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10531210630072 = 23111983709107033
BaseRepresentation
bin1001100100111111110100…
…0100011001001110111000
31101021202220011202020200211
42121033331010121032320
52340020404410130242
634221545452240504
72134566134243356
oct231177504311670
941252804666624
1010531210630072
1133a0296941870
121221029170134
135b5120415132
142859db4967d6
15133e1aada317
hex993fd1193b8

10531210630072 has 128 divisors (see below), whose sum is σ = 22980627936000. Its totient is φ = 4473971850240.

The previous prime is 10531210630067. The next prime is 10531210630111. The reversal of 10531210630072 is 27003601213501.

It is a happy number.

It is a super-2 number, since 2×105312106300722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98338668 + ... + 98445700.

It is an arithmetic number, because the mean of its divisors is an integer number (179536155750).

Almost surely, 210531210630072 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 10531210630072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490313968000).

10531210630072 is an abundant number, since it is smaller than the sum of its proper divisors (12449417305928).

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

10531210630072 is a wasteful number, since it uses less digits than its factorization.

10531210630072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107861 (or 107857 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 10531210630072 its reverse (27003601213501), we get a palindrome (37534811843573).

The spelling of 10531210630072 in words is "ten trillion, five hundred thirty-one billion, two hundred ten million, six hundred thirty thousand, seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 83 88 152 166 209 332 418 664 709 836 913 1418 1577 1672 1826 2836 3154 3652 5672 6308 7304 7799 12616 13471 15598 17347 26942 31196 34694 53884 58847 62392 69388 107033 107768 117694 138776 148181 214066 235388 296362 428132 470776 592724 647317 856264 1118093 1177363 1185448 1294634 2033627 2236186 2354726 2589268 4067254 4472372 4709452 5178536 8134508 8883739 8944744 9418904 12299023 16269016 17767478 22369897 24598046 35534956 44739794 49196092 71069912 75886397 89479588 97721129 98392184 151772794 168791041 178959176 195442258 303545588 337582082 390884516 607091176 675164164 781769032 834750367 1350328328 1441841543 1669500734 1856701451 2883683086 3339001468 3713402902 5767366172 6298570951 6678002936 7426805804 11534732344 12597141902 14853611608 15860256973 25194283804 31720513946 50388567608 63441027892 69284280461 119672848069 126882055784 138568560922 239345696138 277137121844 478691392276 554274243688 957382784552 1316401328759 2632802657518 5265605315036 10531210630072