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103142251410 = 235111019713187
BaseRepresentation
bin110000000001111000…
…0011101101110010010
3100212020011100020211120
41200003300131232102
53142213404021120
6115214412223110
710310650446222
oct1400360355622
9325204306746
10103142251410
113a8191260a0
1217ba616aa96
13995980bcc3
144dc64d6082
152a3a02c140
hex1803c1db92

103142251410 has 128 divisors (see below), whose sum is σ = 273085406208. Its totient is φ = 24723360000.

The previous prime is 103142251409. The next prime is 103142251439. The reversal of 103142251410 is 14152241301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32361837 + ... + 32365023.

It is an arithmetic number, because the mean of its divisors is an integer number (2133479736).

Almost surely, 2103142251410 is an apocalyptic number.

103142251410 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 103142251410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136542703104).

103142251410 is an abundant number, since it is smaller than the sum of its proper divisors (169943154798).

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

103142251410 is a wasteful number, since it uses less digits than its factorization.

103142251410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 103142251410 its reverse (14152241301), we get a palindrome (117294492711).

The spelling of 103142251410 in words is "one hundred three billion, one hundred forty-two million, two hundred fifty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 971 1010 1111 1515 1942 2222 2913 3030 3187 3333 4855 5555 5826 6374 6666 9561 9710 10681 11110 14565 15935 16665 19122 21362 29130 31870 32043 33330 35057 47805 53405 64086 70114 95610 98071 105171 106810 160215 175285 196142 210342 294213 320430 321887 350570 490355 525855 588426 643774 965661 980710 1051710 1078781 1471065 1609435 1931322 2157562 2942130 3094577 3218870 3236343 3540757 4828305 5393905 6189154 6472686 7081514 9283731 9656610 10622271 10787810 15472885 16181715 17703785 18567462 21244542 30945770 32363430 34040347 35407570 46418655 53111355 68080694 92837310 102121041 106222710 170201735 204242082 312552277 340403470 510605205 625104554 937656831 1021210410 1562761385 1875313662 3125522770 3438075047 4688284155 6876150094 9376568310 10314225141 17190375235 20628450282 34380750470 51571125705 103142251410