Search a number
-
+
102031323400 = 23522632697211
BaseRepresentation
bin101111100000110001…
…0100111000100001000
3100202100201221021002201
41133001202213010020
53132430004322100
6114512245205544
710241300640106
oct1370142470410
9322321837081
10102031323400
113a2a9027476
12179361008b4
139810603256
144d1cb50c76
1529c273836a
hex17c18a7108

102031323400 has 96 divisors (see below), whose sum is σ = 239043182400. Its totient is φ = 40500588800.

The previous prime is 102031323343. The next prime is 102031323421. The reversal of 102031323400 is 4323130201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14145795 + ... + 14153005.

It is an arithmetic number, because the mean of its divisors is an integer number (2490033150).

Almost surely, 2102031323400 is an apocalyptic number.

102031323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119521591200).

102031323400 is an abundant number, since it is smaller than the sum of its proper divisors (137011859000).

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

102031323400 is a wasteful number, since it uses less digits than its factorization.

102031323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102031323400 its reverse (4323130201), we get a palindrome (106354453601).

The spelling of 102031323400 in words is "one hundred two billion, thirty-one million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 263 269 526 538 1052 1076 1315 1345 2104 2152 2630 2690 5260 5380 6575 6725 7211 10520 10760 13150 13450 14422 26300 26900 28844 36055 52600 53800 57688 70747 72110 141494 144220 180275 282988 288440 353735 360550 565976 707470 721100 1414940 1442200 1768675 1896493 1939759 2829880 3537350 3792986 3879518 7074700 7585972 7759036 9482465 9698795 14149400 15171944 15518072 18964930 19397590 37929860 38795180 47412325 48493975 75859720 77590360 94824650 96987950 189649300 193975900 379298600 387951800 510156617 1020313234 2040626468 2550783085 4081252936 5101566170 10203132340 12753915425 20406264680 25507830850 51015661700 102031323400