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10216151130 = 23543151179293
BaseRepresentation
bin10011000001110111…
…00001100001011010
3222100222111020201210
421200323201201122
5131410313314010
64405423323550
7511110565113
oct114073414132
928328436653
1010216151130
114372829609
121b914505b6
13c6a70b053
146ccb4b20a
153ebd57b20
hex260ee185a

10216151130 has 128 divisors (see below), whose sum is σ = 25482885120. Its totient is φ = 2619590400.

The previous prime is 10216151119. The next prime is 10216151131. The reversal of 10216151130 is 3115161201.

It is a happy number.

It is a super-2 number, since 2×102161511302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10216151097 and 10216151106.

It is not an unprimeable number, because it can be changed into a prime (10216151131) 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, 34867264 + ... + 34867556.

It is an arithmetic number, because the mean of its divisors is an integer number (199085040).

Almost surely, 210216151130 is an apocalyptic number.

10216151130 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 10216151130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741442560).

10216151130 is an abundant number, since it is smaller than the sum of its proper divisors (15266733990).

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

10216151130 is a wasteful number, since it uses less digits than its factorization.

10216151130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 10216151130 in words is "ten billion, two hundred sixteen million, one hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 151 179 215 258 293 302 358 430 453 537 586 645 755 879 895 906 1074 1290 1465 1510 1758 1790 2265 2685 2930 4395 4530 5370 6493 7697 8790 12599 12986 15394 19479 23091 25198 27029 32465 37797 38485 38958 44243 46182 52447 54058 62995 64930 75594 76970 81087 88486 97395 104894 115455 125990 132729 135145 157341 162174 188985 194790 221215 230910 262235 265458 270290 314682 377970 405435 442430 524470 663645 786705 810870 1162247 1327290 1573410 1902449 2255221 2324494 3486741 3804898 4510442 5707347 5811235 6765663 6973482 7919497 9512245 11276105 11414694 11622470 13531326 15838994 17433705 19024490 22552210 23758491 28536735 33828315 34867410 39597485 47516982 57073470 67656630 79194970 118792455 237584910 340538371 681076742 1021615113 1702691855 2043230226 3405383710 5108075565 10216151130