Search a number
-
+
1010122110030 = 2351123157847681
BaseRepresentation
bin11101011001011111111…
…10000011010001001110
310120120022010221220002010
432230233332003101032
5113022212230010110
62052013234242050
7132656524160625
oct16545776032116
93516263856063
101010122110030
1135a432662a90
12143927a26326
137433c36b467
1436c668b46bc
151b4201e5020
hexeb2ff8344e

1010122110030 has 128 divisors (see below), whose sum is σ = 2777250364416. Its totient is φ = 232739020800.

The previous prime is 1010122110029. The next prime is 1010122110037. The reversal of 1010122110030 is 300112210101.

It is a junction number, because it is equal to n+sod(n) for n = 1010122109988 and 1010122110015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010122110037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767790 + ... + 1615470.

It is an arithmetic number, because the mean of its divisors is an integer number (21697268472).

Almost surely, 21010122110030 is an apocalyptic number.

1010122110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010122110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388625182208).

1010122110030 is an abundant number, since it is smaller than the sum of its proper divisors (1767128254386).

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

1010122110030 is a wasteful number, since it uses less digits than its factorization.

1010122110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847882.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1010122110030 its reverse (300112210101), we get a palindrome (1310234320131).

The spelling of 1010122110030 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 157 165 230 253 314 330 345 471 506 690 759 785 942 1265 1518 1570 1727 2355 2530 3454 3611 3795 4710 5181 7222 7590 8635 10362 10833 17270 18055 21666 25905 36110 39721 51810 54165 79442 108330 119163 198605 238326 397210 595815 847681 1191630 1695362 2543043 4238405 5086086 8476810 9324491 12715215 18648982 19496663 25430430 27973473 38993326 46622455 55946946 58489989 93244910 97483315 116979978 133085917 139867365 194966630 214463293 266171834 279734730 292449945 399257751 428926586 584899890 643389879 665429585 798515502 1072316465 1286779758 1330859170 1463945087 1996288755 2144632930 2927890174 3060976091 3216949395 3992577510 4391835261 6121952182 6433898790 7319725435 8783670522 9182928273 14639450870 15304880455 18365856546 21959176305 30609760910 33670737001 43918352610 45914641365 67341474002 91829282730 101012211003 168353685005 202024422006 336707370010 505061055015 1010122110030