Search a number
-
+
10203412410 = 23251712752511
BaseRepresentation
bin10011000000010101…
…11011011110111010
3222100002112001111100
421200022323132322
5131344033144120
64404250312230
7510564401022
oct114012733672
928302461440
1010203412410
114366618844
121b89128676
13c67b9aa49
146cb192a82
153eab8d490
hex2602bb7ba

10203412410 has 96 divisors (see below), whose sum is σ = 28311109632. Its totient is φ = 2540643840.

The previous prime is 10203412399. The next prime is 10203412441. The reversal of 10203412410 is 1421430201.

10203412410 is a `hidden beast` number, since 10 + 203 + 41 + 2 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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, 168055 + ... + 220565.

It is an arithmetic number, because the mean of its divisors is an integer number (294907392).

Almost surely, 210203412410 is an apocalyptic number.

10203412410 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 10203412410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155554816).

10203412410 is an abundant number, since it is smaller than the sum of its proper divisors (18107697222).

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

10203412410 is a wasteful number, since it uses less digits than its factorization.

10203412410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52668 (or 52665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10203412410 its reverse (1421430201), we get a palindrome (11624842611).

The spelling of 10203412410 in words is "ten billion, two hundred three million, four hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 127 153 170 254 255 306 381 510 635 762 765 1143 1270 1530 1905 2159 2286 3810 4318 5715 6477 10795 11430 12954 19431 21590 32385 38862 52511 64770 97155 105022 157533 194310 262555 315066 472599 525110 787665 892687 945198 1575330 1785374 2362995 2678061 4463435 4725990 5356122 6668897 8034183 8926870 13337794 13390305 16068366 20006691 26780610 33344485 40013382 40170915 60020073 66688970 80341830 100033455 113371249 120040146 200066910 226742498 300100365 340113747 566856245 600200730 680227494 1020341241 1133712490 1700568735 2040682482 3401137470 5101706205 10203412410