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1101142432 = 25131371392
BaseRepresentation
bin100000110100010…
…0001100110100000
32211201222211110001
41001220201212200
54223343024212
6301133145344
736200361535
oct10150414640
92751884401
101101142432
11515625675
1226892b254
13147190990
14a6358d8c
1566a0e657
hex41a219a0

1101142432 has 72 divisors (see below), whose sum is σ = 2368715076. Its totient is φ = 500880384.

The previous prime is 1101142403. The next prime is 1101142433. The reversal of 1101142432 is 2342411011.

It can be written as a sum of positive squares in 2 ways, for example, as 1076102416 + 25040016 = 32804^2 + 5004^2 .

It is not an unprimeable number, because it can be changed into a prime (1101142433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7921819 + ... + 7921957.

Almost surely, 21101142432 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 1101142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184357538).

1101142432 is an abundant number, since it is smaller than the sum of its proper divisors (1267572644).

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

1101142432 is a wasteful number, since it uses less digits than its factorization.

1101142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1101142432 is about 33183.4662445019. The cubic root of 1101142432 is about 1032.6373584276.

Adding to 1101142432 its reverse (2342411011), we get a palindrome (3443553443).

The spelling of 1101142432 in words is "one billion, one hundred one million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 139 208 274 278 416 548 556 1096 1112 1781 1807 2192 2224 3562 3614 4384 4448 7124 7228 14248 14456 19043 19321 28496 28912 38086 38642 56992 57824 76172 77284 152344 154568 247559 251173 304688 309136 495118 502346 609376 618272 990236 1004692 1980472 2009384 2646977 3960944 4018768 5293954 7921888 8037536 10587908 21175816 34410701 42351632 68821402 84703264 137642804 275285608 550571216 1101142432