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102141340 = 22571924347
BaseRepresentation
bin1100001011010…
…00110110011100
321010012022120121
412011220312130
5202122010330
614045124324
72350121110
oct605506634
9233168517
10102141340
1152724334
122a2596a4
1318213382
14d7cb740
158e7917a
hex6168d9c

102141340 has 144 divisors (see below), whose sum is σ = 270369792. Its totient is φ = 31715712.

The previous prime is 102141337. The next prime is 102141371. The reversal of 102141340 is 43141201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2173197 + ... + 2173243.

It is an arithmetic number, because the mean of its divisors is an integer number (1877568).

Almost surely, 2102141340 is an apocalyptic number.

102141340 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 102141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

102141340 is an abundant number, since it is smaller than the sum of its proper divisors (168228452).

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

102141340 is a wasteful number, since it uses less digits than its factorization.

102141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 102141340 is about 10106.4998886855. The cubic root of 102141340 is about 467.4485859556.

Adding to 102141340 its reverse (43141201), we get a palindrome (145282541).

The spelling of 102141340 in words is "one hundred two million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 47 70 76 86 94 95 133 140 172 188 190 215 235 266 301 329 361 380 430 470 532 602 658 665 722 817 860 893 940 1204 1316 1330 1444 1505 1634 1645 1786 1805 2021 2527 2660 3010 3268 3290 3572 3610 4042 4085 4465 5054 5719 6020 6251 6580 7220 8084 8170 8930 10105 10108 11438 12502 12635 14147 15523 16340 16967 17860 20210 22876 25004 25270 28294 28595 31046 31255 33934 38399 40420 50540 56588 57190 62092 62510 67868 70735 76798 77615 84835 108661 114380 118769 125020 141470 153596 155230 169670 191995 217322 237538 268793 282940 310460 339340 383990 434644 475076 537586 543305 593845 729581 767980 1075172 1086610 1187690 1343965 1459162 2173220 2375380 2687930 2918324 3647905 5107067 5375860 7295810 10214134 14591620 20428268 25535335 51070670 102141340