Search a number
-
+
1201311021132 = 2232375915286189
BaseRepresentation
bin10001011110110011101…
…101110111100001001100
311020211210102121212212200
4101132303231313201030
5124140241110134012
62315512532201500
7152535415125045
oct21366355674114
94224712555780
101201311021132
11423522831732
121749a4769290
138938b0b1261
14422026b78cc
15213aed563dc
hex117b3b7784c

1201311021132 has 72 divisors (see below), whose sum is σ = 3171578701200. Its totient is φ = 383010726528.

The previous prime is 1201311021089. The next prime is 1201311021151. The reversal of 1201311021132 is 2311201131021.

1201311021132 is a `hidden beast` number, since 1 + 201 + 311 + 0 + 21 + 132 = 666.

It is a super-2 number, since 2×12013110211322 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7564507 + ... + 7721682.

Almost surely, 21201311021132 is an apocalyptic number.

1201311021132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1201311021132 is an abundant number, since it is smaller than the sum of its proper divisors (1970267680068).

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

1201311021132 is a wasteful number, since it uses less digits than its factorization.

1201311021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15286295 (or 15286290 counting only the distinct ones).

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

Adding to 1201311021132 its reverse (2311201131021), we get a palindrome (3512512152153).

The spelling of 1201311021132 in words is "one trillion, two hundred one billion, three hundred eleven million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 333 354 444 531 666 708 1062 1332 2124 2183 4366 6549 8732 13098 19647 26196 39294 78588 15286189 30572378 45858567 61144756 91717134 137575701 183434268 275151402 550302804 565588993 901885151 1131177986 1696766979 1803770302 2262355972 2705655453 3393533958 3607540604 5090300937 5411310906 6787067916 8116966359 10180601874 10822621812 16233932718 20361203748 32467865436 33369750587 66739501174 100109251761 133479002348 200218503522 300327755283 400437007044 600655510566 1201311021132