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20001010002012 = 223213198887253103
BaseRepresentation
bin1001000110000110110010…
…00110001010100001011100
32121211002002202221220221200
410203003121012022201130
510110144032030031022
6110312200453555500
74133011446631104
oct443033106124134
977732082856850
1020001010002012
1164114207a2546
1222b03b5945b90
13b21119613670
144d20a8450204
1524a413890bac
hex1230d918a85c

20001010002012 has 144 divisors (see below), whose sum is σ = 57319511208960. Its totient is φ = 5829574852224.

The previous prime is 20001010002011. The next prime is 20001010002019. The reversal of 20001010002012 is 21020001010002.

It is a super-2 number, since 2×200010100020122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001010001985 and 20001010002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001010002011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78896653 + ... + 79149755.

Almost surely, 220001010002012 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 20001010002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28659755604480).

20001010002012 is an abundant number, since it is smaller than the sum of its proper divisors (37318501206948).

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

20001010002012 is a wasteful number, since it uses less digits than its factorization.

20001010002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262032 (or 262027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001010002012 its reverse (21020001010002), we get a palindrome (41021011012014).

The spelling of 20001010002012 in words is "twenty trillion, one billion, ten million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8887 8892 17774 26661 35548 53322 79983 106644 115531 159966 168853 231062 253103 319932 337706 346593 462124 506206 506559 675412 693186 759309 1012412 1013118 1039779 1386372 1518618 1519677 2026236 2079558 2195089 2277927 3037236 3039354 3290339 4159116 4390178 4555854 4808957 6078708 6580678 6585267 8780356 9111708 9617914 9871017 13161356 13170534 14426871 19235828 19742034 19755801 26341068 28853742 29613051 39484068 39511602 43280613 57707484 59226102 62516441 79023204 86561226 118452204 125032882 173122452 187549323 250065764 375098646 562647969 750197292 1125295938 2249326361 2250591876 4498652722 6747979083 8997305444 13495958166 20243937249 26991916332 29241242693 40487874498 42737200859 58482485386 80975748996 85474401718 87723728079 116964970772 128211602577 170948803436 175447456158 256423205154 263171184237 350894912316 384634807731 512846410308 526342368474 555583611167 769269615462 1052684736948 1111167222334 1538539230924 1666750833501 2222334444668 3333501667002 5000252500503 6667003334004 10000505001006 20001010002012