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10203620225540 = 22572231151393301
BaseRepresentation
bin1001010001111011011100…
…1010001011001000000100
31100010110022211121110011012
42110132313022023020010
52314134003234204130
633411251201101352
72102121135611600
oct224366712131004
940113284543135
1010203620225540
113284370678255
121189643927858
135902744b9791
14273c01d46500
1512a646121995
hex947b728b204

10203620225540 has 144 divisors (see below), whose sum is σ = 26032388788224. Its totient is φ = 3343364640000.

The previous prime is 10203620225521. The next prime is 10203620225551. The reversal of 10203620225540 is 4552202630201.

It is a super-2 number, since 2×102036202255402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10203620225497 and 10203620225506.

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 47 ways as a sum of consecutive naturals, for example, 25746890 + ... + 26140190.

It is an arithmetic number, because the mean of its divisors is an integer number (180780477696).

Almost surely, 210203620225540 is an apocalyptic number.

10203620225540 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 10203620225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016194394112).

10203620225540 is an abundant number, since it is smaller than the sum of its proper divisors (15828768562684).

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

10203620225540 is a wasteful number, since it uses less digits than its factorization.

10203620225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394498 (or 394489 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10203620225540 its reverse (4552202630201), we get a palindrome (14755822855741).

The spelling of 10203620225540 in words is "ten trillion, two hundred three billion, six hundred twenty million, two hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1151 1610 2254 2302 3220 4508 4604 5635 5755 8057 11270 11510 16114 22540 23020 26473 32228 40285 52946 56399 80570 105892 112798 132365 161140 185311 225596 264730 281995 370622 393301 529460 563990 741244 786602 926555 1127980 1297177 1573204 1853110 1966505 2594354 2753107 3706220 3933010 5188708 5506214 6485885 7866020 9045923 11012428 12971770 13765535 18091846 19271749 25943540 27531070 36183692 38543498 45229615 55062140 63321461 77086996 90459230 96358745 126642922 180918460 192717490 253285844 316607305 385434980 443250227 452689451 633214610 886500454 905378902 1266429220 1773000908 1810757804 2216251135 2263447255 3168826157 4432502270 4526894510 6337652314 8865004540 9053789020 10411857373 12675304628 15844130785 20823714746 22181783099 31688261570 41647429492 44363566198 52059286865 63376523140 72883001611 88727132396 104118573730 110908915495 145766003222 208237147460 221817830990 291532006444 364415008055 443635661980 510181011277 728830016110 1020362022554 1457660032220 2040724045108 2550905056385 5101810112770 10203620225540