Search a number
-
+
10232412334410 = 2357203279239699
BaseRepresentation
bin1001010011100110101101…
…0011010110100101001010
31100020012122102001010101210
42110321223103112211022
52320121440024200120
633432412203553550
72104160500525140
oct224715323264512
940205572033353
1010232412334410
1132955a6005852
12119313a22b8b6
13592bb25566a6
14275373ba9590
1512b27dba1ce0
hex94e6b4d694a

10232412334410 has 64 divisors (see below), whose sum is σ = 28066300416000. Its totient is φ = 2338815842112.

The previous prime is 10232412334387. The next prime is 10232412334483. The reversal of 10232412334410 is 1443321423201.

10232412334410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42568741 + ... + 42808439.

It is an arithmetic number, because the mean of its divisors is an integer number (438535944000).

Almost surely, 210232412334410 is an apocalyptic number.

10232412334410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10232412334410 is an abundant number, since it is smaller than the sum of its proper divisors (17833888081590).

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

10232412334410 is a wasteful number, since it uses less digits than its factorization.

10232412334410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442995.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10232412334410 its reverse (1443321423201), we get a palindrome (11675733757611).

The spelling of 10232412334410 in words is "ten trillion, two hundred thirty-two billion, four hundred twelve million, three hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 203279 239699 406558 479398 609837 719097 1016395 1198495 1219674 1422953 1438194 1677893 2032790 2396990 2845906 3049185 3355786 3595485 4268859 5033679 6098370 7114765 7190970 8389465 8537718 10067358 14229530 16778930 21344295 25168395 42688590 50336790 48725773021 97451546042 146177319063 243628865105 292354638126 341080411147 487257730210 682160822294 730886595315 1023241233441 1461773190630 1705402055735 2046482466882 3410804111470 5116206167205 10232412334410