Search a number
-
+
135030420100 = 225223336715791
BaseRepresentation
bin111110111000001110…
…0001011001010000100
3110220112111120001201101
41331300130023022010
54203020241420400
6142010534305444
712520115430112
oct1756034131204
9426474501641
10135030420100
11522a2174214
12222054b8284
13c96c124684
14676d608ab2
1537a47c856a
hex1f7070b284

135030420100 has 72 divisors (see below), whose sum is σ = 295094112768. Its totient is φ = 53630419200.

The previous prime is 135030420097. The next prime is 135030420103. The reversal of 135030420100 is 1024030531.

It is an interprime number because it is at equal distance from previous prime (135030420097) and next prime (135030420103).

It is not an unprimeable number, because it can be changed into a prime (135030420103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8543205 + ... + 8558995.

It is an arithmetic number, because the mean of its divisors is an integer number (4098529344).

Almost surely, 2135030420100 is an apocalyptic number.

135030420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135030420100 is an abundant number, since it is smaller than the sum of its proper divisors (160063692668).

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

135030420100 is a wasteful number, since it uses less digits than its factorization.

135030420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16405 (or 16398 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 135030420100 its reverse (1024030531), we get a palindrome (136054450631).

The spelling of 135030420100 in words is "one hundred thirty-five billion, thirty million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 367 466 734 932 1165 1468 1835 2330 3670 4660 5825 7340 9175 11650 15791 18350 23300 31582 36700 63164 78955 85511 157910 171022 315820 342044 394775 427555 789550 855110 1579100 1710220 2137775 3679303 4275550 5795297 7358606 8551100 11590594 14717212 18396515 23181188 28976485 36793030 57952970 73586060 91982575 115905940 144882425 183965150 289764850 367930300 579529700 1350304201 2700608402 5401216804 6751521005 13503042010 27006084020 33757605025 67515210050 135030420100