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2151431304 = 2331123720023
BaseRepresentation
bin1000000000111100…
…0011110010001000
312112221022000220220
42000033003302020
513401231300204
6553252350040
7104212602321
oct20017036210
95487260826
102151431304
11a04477200
12500615320
13283957899
14165a37448
15c8d261d9
hex803c3c88

2151431304 has 96 divisors (see below), whose sum is σ = 6072077760. Its totient is φ = 634296960.

The previous prime is 2151431299. The next prime is 2151431309. The reversal of 2151431304 is 4031341512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2151431299) and next prime (2151431309).

It is a super-2 number, since 2×21514313042 = 9257313311662280832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2151431309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97437 + ... + 117459.

It is an arithmetic number, because the mean of its divisors is an integer number (63250810).

Almost surely, 22151431304 is an apocalyptic number.

2151431304 is a gapful number since it is divisible by the number (24) 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 2151431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036038880).

2151431304 is an abundant number, since it is smaller than the sum of its proper divisors (3920646456).

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

2151431304 is a wasteful number, since it uses less digits than its factorization.

2151431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20091 (or 20076 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2151431304 is about 46383.5240575789. The cubic root of 2151431304 is about 1290.9492250397.

Adding to 2151431304 its reverse (4031341512), we get a palindrome (6182772816).

The spelling of 2151431304 in words is "two billion, one hundred fifty-one million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 8954 9768 13431 17908 20023 26862 35816 40046 53724 60069 80092 107448 120138 160184 220253 240276 440506 480552 660759 740851 881012 1321518 1481702 1762024 2222553 2422783 2643036 2963404 4445106 4845566 5286072 5926808 7268349 8149361 8890212 9691132 14536698 16298722 17780424 19382264 24448083 29073396 32597444 48896166 58146792 65194888 89642971 97792332 179285942 195584664 268928913 358571884 537857826 717143768 1075715652 2151431304