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103040402430 = 23579730716477
BaseRepresentation
bin101111111110110101…
…1111100001111111110
3100211222001200210022010
41133331223330033332
53142011320334210
6115200333232050
710305302653350
oct1377553741776
9324861623263
10103040402430
113a776691489
1217b78032626
13994169ba34
144db6b830d0
152a3110e920
hex17fdafc3fe

103040402430 has 128 divisors (see below), whose sum is σ = 286486244352. Its totient is φ = 23231950848.

The previous prime is 103040402369. The next prime is 103040402467. The reversal of 103040402430 is 34204040301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103040402397 and 103040402406.

It is a congruent number.

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, 6245352 + ... + 6261828.

It is an arithmetic number, because the mean of its divisors is an integer number (2238173784).

Almost surely, 2103040402430 is an apocalyptic number.

103040402430 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 103040402430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143243122176).

103040402430 is an abundant number, since it is smaller than the sum of its proper divisors (183445841922).

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

103040402430 is a wasteful number, since it uses less digits than its factorization.

103040402430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16898.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 103040402430 its reverse (34204040301), we get a palindrome (137244442731).

The spelling of 103040402430 in words is "one hundred three billion, forty million, four hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 307 485 582 614 679 921 970 1358 1455 1535 1842 2037 2149 2910 3070 3395 4074 4298 4605 6447 6790 9210 10185 10745 12894 16477 20370 21490 29779 32235 32954 49431 59558 64470 82385 89337 98862 115339 148895 164770 178674 208453 230678 247155 297790 346017 416906 446685 494310 576695 625359 692034 893370 1042265 1153390 1250718 1598269 1730085 2084530 3126795 3196538 3460170 4794807 5058439 6253590 7991345 9589614 10116878 11187883 15175317 15982690 22375766 23974035 25292195 30350634 33563649 35409073 47948070 50584390 55939415 67127298 70818146 75876585 106227219 111878830 151753170 167818245 177045365 212454438 335636490 354090730 490668583 531136095 981337166 1062272190 1472005749 2453342915 2944011498 3434680081 4906685830 6869360162 7360028745 10304040243 14720057490 17173400405 20608080486 34346800810 51520201215 103040402430