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1020202202012 = 2271731523113217
BaseRepresentation
bin11101101100010001100…
…10100011001110011100
310121112022122102121202012
432312020302203032130
5113203333230431022
62100401401450352
7133464363431120
oct16661062431634
93545278377665
101020202202012
11363735601314
1214587b7a09b8
137528781bb26
1437541525580
151b810123de2
hexed88ca339c

1020202202012 has 96 divisors (see below), whose sum is σ = 2230714515456. Its totient is φ = 398129356800.

The previous prime is 1020202202011. The next prime is 1020202202027. The reversal of 1020202202012 is 2102022020201.

1020202202012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020202202011) 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, 77182028 + ... + 77195244.

It is an arithmetic number, because the mean of its divisors is an integer number (23236609536).

Almost surely, 21020202202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020202202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115357257728).

1020202202012 is an abundant number, since it is smaller than the sum of its proper divisors (1210512313444).

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

1020202202012 is a wasteful number, since it uses less digits than its factorization.

1020202202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18507 (or 18505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1020202202012 its reverse (2102022020201), we get a palindrome (3122224222213).

It can be divided in two parts, 102020 and 2202012, that added together give a palindrome (2304032).

The spelling of 1020202202012 in words is "one trillion, twenty billion, two hundred two million, two hundred two thousand, twelve".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 527 868 1054 2108 3689 5231 7378 10462 13217 14756 20924 26434 36617 52868 73234 88927 92519 146468 162161 177854 185038 224689 324322 355708 370076 409727 449378 622489 648644 819454 898756 1135127 1244978 1572823 1638908 2270254 2489956 2756737 2868089 3145646 4540508 5513474 5736178 6291292 6965359 11026948 11472356 13930718 19297159 27861436 38594318 48757513 69138127 77188636 97515026 138276254 195030052 276552508 483966889 967933778 1175348159 1935867556 2143281937 2350696318 4286563874 4701392636 8227437113 8573127748 15002973559 16454874226 30005947118 32909748452 36435792929 60011894236 72871585858 145743171716 255050550503 510101101006 1020202202012