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10112011120002 = 23114773137325951
BaseRepresentation
bin1001001100100110001011…
…0101001010110110000010
31022210200212102220201012110
42103021202311022312002
52311133344321320002
633301221020040150
72062366030222341
oct223114265126602
938720772821173
1010112011120002
113249530726380
121173938093056
135847351c405c
1426d5d1463b58
15128083897e6c
hex93262d4ad82

10112011120002 has 128 divisors (see below), whose sum is σ = 23007434047488. Its totient is φ = 2936366208000.

The previous prime is 10112011119989. The next prime is 10112011120033. The reversal of 10112011120002 is 20002111021101.

It is a self number, because there is not a number n which added to its sum of digits gives 10112011120002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30860127 + ... + 31186077.

It is an arithmetic number, because the mean of its divisors is an integer number (179745578496).

Almost surely, 210112011120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112011120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503717023744).

10112011120002 is an abundant number, since it is smaller than the sum of its proper divisors (12895422927486).

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

10112011120002 is a wasteful number, since it uses less digits than its factorization.

10112011120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326224.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112011120002 its reverse (20002111021101), we get a palindrome (30114122141103).

The spelling of 10112011120002 in words is "ten trillion, one hundred twelve billion, eleven million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 33 47 66 73 94 137 141 146 219 274 282 411 438 517 803 822 1034 1507 1551 1606 2409 3014 3102 3431 4521 4818 6439 6862 9042 10001 10293 12878 19317 20002 20586 30003 37741 38634 60006 70829 75482 110011 113223 141658 212487 220022 226446 325951 330033 424974 470047 651902 660066 940094 977853 1410141 1955706 2820282 3585461 5170517 7170922 10341034 10756383 15319697 15511551 21512766 23794423 30639394 31023102 44655287 45959091 47588846 71383269 89310574 91918182 133965861 142766538 168516667 261738653 267931722 337033334 491208157 505550001 523477306 785215959 982416314 1011100002 1118337881 1473624471 1570431918 2098798489 2236675762 2947248942 3259835951 3355013643 4197596978 6296395467 6519671902 6710027286 9779507853 12301716691 12592790934 19559015706 23086783379 24603433382 35858195461 36905150073 46173566758 69260350137 71716390922 73810300146 107574586383 138520700274 153212289697 215149172766 306424579394 459636869091 919273738182 1685335186667 3370670373334 5056005560001 10112011120002