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132412211204 = 2271313919913151
BaseRepresentation
bin111101101010001100…
…0100000000000000100
3110122210000221021022112
41323110120200000010
54132140011224304
6140455045120152
712365204140040
oct1732430400004
9418700837275
10132412211204
1151179272109
12217b46b9058
13c642877640
1465a19c7020
15369e9ecb6e
hex1ed4620004

132412211204 has 96 divisors (see below), whose sum is σ = 288712704000. Its totient is φ = 51740726400.

The previous prime is 132412211201. The next prime is 132412211209. The reversal of 132412211204 is 402112214231.

It is a self number, because there is not a number n which added to its sum of digits gives 132412211204.

It is not an unprimeable number, because it can be changed into a prime (132412211201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10062029 + ... + 10075179.

It is an arithmetic number, because the mean of its divisors is an integer number (3007424000).

Almost surely, 2132412211204 is an apocalyptic number.

132412211204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132412211204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144356352000).

132412211204 is an abundant number, since it is smaller than the sum of its proper divisors (156300492796).

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

132412211204 is a wasteful number, since it uses less digits than its factorization.

132412211204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13513 (or 13511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 132412211204 its reverse (402112214231), we get a palindrome (534524425435).

The spelling of 132412211204 in words is "one hundred thirty-two billion, four hundred twelve million, two hundred eleven thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 139 182 199 278 364 398 556 796 973 1393 1807 1946 2587 2786 3614 3892 5174 5572 7228 10348 12649 13151 18109 25298 26302 27661 36218 50596 52604 55322 72436 92057 110644 170963 184114 193627 341926 359593 368228 387254 683852 719186 774508 1196741 1438372 1827989 2393482 2517151 2617049 3655978 4786964 5034302 5234098 7311956 10068604 10468196 12795923 18319343 23763857 25591846 34021637 36638686 47527714 51183692 68043274 73277372 95055428 136086548 166346999 238151459 332693998 363769811 476302918 665387996 727539622 952605836 1455079244 2546388677 4729007543 5092777354 9458015086 10185554708 18916030172 33103052801 66206105602 132412211204