Search a number
-
+
1232141100 = 223527157847
BaseRepresentation
bin100100101110000…
…1111101100101100
310011212111020211120
41021130033230230
510010412003400
6322133020540
742351012051
oct11134175454
93155436746
101232141100
11582569933
122a4784750
13168368b98
14b98d9028
1573288ca0
hex4970fb2c

1232141100 has 72 divisors (see below), whose sum is σ = 3615268608. Its totient is φ = 323937600.

The previous prime is 1232141081. The next prime is 1232141101. The reversal of 1232141100 is 11412321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1232141100.

It is not an unprimeable number, because it can be changed into a prime (1232141101) 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, 7624 + ... + 50223.

It is an arithmetic number, because the mean of its divisors is an integer number (50212064).

Almost surely, 21232141100 is an apocalyptic number.

1232141100 is a gapful number since it is divisible by the number (10) 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 1232141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807634304).

1232141100 is an abundant number, since it is smaller than the sum of its proper divisors (2383127508).

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

1232141100 is a wasteful number, since it uses less digits than its factorization.

1232141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57935 (or 57928 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1232141100 is about 35101.8674716887. The cubic root of 1232141100 is about 1072.0626065667.

Adding to 1232141100 its reverse (11412321), we get a palindrome (1243553421).

The spelling of 1232141100 in words is "one billion, two hundred thirty-two million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 57847 115694 173541 231388 289235 347082 578470 694164 867705 1156940 1446175 1735410 2892350 3470820 4107137 4338525 5784700 8214274 8677050 12321411 16428548 17354100 20535685 24642822 41071370 49285644 61607055 82142740 102678425 123214110 205356850 246428220 308035275 410713700 616070550 1232141100