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1010012122210 = 257213220815861
BaseRepresentation
bin11101011001010010110…
…10011110110001100010
310120120000110222221011011
432230221122132301202
5113022001100402320
62051554305011134
7132654020246500
oct16545132366142
93516013887134
101010012122210
1135a38656a563
121438b7023aaa
137432263b800
1436c56043670
151b41571b05a
hexeb2969ec62

1010012122210 has 144 divisors (see below), whose sum is σ = 2291527058472. Its totient is φ = 319444070400.

The previous prime is 1010012122201. The next prime is 1010012122247. The reversal of 1010012122210 is 122212100101.

It can be written as a sum of positive squares in 12 ways, for example, as 23826083449 + 986186038761 = 154357^2 + 993069^2 .

It is a super-2 number, since 2×10100121222102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172324680 + ... + 172330540.

Almost surely, 21010012122210 is an apocalyptic number.

1010012122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010012122210 is an abundant number, since it is smaller than the sum of its proper divisors (1281514936262).

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

1010012122210 is a wasteful number, since it uses less digits than its factorization.

1010012122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010012122210 its reverse (122212100101), we get a palindrome (1132224222311).

The spelling of 1010012122210 in words is "one trillion, ten billion, twelve million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 169 182 245 338 455 490 637 845 910 1183 1274 1690 2081 2366 3185 4162 5861 5915 6370 8281 10405 11722 11830 14567 16562 20810 27053 29134 29305 41027 41405 54106 58610 72835 76193 82054 82810 101969 135265 145670 152386 189371 203938 205135 270530 287189 351689 378742 380965 410270 509845 533351 574378 703378 761930 946855 990509 1019690 1066702 1325597 1435945 1758445 1893710 1981018 2461823 2651194 2666755 2871890 3516890 3733457 4923646 4952545 5333510 6627985 6933563 7466914 9905090 12196741 12309115 13255970 13867126 17232761 18667285 24393482 24618230 34465522 34667815 37334570 48534941 60983705 69335630 85377187 86163805 97069882 121967410 158557633 170754374 172327610 242674705 317115266 426885935 485349410 597640309 792788165 853771870 1109903431 1195280618 1585576330 2061249229 2219806862 2988201545 4122498458 5549517155 5976403090 7769324017 10306246145 11099034310 14428744603 15538648034 20612492290 28857489206 38846620085 72143723015 77693240170 101001212221 144287446030 202002424442 505006061105 1010012122210