653491 9656159 10319249 12034123 12771049 13011227 13651811 17187923 17213153 18373297 22738697 23166331 24300167 24306883 30639341 30647809 32147813 32752399 40534199 43329661 61886261 109955617 117538763 148201049 155454493 196007839 209525621 276784829 299258221 348989567 373057813 395902519 493399043 532825613 704704843 704899607 753305177 932286577 949819571 996582203 1256560169 3408624127 4508180297 4819089283 6076243009 8026760041 8580329699 10818676577 11348177989 14308572247 15295370333 21845850133 28900883887 139753589207 248829561271 329097161681 351793517659 443565739657 10202012012111