Search a number
-
+
132150611516100 = 223521725911884611
BaseRepresentation
bin11110000011000010110110…
…010000011001101011000100
3122022220110211022222212222220
4132003002312100121223010
5114310123423022003400
61145021053002252340
736556365230032542
oct3603026620315304
9568813738885886
10132150611516100
113911a83a050271
12129a38104b70b0
135897997c97248
14248c1a3702d92
151042819b9a7a0
hex7830b6419ac4

132150611516100 has 72 divisors (see below), whose sum is σ = 404847285177888. Its totient is φ = 33167212300800.

The previous prime is 132150611516081. The next prime is 132150611516101. The reversal of 132150611516100 is 1615116051231.

It is not an unprimeable number, because it can be changed into a prime (132150611516101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12955937206 + ... + 12955947405.

It is an arithmetic number, because the mean of its divisors is an integer number (5622878960804).

Almost surely, 2132150611516100 is an apocalyptic number.

132150611516100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132150611516100 is an abundant number, since it is smaller than the sum of its proper divisors (272696673661788).

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

132150611516100 is a wasteful number, since it uses less digits than its factorization.

132150611516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25911884645 (or 25911884638 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

Adding to 132150611516100 its reverse (1615116051231), we get a palindrome (133765727567331).

The spelling of 132150611516100 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred eleven million, five hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 25911884611 51823769222 77735653833 103647538444 129559423055 155471307666 259118846110 310942615332 388678269165 440502038387 518237692220 647797115275 777356538330 881004076774 1295594230550 1321506115161 1554713076660 1762008153548 1943391345825 2202510191935 2591188461100 2643012230322 3886782691650 4405020383870 5286024460644 6607530575805 7773565383300 8810040767740 11012550959675 13215061151610 22025101919350 26430122303220 33037652879025 44050203838700 66075305758050 132150611516100