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10210425255252 = 223219711032041231
BaseRepresentation
bin1001010010010100110011…
…0001010011010101010100
31100011002220002110202222200
42110211030301103111110
52314241422331132002
633414334332324500
72102451566452425
oct224451461232524
940132802422880
1010210425255252
113287242964852
12118aa22913730
13590aba2a9891
14274289a2d64c
1512a8e3776b1c
hex9494cc53554

10210425255252 has 144 divisors (see below), whose sum is σ = 27818236293120. Its totient is φ = 3148066555200.

The previous prime is 10210425255241. The next prime is 10210425255257. The reversal of 10210425255252 is 25255252401201.

10210425255252 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 4 + 2 + 52 + 552 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210425255257) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3981477 + ... + 6022707.

It is an arithmetic number, because the mean of its divisors is an integer number (193182196480).

Almost surely, 210210425255252 is an apocalyptic number.

10210425255252 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 10210425255252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13909118146560).

10210425255252 is an abundant number, since it is smaller than the sum of its proper divisors (17607811037868).

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

10210425255252 is a wasteful number, since it uses less digits than its factorization.

10210425255252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041434 (or 2041429 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 10210425255252 its reverse (25255252401201), we get a palindrome (35465677656453).

The spelling of 10210425255252 in words is "ten trillion, two hundred ten billion, four hundred twenty-five million, two hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 103 114 142 171 206 213 228 284 309 342 412 426 618 639 684 852 927 1236 1278 1349 1854 1957 2556 2698 3708 3914 4047 5396 5871 7313 7828 8094 11742 12141 14626 16188 17613 21939 23484 24282 29252 35226 43878 48564 65817 70452 87756 131634 138947 263268 277894 416841 555788 833682 1250523 1667364 2041231 2501046 4082462 5002092 6123693 8164924 12247386 18371079 24494772 36742158 38783389 73484316 77566778 116350167 144927401 155133556 210246793 232700334 289854802 349050501 420493586 434782203 465400668 579709604 630740379 698101002 840987172 869564406 1261480758 1304346609 1396202004 1739128812 1892221137 2522961516 2608693218 2753620619 3784442274 3994689067 5217386436 5507241238 7568884548 7989378134 8260861857 11014482476 11984067201 14927522303 15978756268 16521723714 23968134402 24782585571 29855044606 33043447428 35952201603 44782566909 47936268804 49565171142 59710089212 71904403206 89565133818 99130342284 134347700727 143808806412 179130267636 268695401454 283622923757 537390802908 567245847514 850868771271 1134491695028 1701737542542 2552606313813 3403475085084 5105212627626 10210425255252