Search a number
-
+
132012211301010 = 23253739643306697
BaseRepresentation
bin11110000001000001111100…
…111101011110101010010010
3122022102020120222120111120200
4132001001330331132222102
5114300342002043113020
61144433323405320030
736543365442436305
oct3601017475365222
9568366528514520
10132012211301010
1139077078801217
1212980a26566016
13588790c994151
1424855d4750b3c
15103de19634590
hex78107cf5ea92

132012211301010 has 48 divisors (see below), whose sum is σ = 352508283158616. Its totient is φ = 34251816985344.

The previous prime is 132012211300987. The next prime is 132012211301021. The reversal of 132012211301010 is 10103112210231.

132012211301010 is a `hidden beast` number, since 1 + 320 + 1 + 2 + 211 + 30 + 101 + 0 = 666.

132012211301010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 130732079718969 + 1280131582041 = 11433813^2 + 1131429^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19821650019 + ... + 19821656678.

Almost surely, 2132012211301010 is an apocalyptic number.

132012211301010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132012211301010 is an abundant number, since it is smaller than the sum of its proper divisors (220496071857606).

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

132012211301010 is a wasteful number, since it uses less digits than its factorization.

132012211301010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39643306747 (or 39643306744 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132012211301010 its reverse (10103112210231), we get a palindrome (142115323511241).

The spelling of 132012211301010 in words is "one hundred thirty-two trillion, twelve billion, two hundred eleven million, three hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 39643306697 79286613394 118929920091 198216533485 237859840182 356789760273 396433066970 594649600455 713579520546 1189299200910 1466802347789 1783948801365 2933604695578 3567897602730 4400407043367 7334011738945 8800814086734 13201221130101 14668023477890 22002035216835 26402442260202 44004070433670 66006105650505 132012211301010