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132201013128 = 23317223828701
BaseRepresentation
bin111101100011111001…
…0110101111110001000
3110122020022112022000120
41323013302311332020
54131221424410003
6140422102303240
712360031033152
oct1730762657610
9418208468016
10132201013128
1151080030948
1221755a27b20
13c60ab9c372
14658192bad2
15368b1d0853
hex1ec7cb5f88

132201013128 has 96 divisors (see below), whose sum is σ = 366352580160. Its totient is φ = 39671526400.

The previous prime is 132201013127. The next prime is 132201013129. The reversal of 132201013128 is 821310102231.

It is an interprime number because it is at equal distance from previous prime (132201013127) and next prime (132201013129).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132201013098 and 132201013107.

It is not an unprimeable number, because it can be changed into a prime (132201013123) 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, 254823 + ... + 573878.

It is an arithmetic number, because the mean of its divisors is an integer number (3816172710).

Almost surely, 2132201013128 is an apocalyptic number.

It is an amenable number.

132201013128 is an abundant number, since it is smaller than the sum of its proper divisors (234151567032).

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

132201013128 is a wasteful number, since it uses less digits than its factorization.

132201013128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828767 (or 828746 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 132201013128 its reverse (821310102231), we get a palindrome (953511115359).

The spelling of 132201013128 in words is "one hundred thirty-two billion, two hundred one million, thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 289 391 408 552 578 782 867 1156 1173 1564 1734 2312 2346 3128 3468 4692 6647 6936 9384 13294 19941 26588 39882 53176 79764 159528 828701 1657402 2486103 3314804 4972206 6629608 9944412 14087917 19060123 19888824 28175834 38120246 42263751 56351668 57180369 76240492 84527502 112703336 114360738 152480984 169055004 228721476 239494589 324022091 338110008 457442952 478989178 648044182 718483767 957978356 972066273 1296088364 1436967534 1915956712 1944132546 2592176728 2873935068 3888265092 5508375547 5747870136 7776530184 11016751094 16525126641 22033502188 33050253282 44067004376 66100506564 132201013128