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10212310003302 = 23311167467220447
BaseRepresentation
bin1001010010011011110100…
…0111000010111001100110
31100011021202102221220021000
42110212331013002321212
52314304302330101202
633415245341134130
72102546363526621
oct224467507027146
940137672856230
1010212310003302
11328801a842970
12118b269b5a346
1359102a900204
142743c8086db8
1512a9a3e7091c
hex949bd1c2e66

10212310003302 has 128 divisors (see below), whose sum is σ = 24958805114880. Its totient is φ = 3069507739680.

The previous prime is 10212310003237. The next prime is 10212310003303. The reversal of 10212310003302 is 20330001321201.

10212310003302 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 310 + 0 + 0 + 330 + 2 = 666.

10212310003302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212310003303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46215243 + ... + 46435689.

It is an arithmetic number, because the mean of its divisors is an integer number (194990664960).

Almost surely, 210212310003302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212310003302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479402557440).

10212310003302 is an abundant number, since it is smaller than the sum of its proper divisors (14746495111578).

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

10212310003302 is a wasteful number, since it uses less digits than its factorization.

10212310003302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221103 (or 221097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10212310003302 its reverse (20330001321201), we get a palindrome (30542311324503).

The spelling of 10212310003302 in words is "ten trillion, two hundred twelve billion, three hundred ten million, three thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 467 501 594 934 1002 1401 1503 1837 2802 3006 3674 4203 4509 5137 5511 8406 9018 10274 11022 12609 15411 16533 25218 30822 33066 46233 49599 77989 92466 99198 138699 155978 220447 233967 277398 440894 467934 661341 701901 857879 1322682 1403802 1715758 1984023 2105703 2424917 2573637 3968046 4211406 4849834 5147274 5952069 7274751 7720911 11904138 14549502 15441822 21824253 23162733 36814649 43648506 46325466 65472759 73629298 102948749 110443947 130945518 205897498 220887894 308846247 331331841 404961139 617692494 662663682 809922278 926538741 993995523 1132436239 1214883417 1853077482 1987991046 2264872478 2429766834 2779616223 3397308717 3644650251 5559232446 6794617434 7289300502 10191926151 10933950753 17192441083 20383852302 21867901506 30575778453 34384882166 51577323249 61151556906 103154646498 154731969747 189116851913 309463939494 378233703826 464195909241 567350555739 928391818482 1134701111478 1702051667217 3404103334434 5106155001651 10212310003302