Search a number
-
+
2122120214130 = 235745734616389
BaseRepresentation
bin11110111000011000001…
…110001011011001110010
321111212120012120111110210
4132320120032023121302
5234232100233323010
64302515533004550
7306214055124540
oct36703016133162
97455505514423
102122120214130
11748a935a0194
122a3345923756
13125165a962c7
14749d5624d90
153a30418eb20
hex1ee1838b672

2122120214130 has 128 divisors (see below), whose sum is σ = 5836008061440. Its totient is φ = 483779082240.

The previous prime is 2122120214117. The next prime is 2122120214131. The reversal of 2122120214130 is 314120212212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2122120214097 and 2122120214106.

It is not an unprimeable number, because it can be changed into a prime (2122120214131) 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, 332148976 + ... + 332155364.

It is an arithmetic number, because the mean of its divisors is an integer number (45593812980).

Almost surely, 22122120214130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122120214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918004030720).

2122120214130 is an abundant number, since it is smaller than the sum of its proper divisors (3713887847310).

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

2122120214130 is a wasteful number, since it uses less digits than its factorization.

2122120214130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2122120214130 its reverse (314120212212), we get a palindrome (2436240426342).

The spelling of 2122120214130 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 457 914 1371 2285 2742 3199 3461 4570 6389 6398 6855 6922 9597 10383 12778 13710 15995 17305 19167 19194 20766 24227 31945 31990 34610 38334 44723 47985 48454 51915 63890 72681 89446 95835 95970 103830 121135 134169 145362 191670 223615 242270 268338 363405 447230 670845 726810 1341690 1581677 2919773 3163354 4745031 5839546 7908385 8759319 9490062 11071739 14598865 15816770 17518638 20438411 22112329 22143478 23725155 29197730 33215217 40876822 43796595 44224658 47450310 55358695 61315233 66336987 66430434 87593190 102192055 110561645 110717390 122630466 132673974 154786303 166076085 204384110 221123290 306576165 309572606 331684935 332152170 464358909 613152330 663369870 773931515 928717818 1547863030 2321794545 4643589090 10105334353 20210668706 30316003059 50526671765 60632006118 70737340471 101053343530 141474680942 151580015295 212212021413 303160030590 353686702355 424424042826 707373404710 1061060107065 2122120214130