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103012140 = 223571122027
BaseRepresentation
bin1100010001111…
…01011100101100
321011211120002110
412020331130230
5202332342030
614115524020
72360405640
oct610753454
9234746073
10103012140
1153169600
122a5b9610
131845983a
14d976c20
15909c1b0
hex623d72c

103012140 has 144 divisors (see below), whose sum is σ = 362509056. Its totient is φ = 21394560.

The previous prime is 103012127. The next prime is 103012153. The reversal of 103012140 is 41210301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103012127) and next prime (103012153).

It is a super-2 number, since 2×1030121402 = 21223001974759200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49807 + ... + 51833.

It is an arithmetic number, because the mean of its divisors is an integer number (2517424).

Almost surely, 2103012140 is an apocalyptic number.

103012140 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 103012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181254528).

103012140 is an abundant number, since it is smaller than the sum of its proper divisors (259496916).

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

103012140 is a wasteful number, since it uses less digits than its factorization.

103012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103012140 is about 10149.4896423416. The cubic root of 103012140 is about 468.7732304932.

Adding to 103012140 its reverse (41210301), we get a palindrome (144222441).

The spelling of 103012140 in words is "one hundred three million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2027 2310 2420 2541 3388 3630 4054 4235 4620 5082 6081 7260 8108 8470 10135 10164 12162 12705 14189 16940 20270 22297 24324 25410 28378 30405 40540 42567 44594 50820 56756 60810 66891 70945 85134 89188 111485 121620 133782 141890 156079 170268 212835 222970 245267 267564 283780 312158 334455 425670 445940 468237 490534 624316 668910 735801 780395 851340 936474 981068 1226335 1337820 1471602 1560790 1716869 1872948 2341185 2452670 2943204 3121580 3433738 3679005 4682370 4905340 5150607 6867476 7358010 8584345 9364740 10301214 14716020 17168690 20602428 25753035 34337380 51506070 103012140