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2131200432 = 243261331733
BaseRepresentation
bin111111100000111…
…1000100110110000
312111112020012101100
41333001320212300
513331041403212
6551251004400
7103545622224
oct17701704660
95445205340
102131200432
119a4009479
124b5899700
1327c6c335a
1416308c784
15c717bbdc
hex7f0789b0

2131200432 has 120 divisors (see below), whose sum is σ = 6088788368. Its totient is φ = 695692800.

The previous prime is 2131200367. The next prime is 2131200457. The reversal of 2131200432 is 2340021312.

2131200432 is a `hidden beast` number, since 2 + 1 + 31 + 200 + 432 = 666.

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, 2907138 + ... + 2907870.

Almost surely, 22131200432 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 2131200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044394184).

2131200432 is an abundant number, since it is smaller than the sum of its proper divisors (3957587936).

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

2131200432 is a wasteful number, since it uses less digits than its factorization.

2131200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2131200432 is about 46164.9264268882. The cubic root of 2131200432 is about 1286.8900169180.

Adding to 2131200432 its reverse (2340021312), we get a palindrome (4471221744).

The spelling of 2131200432 in words is "two billion, one hundred thirty-one million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 331 366 488 549 662 732 733 976 993 1098 1324 1464 1466 1986 2196 2199 2648 2928 2932 2979 3972 4392 4398 5296 5864 5958 6597 7944 8784 8796 11728 11916 13194 15888 17592 20191 23832 26388 35184 40382 44713 47664 52776 60573 80764 89426 105552 121146 134139 161528 178852 181719 242292 242623 268278 323056 357704 363438 402417 484584 485246 536556 715408 726876 727869 804834 969168 970492 1073112 1453752 1455738 1609668 1940984 2146224 2183607 2907504 2911476 3219336 3881968 4367214 5822952 6438672 8734428 11645904 14800003 17468856 29600006 34937712 44400009 59200012 88800018 118400024 133200027 177600036 236800048 266400054 355200072 532800108 710400144 1065600216 2131200432