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10010020020012 = 223219349119335149
BaseRepresentation
bin1001000110101010001110…
…1011111111111100101100
31022102221121111200000020200
42101222203223333330230
52303001010111120022
633142312324513500
72052125425200525
oct221524353777454
938387544600220
1010010020020012
11320a2533823a1
12115801354b890
13577c3003524c
142686b7bc384c
151255b4957bac
hex91aa3afff2c

10010020020012 has 144 divisors (see below), whose sum is σ = 26734316700000. Its totient is φ = 3149269797888.

The previous prime is 10010020020001. The next prime is 10010020020019. The reversal of 10010020020012 is 21002002001001.

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 = 10010020019976 and 10010020020003.

It is not an unprimeable number, because it can be changed into a prime (10010020020019) 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, 284770614 + ... + 284805762.

Almost surely, 210010020020012 is an apocalyptic number.

10010020020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010020020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367158350000).

10010020020012 is an abundant number, since it is smaller than the sum of its proper divisors (16724296679988).

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

10010020020012 is a wasteful number, since it uses less digits than its factorization.

10010020020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36720 (or 36715 counting only the distinct ones).

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

Adding to 10010020020012 its reverse (21002002001001), we get a palindrome (31012022021013).

The spelling of 10010020020012 in words is "ten trillion, ten billion, twenty million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 349 684 698 1047 1193 1396 2094 2386 3141 3579 4188 4772 6282 6631 7158 10737 12564 13262 14316 19893 21474 22667 26524 35149 39786 42948 45334 59679 68001 70298 79572 90668 105447 119358 136002 140596 204003 210894 238716 272004 316341 408006 416357 421788 632682 667831 816012 832714 1249071 1265364 1335662 1665428 2003493 2498142 2671324 3747213 4006986 4996284 6010479 7494426 7910783 8013972 12020958 12267001 14988852 15821566 23732349 24041916 24534002 31643132 36801003 41932757 47464698 49068004 71197047 73602006 83865514 94929396 110403009 125798271 142394094 147204012 167731028 220806018 233073019 251596542 284788188 377394813 441612036 466146038 503193084 699219057 754789626 796722383 932292076 1398438114 1509579252 1593444766 2097657171 2390167149 2796876228 3186889532 4195314342 4780334298 7170501447 8390628684 9560668596 14341002894 14634532193 28682005788 29269064386 43903596579 58538128772 87807193158 131710789737 175614386316 263421579474 278056111667 526843158948 556112223334 834168335001 1112224446668 1668336670002 2502505005003 3336673340004 5005010010006 10010020020012