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34103131010 = 25131743358867
BaseRepresentation
bin11111110000101101…
…000111101110000010
310021000201001112222022
4133300231013232002
51024320400143020
623400004241442
72315051554634
oct376055075602
9107021045868
1034103131010
11135103680a3
1267390a0282
1332a6485480
141917366a54
15d48e71625
hex7f0b47b82

34103131010 has 64 divisors (see below), whose sum is σ = 71624310912. Its totient is φ = 11575581696.

The previous prime is 34103131009. The next prime is 34103131033. The reversal of 34103131010 is 1013130143.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34103131010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84404 + ... + 274463.

It is an arithmetic number, because the mean of its divisors is an integer number (1119129858).

Almost surely, 234103131010 is an apocalyptic number.

34103131010 is an abundant number, since it is smaller than the sum of its proper divisors (37521179902).

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

34103131010 is a wasteful number, since it uses less digits than its factorization.

34103131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358947.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 34103131010 its reverse (1013130143), we get a palindrome (35116261153).

The spelling of 34103131010 in words is "thirty-four billion, one hundred three million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 43 65 85 86 130 170 215 221 430 442 559 731 1105 1118 1462 2210 2795 3655 5590 7310 9503 19006 47515 95030 358867 717734 1794335 3588670 4665271 6100739 9330542 12201478 15431281 23326355 30503695 30862562 46652710 61007390 77156405 79309607 154312810 158619214 200606653 262331777 396548035 401213306 524663554 793096070 1003033265 1311658885 2006066530 2623317770 3410313101 6820626202 17051565505 34103131010