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102032341140 = 223517193518299
BaseRepresentation
bin101111100000110011…
…0011111100010010100
3100202100210211222011210
41133001212133202110
53132430234404030
6114512323101420
710241312406222
oct1370146374224
9322323758153
10102032341140
113a2a9662084
1217936511870
13981089b572
144d1cd37b12
1529c2889bb0
hex17c199f894

102032341140 has 96 divisors (see below), whose sum is σ = 304063804800. Its totient is φ = 25475383296.

The previous prime is 102032341127. The next prime is 102032341153. The reversal of 102032341140 is 41143230201.

102032341140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102032341127) and next prime (102032341153).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62290 + ... + 456009.

It is an arithmetic number, because the mean of its divisors is an integer number (3167331300).

Almost surely, 2102032341140 is an apocalyptic number.

102032341140 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 102032341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152031902400).

102032341140 is an abundant number, since it is smaller than the sum of its proper divisors (202031463660).

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

102032341140 is a wasteful number, since it uses less digits than its factorization.

102032341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518521 (or 518519 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102032341140 its reverse (41143230201), we get a palindrome (143175571341).

The spelling of 102032341140 in words is "one hundred two billion, thirty-two million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 193 204 255 340 386 510 579 772 965 1020 1158 1930 2316 2895 3281 3860 5790 6562 9843 11580 13124 16405 19686 32810 39372 49215 65620 98430 196860 518299 1036598 1554897 2073196 2591495 3109794 5182990 6219588 7774485 8811083 10365980 15548970 17622166 26433249 31097940 35244332 44055415 52866498 88110830 100031707 105732996 132166245 176221660 200063414 264332490 300095121 400126828 500158535 528664980 600190242 1000317070 1200380484 1500475605 1700539019 2000634140 3000951210 3401078038 5101617057 6001902420 6802156076 8502695095 10203234114 17005390190 20406468228 25508085285 34010780380 51016170570 102032341140