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103041142410 = 235231091136879
BaseRepresentation
bin101111111110110111…
…0110000111010001010
3100211222010002101100210
41133331232300322022
53142012013024120
6115200401141550
710305312154623
oct1377556607212
9324863071323
10103041142410
113a777047438
1217b7832a8b6
13994189a7ab
144db6cd6a4a
152a31208ce0
hex17fdbb0e8a

103041142410 has 64 divisors (see below), whose sum is σ = 258289274880. Its totient is φ = 26258675520.

The previous prime is 103041142409. The next prime is 103041142459. The reversal of 103041142410 is 14241140301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684351 + ... + 821229.

It is an arithmetic number, because the mean of its divisors is an integer number (4035769920).

Almost surely, 2103041142410 is an apocalyptic number.

103041142410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103041142410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129144637440).

103041142410 is an abundant number, since it is smaller than the sum of its proper divisors (155248132470).

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

103041142410 is a wasteful number, since it uses less digits than its factorization.

103041142410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138003.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 103041142410 its reverse (14241140301), we get a palindrome (117282282711).

The spelling of 103041142410 in words is "one hundred three billion, forty-one million, one hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1091 2182 3273 5455 6546 10910 16365 25093 32730 50186 75279 125465 136879 150558 250930 273758 376395 410637 684395 752790 821274 1368790 2053185 3148217 4106370 6296434 9444651 15741085 18889302 31482170 47223255 94446510 149334989 298669978 448004967 746674945 896009934 1493349890 2240024835 3434704747 4480049670 6869409494 10304114241 17173523735 20608228482 34347047470 51520571205 103041142410