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1431132102 = 232376135227
BaseRepresentation
bin101010101001101…
…0101011111000110
310200201221001011200
41111103111133012
510412332211402
6354002043330
750315264541
oct12523253706
93621831150
101431132102
11674922804
1233b349546
1319a65bb3a
14d80d7858
158599421c
hex554d57c6

1431132102 has 48 divisors (see below), whose sum is σ = 3236889552. Its totient is φ = 456528960.

The previous prime is 1431132061. The next prime is 1431132103. The reversal of 1431132102 is 2012311341.

1431132102 is a `hidden beast` number, since 1 + 431 + 132 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23013 + ... + 58239.

It is an arithmetic number, because the mean of its divisors is an integer number (67435199).

Almost surely, 21431132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618444776).

1431132102 is an abundant number, since it is smaller than the sum of its proper divisors (1805757450).

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

1431132102 is a wasteful number, since it uses less digits than its factorization.

1431132102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35333 (or 35330 counting only the distinct ones).

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

The square root of 1431132102 is about 37830.3066601369. The cubic root of 1431132102 is about 1126.9204011505.

Adding to 1431132102 its reverse (2012311341), we get a palindrome (3443443443).

The spelling of 1431132102 in words is "one billion, four hundred thirty-one million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 1098 2257 4514 6771 13542 20313 35227 40626 70454 105681 211362 317043 634086 1303399 2148847 2606798 3910197 4297694 6446541 7820394 11730591 12893082 19339623 23461182 38679246 79507339 159014678 238522017 477044034 715566051 1431132102