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10210441133020 = 22519371549746861
BaseRepresentation
bin1001010010010100110110…
…1101110111101111011100
31100011002221012100110012011
42110211031231313233130
52314241440412224040
633414340100521004
72102452151432332
oct224451555675734
940132835313164
1010210441133020
113287250919a77
12118aa280b0164
13590ac06788cb
1427428bba3b52
1512a8e4d613ea
hex9494db77bdc

10210441133020 has 96 divisors (see below), whose sum is σ = 23182451449920. Its totient is φ = 3764323031040.

The previous prime is 10210441132889. The next prime is 10210441133027. The reversal of 10210441133020 is 2033114401201.

It is a junction number, because it is equal to n+sod(n) for n = 10210441132982 and 10210441133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210441133027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217864390 + ... + 217911250.

It is an arithmetic number, because the mean of its divisors is an integer number (241483869270).

Almost surely, 210210441133020 is an apocalyptic number.

10210441133020 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 10210441133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11591225724960).

10210441133020 is an abundant number, since it is smaller than the sum of its proper divisors (12972010316900).

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

10210441133020 is a wasteful number, since it uses less digits than its factorization.

10210441133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62423 (or 62421 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10210441133020 its reverse (2033114401201), we get a palindrome (12243555534221).

The spelling of 10210441133020 in words is "ten trillion, two hundred ten billion, four hundred forty-one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 14060 15497 30994 46861 61988 77485 93722 154970 187444 234305 294443 309940 468610 573389 588886 890359 937220 1146778 1177772 1472215 1733857 1780718 2293556 2866945 2944430 3467714 3561436 4451795 5733890 5888860 6935428 8669285 8903590 10894391 11467780 17338570 17807180 21788782 32943283 34677140 43577564 54471955 65886566 108943910 131773132 164716415 217887820 329432830 658865660 726204917 1452409834 2904819668 3631024585 7262049170 13797893423 14524098340 26869581929 27595786846 53739163858 55191573692 68989467115 107478327716 134347909645 137978934230 268695819290 275957868460 510522056651 537391638580 1021044113302 2042088226604 2552610283255 5105220566510 10210441133020