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10231212202000 = 245347127857029
BaseRepresentation
bin1001010011100010001111…
…0001001101100000010000
31100020002112202210002020021
42110320203301031200100
52320112010310431000
633432053132553224
72104115655545626
oct224704361154020
940202482702207
1010231212202000
11329503a619589
121192a64322814
13592a50a16b7a
1427529c643516
1512b20d63c11a
hex94e23c4d810

10231212202000 has 160 divisors (see below), whose sum is σ = 25464404459520. Its totient is φ = 3973867430400.

The previous prime is 10231212201997. The next prime is 10231212202067. The reversal of 10231212202000 is 20221213201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11509486 + ... + 12366514.

It is an arithmetic number, because the mean of its divisors is an integer number (159152527872).

Almost surely, 210231212202000 is an apocalyptic number.

10231212202000 is a gapful number since it is divisible by the number (10) 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 10231212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732202229760).

10231212202000 is an abundant number, since it is smaller than the sum of its proper divisors (15233192257520).

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

10231212202000 is a wasteful number, since it uses less digits than its factorization.

10231212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857226 (or 857210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10231212202000 its reverse (20221213201), we get a palindrome (10251433415201).

The spelling of 10231212202000 in words is "ten trillion, two hundred thirty-one billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 127 188 200 235 250 254 376 400 470 500 508 635 752 940 1000 1016 1175 1270 1880 2000 2032 2350 2540 3175 3760 4700 5080 5875 5969 6350 9400 10160 11750 11938 12700 15875 18800 23500 23876 25400 29845 31750 47000 47752 50800 59690 63500 94000 95504 119380 127000 149225 238760 254000 298450 477520 596900 746125 857029 1193800 1492250 1714058 2387600 2984500 3428116 4285145 5969000 6856232 8570290 11938000 13712464 17140580 21425725 34281160 40280363 42851450 68562320 80560726 85702900 107128625 108842683 161121452 171405800 201401815 214257250 217685366 322242904 342811600 402803630 428514500 435370732 544213415 644485808 805607260 857029000 870741464 1007009075 1088426830 1611214520 1714058000 1741482928 2014018150 2176853660 2721067075 3222429040 4028036300 4353707320 5035045375 5115606101 5442134150 8056072600 8707414640 10070090750 10231212202 10884268300 13605335375 16112145200 20140181500 20462424404 21768536600 25578030505 27210670750 40280363000 40924848808 43537073200 51156061010 54421341500 80560726000 81849697616 102312122020 108842683000 127890152525 204624244040 217685366000 255780305050 409248488080 511560610100 639450762625 1023121220200 1278901525250 2046242440400 2557803050500 5115606101000 10231212202000