Search a number
-
+
2115013530 = 2357233971103
BaseRepresentation
bin111111000010000…
…1000101110011010
312110101202211010110
41332010020232122
513312420413110
6545512025150
7103261214130
oct17604105632
95411684113
102115013530
11995962a73
124b03921b6
132792466c6
14160c77750
15c5a30a20
hex7e108b9a

2115013530 has 128 divisors (see below), whose sum is σ = 6074155008. Its totient is φ = 460829952.

The previous prime is 2115013501. The next prime is 2115013541. The reversal of 2115013530 is 353105112.

It is a super-3 number, since 3×21150135303 (a number of 29 digits) contains 333 as substring.

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 = 2115013497 and 2115013506.

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, 1916959 + ... + 1918061.

It is an arithmetic number, because the mean of its divisors is an integer number (47454336).

Almost surely, 22115013530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115013530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037077504).

2115013530 is an abundant number, since it is smaller than the sum of its proper divisors (3959141478).

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

2115013530 is a wasteful number, since it uses less digits than its factorization.

2115013530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 2115013530 is about 45989.2762500129. The cubic root of 2115013530 is about 1283.6236693231.

Adding to 2115013530 its reverse (353105112), we get a palindrome (2468118642).

The spelling of 2115013530 in words is "two billion, one hundred fifteen million, thirteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 397 483 690 794 805 966 1103 1191 1610 1985 2206 2382 2415 2779 3309 3970 4830 5515 5558 5955 6618 7721 8337 9131 11030 11910 13895 15442 16545 16674 18262 23163 25369 27393 27790 33090 38605 41685 45655 46326 50738 54786 63917 76107 77210 83370 91310 115815 126845 127834 136965 152214 177583 191751 231630 253690 273930 319585 355166 380535 383502 437891 532749 639170 761070 875782 887915 958755 1065498 1313673 1775830 1917510 2189455 2627346 2663745 3065237 4378910 5327490 6130474 6568365 9195711 10071493 13136730 15326185 18391422 20142986 30214479 30652370 45978555 50357465 60428958 70500451 91957110 100714930 141000902 151072395 211501353 302144790 352502255 423002706 705004510 1057506765 2115013530