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101202101212 = 222941471732617
BaseRepresentation
bin101111001000000011…
…1011000001111011100
3100200012221121102002211
41132100013120033130
53124230214214322
6114254104130204
710211611444522
oct1362007301734
9320187542084
10101202101212
1139a12a47583
1217744466964
13970a88b434
144c8097a312
152974a3cb77
hex17901d83dc

101202101212 has 96 divisors (see below), whose sum is σ = 192854027520. Its totient is φ = 46363054080.

The previous prime is 101202101081. The next prime is 101202101213. The reversal of 101202101212 is 212101202101.

101202101212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101202101192 and 101202101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202101213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38669728 + ... + 38672344.

It is an arithmetic number, because the mean of its divisors is an integer number (2008896120).

Almost surely, 2101202101212 is an apocalyptic number.

It is an amenable number.

101202101212 is a deficient number, since it is larger than the sum of its proper divisors (91651926308).

101202101212 is a wasteful number, since it uses less digits than its factorization.

101202101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101202101212 its reverse (212101202101), we get a palindrome (313303303313).

It can be divided in two parts, 101202101 and 212, that multiplied together give a palindrome (21454845412).

The spelling of 101202101212 in words is "one hundred one billion, two hundred two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 29 41 47 58 82 94 116 164 173 188 346 692 1189 1363 1927 2378 2617 2726 3854 4756 5017 5234 5452 7093 7708 8131 10034 10468 14186 16262 20068 28372 32524 55883 75893 107297 111766 122999 151786 205697 214594 223532 235799 245998 303572 333371 411394 429188 452741 471598 491996 666742 822788 905482 943196 1333484 1810964 3111613 3566971 5042959 6223226 7133942 9667759 10085918 12446452 13129489 14267884 18562381 19335518 20171836 21278827 26258978 37124762 38671036 42557654 52517956 74249524 85115308 146245811 292491622 538309049 584983244 617085983 872431907 1076618098 1234171966 1744863814 2153236196 2468343932 3489727628 25300525303 50601050606 101202101212