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135379416100 = 22526720205883
BaseRepresentation
bin111111000010100111…
…1011111010000100100
3110221102211020220020011
41332011033133100210
54204224112303400
6142105322420004
712531554023135
oct1760517372044
9427384226204
10135379416100
1152461173065
12222a2361604
13c9c6518896
1467a3ad3c8c
1537c52648ba
hex1f853df424

135379416100 has 36 divisors (see below), whose sum is σ = 298158024304. Its totient is φ = 53343528480.

The previous prime is 135379416091. The next prime is 135379416101. The reversal of 135379416100 is 1614973531.

135379416100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135379416101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10096242 + ... + 10109641.

Almost surely, 2135379416100 is an apocalyptic number.

135379416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135379416100 is an abundant number, since it is smaller than the sum of its proper divisors (162778608204).

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

135379416100 is a wasteful number, since it uses less digits than its factorization.

135379416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20205964 (or 20205957 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 135379416100 in words is "one hundred thirty-five billion, three hundred seventy-nine million, four hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 6700 20205883 40411766 80823532 101029415 202058830 404117660 505147075 1010294150 1353794161 2020588300 2707588322 5415176644 6768970805 13537941610 27075883220 33844854025 67689708050 135379416100