Search a number
-
+
1101132432 = 2432173712157
BaseRepresentation
bin100000110100001…
…1111001010010000
32211201222022201200
41001220133022100
54223342214212
6301133031200
736200320431
oct10150371220
92751868650
101101132432
11515619104
12268925500
1314718926a
14a6355488
1566a0b6dc
hex41a1f290

1101132432 has 120 divisors (see below), whose sum is σ = 3351377016. Its totient is φ = 336089088.

The previous prime is 1101132427. The next prime is 1101132437. The reversal of 1101132432 is 2342311011.

1101132432 is a `hidden beast` number, since 1 + 101 + 132 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (1101132427) and next prime (1101132437).

It can be written as a sum of positive squares in 4 ways, for example, as 238887936 + 862244496 = 15456^2 + 29364^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1101132437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84498 + ... + 96654.

Almost surely, 21101132432 is an apocalyptic number.

1101132432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675688508).

1101132432 is an abundant number, since it is smaller than the sum of its proper divisors (2250244584).

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

1101132432 is a wasteful number, since it uses less digits than its factorization.

1101132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1101132432 is about 33183.3155667121. The cubic root of 1101132432 is about 1032.6342324606.

Adding to 1101132432 its reverse (2342311011), we get a palindrome (3443443443).

The spelling of 1101132432 in words is "one billion, one hundred one million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3774 5032 5328 5661 7548 10064 11322 12157 15096 22644 24314 30192 36471 45288 48628 72942 90576 97256 109413 145884 194512 206669 218826 291768 413338 437652 449809 583536 620007 826676 875304 899618 1240014 1349427 1653352 1750608 1799236 1860021 2480028 2698854 3306704 3598472 3720042 4048281 4960056 5397708 7196944 7440084 7646753 8096562 9920112 10795416 14880168 15293506 16193124 21590832 22940259 29760336 30587012 32386248 45880518 61174024 64772496 68820777 91761036 122348048 137641554 183522072 275283108 367044144 550566216 1101132432