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231200002232031 = 3773541278771527
BaseRepresentation
bin110100100100011001110010…
…000000010100111011011111
31010022121111121200020022210210
4310210121302000110323133
5220300440101032411111
62135415451553103503
766461435404464330
oct6444316200247337
91108544550208723
10231200002232031
1167738408985448
1221b20138b57b93
139c010b35b7a51
1441141d591a287
151bae098d450a6
hexd24672014edf

231200002232031 has 32 divisors (see below), whose sum is σ = 357790990240768. Its totient is φ = 130063643170560.

The previous prime is 231200002231949. The next prime is 231200002232051. The reversal of 231200002232031 is 130232200002132.

It is a happy number.

It is not a de Polignac number, because 231200002232031 - 221 = 231200000134879 is a prime.

It is a super-2 number, since 2×2312000022320312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 231200002231989 and 231200002232007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231200002232051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138556411 + ... + 140215116.

It is an arithmetic number, because the mean of its divisors is an integer number (11180968445024).

Almost surely, 2231200002232031 is an apocalyptic number.

231200002232031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231200002232031 is a deficient number, since it is larger than the sum of its proper divisors (126590988008737).

231200002232031 is a wasteful number, since it uses less digits than its factorization.

231200002232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278772151.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 231200002232031 its reverse (130232200002132), we get a palindrome (361432202234163).

The spelling of 231200002232031 in words is "two hundred thirty-one trillion, two hundred billion, two million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 21 73 219 511 541 1533 1623 3787 11361 39493 118479 276451 829353 278771527 836314581 1951400689 5854202067 20350321471 61050964413 142452250297 150815396107 427356750891 452446188321 1055707772749 3167123318247 11009523915811 33028571747433 77066667410677 231200002232031