Search a number
-
+
102004323402024 = 23326160673828091
BaseRepresentation
bin10111001100010110111011…
…011101100100000100101000
3111101011111222200101221212200
4113030112323131210010220
5101332214323242331044
61000540050025140200
730325366140022041
oct2714267335440450
9441144880357780
10102004323402024
112a55787734998a
12b53515562a660
1344bbc74301564
141b2906d95b8c8
15bbd577105369
hex5cc5bb764128

102004323402024 has 96 divisors (see below), whose sum is σ = 280836944675040. Its totient is φ = 33438519273600.

The previous prime is 102004323402019. The next prime is 102004323402029. The reversal of 102004323402024 is 420204323400201.

102004323402024 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 432 + 3 + 4 + 0 + 202 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (102004323402019) and next prime (102004323402029).

It is a super-2 number, since 2×1020043234020242 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102004323402029) 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 23 ways as a sum of consecutive naturals, for example, 24732219 + ... + 28560309.

It is an arithmetic number, because the mean of its divisors is an integer number (2925384840365).

Almost surely, 2102004323402024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102004323402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140418472337520).

102004323402024 is an abundant number, since it is smaller than the sum of its proper divisors (178832621273016).

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

102004323402024 is a wasteful number, since it uses less digits than its factorization.

102004323402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834231 (or 3834224 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 102004323402024 its reverse (420204323400201), we get a palindrome (522208646802225).

The spelling of 102004323402024 in words is "one hundred two trillion, four billion, three hundred twenty-three million, four hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 6067 12134 18201 24268 36402 48536 54603 72804 109206 145608 218412 370087 436824 740174 1110261 1480348 2220522 2960696 3330783 3828091 4441044 6661566 7656182 8882088 11484273 13323132 15312364 22968546 26646264 30624728 34452819 45937092 68905638 91874184 137811276 233513551 275622552 467027102 700540653 934054204 1401081306 1868108408 2101621959 2802162612 4203243918 5604325224 8406487836 16812975672 23225028097 46450056194 69675084291 92900112388 139350168582 185800224776 209025252873 278700337164 418050505746 557400674328 836101011492 1416726713917 1672202022984 2833453427834 4250180141751 5666906855668 8500360283502 11333813711336 12750540425253 17000720567004 25501080850506 34001441134008 51002161701012 102004323402024