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2002151431 = 77915123977
BaseRepresentation
bin111011101010110…
…0110100000000111
312011112101211102201
41313111212200013
513100022321211
6530401015331
7100421002120
oct16725464007
95145354381
102002151431
11938187005
1247a624547
1325ba4b6b7
1414dc99047
15bab8a0c1
hex77566807

2002151431 has 16 divisors (see below), whose sum is σ = 2332579840. Its totient is φ = 1683115200.

The previous prime is 2002151377. The next prime is 2002151441. The reversal of 2002151431 is 1341512002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002151431 is a prime.

It is a super-2 number, since 2×20021514312 = 8017220705310695522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002151399 and 2002151408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002151441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71515 + ... + 95491.

It is an arithmetic number, because the mean of its divisors is an integer number (145786240).

Almost surely, 22002151431 is an apocalyptic number.

2002151431 is a deficient number, since it is larger than the sum of its proper divisors (330428409).

2002151431 is a wasteful number, since it uses less digits than its factorization.

2002151431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24214.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2002151431 is about 44745.4068145547. The cubic root of 2002151431 is about 1260.3726601995.

Adding to 2002151431 its reverse (1341512002), we get a palindrome (3343663433).

The spelling of 2002151431 in words is "two billion, two million, one hundred fifty-one thousand, four hundred thirty-one".

Divisors: 1 7 79 151 553 1057 11929 23977 83503 167839 1894183 3620527 13259281 25343689 286021633 2002151431