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355004144131 = 71335381110261
BaseRepresentation
bin1010010101001111110…
…01010101101000000011
31020221022211221001121111
411022213321111220003
521304022030103011
6431030414504151
734435222302520
oct5124771255003
91227284831544
10355004144131
1112761364795a
1258976205057
132762754b560
141327a2d2147
15937b528121
hex52a7e55a03

355004144131 has 16 divisors (see below), whose sum is σ = 436944489408. Its totient is φ = 280871913600.

The previous prime is 355004144123. The next prime is 355004144213. The reversal of 355004144131 is 131441400553.

It is a cyclic number.

It is not a de Polignac number, because 355004144131 - 23 = 355004144123 is a prime.

It is a super-2 number, since 2×3550041441312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355004144093 and 355004144102.

It is not an unprimeable number, because it can be changed into a prime (355004114131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3164541 + ... + 3274801.

It is an arithmetic number, because the mean of its divisors is an integer number (27309030588).

Almost surely, 2355004144131 is an apocalyptic number.

355004144131 is a deficient number, since it is larger than the sum of its proper divisors (81940345277).

355004144131 is a wasteful number, since it uses less digits than its factorization.

355004144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145662.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 355004144131 its reverse (131441400553), we get a palindrome (486445544684).

The spelling of 355004144131 in words is "three hundred fifty-five billion, four million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 7 13 91 35381 110261 247667 459953 771827 1433393 3219671 10033751 3901144441 27308011087 50714877733 355004144131