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132013300420 = 22517974002829
BaseRepresentation
bin111101011110010011…
…0110001101011000100
3110121202020022111121001
41322330212301223010
54130330401103140
6140351315103044
712352261352611
oct1727446615304
9417666274531
10132013300420
1150a94080581
1221702ba1a84
13c5ab027a61
146564a27508
1536799a1e9a
hex1ebc9b1ac4

132013300420 has 48 divisors (see below), whose sum is σ = 296561669040. Its totient is φ = 49186750464.

The previous prime is 132013300361. The next prime is 132013300427. The reversal of 132013300420 is 24003310231.

It can be written as a sum of positive squares in 8 ways, for example, as 1009841284 + 131003459136 = 31778^2 + 361944^2 .

It is a super-2 number, since 2×1320133004202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132013300427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968435 + ... + 2034394.

It is an arithmetic number, because the mean of its divisors is an integer number (6178368105).

Almost surely, 2132013300420 is an apocalyptic number.

132013300420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013300420 is an abundant number, since it is smaller than the sum of its proper divisors (164548368620).

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

132013300420 is a wasteful number, since it uses less digits than its factorization.

132013300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002952 (or 4002950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 132013300420 its reverse (24003310231), we get a palindrome (156016610651).

The spelling of 132013300420 in words is "one hundred thirty-two billion, thirteen million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 4002829 8005658 16011316 20014145 40028290 68048093 80056580 136096186 272192372 340240465 388274413 680480930 776548826 1360961860 1553097652 1941372065 3882744130 6600665021 7765488260 13201330042 26402660084 33003325105 66006650210 132013300420