Search a number
-
+
10210120210010 = 2572954155716691
BaseRepresentation
bin1001010010010011101010…
…0101101001011001011010
31100011002002211110212120202
42110210322211221121122
52314240311233210020
633414244154222202
72102441203560620
oct224447245513132
940132084425522
1010210120210010
1132870a6754846
12118a958724962
13590a6c033536
1427425b305510
1512a8c6abce75
hex9493a96965a

10210120210010 has 128 divisors (see below), whose sum is σ = 21808490595840. Its totient is φ = 3367395763200.

The previous prime is 10210120210001. The next prime is 10210120210093. The reversal of 10210120210010 is 1001202101201.

It is a junction number, because it is equal to n+sod(n) for n = 10210120209973 and 10210120210000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611705765 + ... + 611722455.

It is an arithmetic number, because the mean of its divisors is an integer number (170378832780).

Almost surely, 210210120210010 is an apocalyptic number.

10210120210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10210120210010 is an abundant number, since it is smaller than the sum of its proper divisors (11598370385830).

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

10210120210010 is a wasteful number, since it uses less digits than its factorization.

10210120210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17832.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10210120210010 its reverse (1001202101201), we get a palindrome (11211322311211).

The spelling of 10210120210010 in words is "ten trillion, two hundred ten billion, one hundred twenty million, two hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 541 557 1015 1082 1114 2030 2705 2785 3787 3899 5410 5570 7574 7798 15689 16153 16691 18935 19495 31378 32306 33382 37870 38990 78445 80765 83455 109823 113071 116837 156890 161530 166910 219646 226142 233674 301337 484039 549115 565355 584185 602674 968078 1098230 1130710 1168370 1506685 2109359 2420195 3013370 3388273 4218718 4840390 6776546 8738773 9029831 9296887 10546795 16941365 17477546 18059662 18593774 21093590 33882730 43693865 45149155 46484435 61171411 63208817 65078209 87387730 90298310 92968870 122342822 126417634 130156418 261865099 269609723 305857055 316044085 325391045 523730198 539219446 611714110 632088170 650782090 1309325495 1348048615 1833055693 1887268061 2618650990 2696097230 3666111386 3774536122 5029615867 9165278465 9436340305 10059231734 18330556930 18872680610 25148079335 35207311069 50296158670 70414622138 145858860143 176036555345 291717720286 352073110690 729294300715 1021012021001 1458588601430 2042024042002 5105060105005 10210120210010