Search a number
-
+
1020012432152 = 23722989726639
BaseRepresentation
bin11101101011111010111…
…10101000101100011000
310121111211102100022102212
432311331132220230120
5113202441140312102
62100330502214252
7133456600422200
oct16657536505430
93544742308385
101020012432152
1136364847641a
12145828124388
137525740707c
1437524247400
151b7ed63ac52
hexed7d7a8b18

1020012432152 has 48 divisors (see below), whose sum is σ = 2301488316000. Its totient is φ = 422074105152.

The previous prime is 1020012432137. The next prime is 1020012432157. The reversal of 1020012432152 is 2512342100201.

It is a super-2 number, since 2×10200124321522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020012432157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44851952 + ... + 44874687.

It is an arithmetic number, because the mean of its divisors is an integer number (47947673250).

Almost surely, 21020012432152 is an apocalyptic number.

It is an amenable number.

1020012432152 is an abundant number, since it is smaller than the sum of its proper divisors (1281475883848).

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

1020012432152 is a wasteful number, since it uses less digits than its factorization.

1020012432152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89726688 (or 89726677 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 1020012432152 its reverse (2512342100201), we get a palindrome (3532354532353).

The spelling of 1020012432152 in words is "one trillion, twenty billion, twelve million, four hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 5684 11368 89726639 179453278 358906556 628086473 717813112 1256172946 2512345892 2602072531 4396605311 5024691784 5204145062 8793210622 10408290124 17586421244 18214507717 20816580248 35172842488 36429015434 72858030868 127501554019 145716061736 255003108038 510006216076 1020012432152