Search a number
-
+
2032131021232 = 2413171291445157
BaseRepresentation
bin11101100100100100011…
…100101001100110110000
321012021021201000211220111
4131210210130221212300
5231243301020134412
64153314220151104
7266550046451554
oct35444434514660
97167251024814
102032131021232
11713904a90694
12289a10698494
13119824289080
14704d9d3b864
1537cd8c4a2a7
hex1d9247299b0

2032131021232 has 80 divisors (see below), whose sum is σ = 4493025990432. Its totient is φ = 882049904640.

The previous prime is 2032131021199. The next prime is 2032131021241. The reversal of 2032131021232 is 2321201312302.

It is a super-2 number, since 2×20321310212322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4342398 + ... + 4787554.

Almost surely, 22032131021232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032131021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246512995216).

2032131021232 is an abundant number, since it is smaller than the sum of its proper divisors (2460894969200).

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

2032131021232 is a wasteful number, since it uses less digits than its factorization.

2032131021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446486 (or 446480 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2032131021232 its reverse (2321201312302), we get a palindrome (4353332333534).

The spelling of 2032131021232 in words is "two trillion, thirty-two billion, one hundred thirty-one million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1291 1768 2582 3536 5164 10328 16783 20656 21947 33566 43894 67132 87788 134264 175576 268528 285311 351152 445157 570622 890314 1141244 1780628 2282488 3561256 4564976 5787041 7122512 7567669 11574082 15135338 23148164 30270676 46296328 60541352 92592656 98379697 121082704 196759394 393518788 574697687 787037576 1149395374 1574075152 2298790748 4597581496 7471069931 9195162992 9769860679 14942139862 19539721358 29884279724 39079442716 59768559448 78158885432 119537118896 127008188827 156317770864 254016377654 508032755308 1016065510616 2032131021232