Search a number
-
+
215235011165106 = 2319101281407316333
BaseRepresentation
bin110000111100000101001110…
…011000100011101110110010
31001020002021011222221120220010
4300330011032120203232302
5211202402300324240411
62041433333223555350
763223134136456032
oct6074051630435662
91036067158846803
10215235011165106
1162642723701619
1220181ba18bbb56
13931376113046a
143b216043918c2
1519d3b536b17a6
hexc3c14e623bb2

215235011165106 has 128 divisors (see below), whose sum is σ = 459382130645760. Its totient is φ = 67035935232000.

The previous prime is 215235011165099. The next prime is 215235011165107. The reversal of 215235011165106 is 601561110532512.

It is a super-2 number, since 2×2152350111651062 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215235011165107) 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, 13177914516 + ... + 13177930848.

It is an arithmetic number, because the mean of its divisors is an integer number (3588922895670).

Almost surely, 2215235011165106 is an apocalyptic number.

215235011165106 is an abundant number, since it is smaller than the sum of its proper divisors (244147119480654).

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

215235011165106 is a wasteful number, since it uses less digits than its factorization.

215235011165106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812.

The product of its (nonzero) digits is 54000, while the sum is 39.

Adding to 215235011165106 its reverse (601561110532512), we get a palindrome (816796121697618).

The spelling of 215235011165106 in words is "two hundred fifteen trillion, two hundred thirty-five billion, eleven million, one hundred sixty-five thousand, one hundred six".

Divisors: 1 2 3 6 19 38 57 101 114 202 281 303 562 606 843 1686 1919 3838 4073 5339 5757 8146 10678 11514 12219 16017 16333 24438 28381 32034 32666 48999 56762 77387 85143 97998 154774 170286 232161 310327 411373 464322 539239 620654 822746 930981 1078478 1144513 1234119 1617717 1649633 1861962 2289026 2468238 3235434 3299266 3433539 4589573 4948899 6867078 7816087 9179146 9897798 13768719 15632174 21745747 23448261 27537438 31343027 43491494 46896522 62686054 65237241 66524309 87201887 94029081 115595813 130474482 133048618 174403774 188058162 199572927 231191626 261605661 346787439 399145854 463546873 523211322 693574878 927093746 1263961871 1390640619 2196320447 2527923742 2781281238 3791885613 4392640894 6588961341 6718955209 7583771226 8807390587 13177922682 13437910418 17614781174 18693330829 20156865627 26422171761 37386661658 40313731254 52844343522 56079992487 112159984974 127660148971 255320297942 355173285751 382980446913 710346571502 765960893826 1065519857253 1888026413729 2131039714506 3776052827458 5664079241187 11328158482374 35872501860851 71745003721702 107617505582553 215235011165106