Search a number
-
+
102102432311024 = 24199411474724203
BaseRepresentation
bin10111001101110010010011…
…001101010110011011110000
3111101111220020001121220221222
4113031302103031112123300
5101340321240132423044
61001053113155404212
730335441312004515
oct2715622315263360
9441456201556858
10102102432311024
112a595442264362
12b550175bb3668
1344c82ab0a9532
141b2dad979330c
15bc0dba2e18ee
hex5cdc933566f0

102102432311024 has 80 divisors (see below), whose sum is σ = 208479264151680. Its totient is φ = 48307641189120.

The previous prime is 102102432311017. The next prime is 102102432311069. The reversal of 102102432311024 is 420113234201201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102102432310984 and 102102432311002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4218573707 + ... + 4218597909.

It is an arithmetic number, because the mean of its divisors is an integer number (2605990801896).

Almost surely, 2102102432311024 is an apocalyptic number.

It is an amenable number.

102102432311024 is an abundant number, since it is smaller than the sum of its proper divisors (106376831840656).

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

102102432311024 is a wasteful number, since it uses less digits than its factorization.

102102432311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39918 (or 39912 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 102102432311024 its reverse (420113234201201), we get a palindrome (522215666512225).

The spelling of 102102432311024 in words is "one hundred two trillion, one hundred two billion, four hundred thirty-two million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 941 1882 3764 7528 14747 15056 17879 24203 29494 35758 48406 58988 71516 96812 117976 143032 193624 235952 280193 286064 387248 459857 560386 919714 1120772 1839428 2241544 3678856 4483088 7357712 13876927 22775023 27753854 45550046 55507708 91100092 111015416 182200184 222030832 263661613 356921641 364400368 432725437 527323226 713843282 865450874 1054646452 1427686564 1730901748 2109292904 2855373128 3461803496 4218585808 5710746256 6781511179 6923606992 13563022358 27126044716 54252089432 108504178864 335863264181 671726528362 1343453056724 2686906113448 5373812226896 6381402019439 12762804038878 25525608077756 51051216155512 102102432311024