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1431321100 = 2252112294079
BaseRepresentation
bin101010101010000…
…0011101000001100
310200202021122102121
41111110003220030
510412404233400
6354010102324
750320012546
oct12524035014
93622248377
101431321100
11674a41800
1233b41a9a4
1319a6c6b81
14d8146696
15859d021a
hex55503a0c

1431321100 has 108 divisors (see below), whose sum is σ = 3532586400. Its totient is φ = 502409600.

The previous prime is 1431321079. The next prime is 1431321109. The reversal of 1431321100 is 11231341.

It is not an unprimeable number, because it can be changed into a prime (1431321109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348861 + ... + 352939.

Almost surely, 21431321100 is an apocalyptic number.

1431321100 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 1431321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766293200).

1431321100 is an abundant number, since it is smaller than the sum of its proper divisors (2101265300).

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

1431321100 is a wasteful number, since it uses less digits than its factorization.

1431321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1431321100 is about 37832.8045484339. The cubic root of 1431321100 is about 1126.9700067102.

Adding to 1431321100 its reverse (11231341), we get a palindrome (1442552441).

The spelling of 1431321100 in words is "one billion, four hundred thirty-one million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 145 220 242 275 290 319 484 550 580 605 638 725 1100 1210 1276 1450 1595 2420 2900 3025 3190 3509 4079 6050 6380 7018 7975 8158 12100 14036 15950 16316 17545 20395 31900 35090 40790 44869 70180 81580 87725 89738 101975 118291 175450 179476 203950 224345 236582 350900 407900 448690 473164 493559 591455 897380 987118 1121725 1182910 1301201 1974236 2243450 2365820 2467795 2602402 2957275 4486900 4935590 5204804 5914550 6506005 9871180 11829100 12338975 13012010 14313211 24677950 26024020 28626422 32530025 49355900 57252844 65060050 71566055 130120100 143132110 286264220 357830275 715660550 1431321100