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34130010300320 = 2551119392051307
BaseRepresentation
bin1111100001010100000110…
…01000111101111110100000
311110211210112002201000102102
413300222003020331332200
513433141230114102240
6200331035453105532
710121545320616634
oct760520310757640
9143753462630372
1034130010300320
11a969502057610
1239b275b4882a8
1316075a52a796c
1485dc892b6dc4
153e2bee97e815
hex1f0a8323dfa0

34130010300320 has 48 divisors (see below), whose sum is σ = 87962344733088. Its totient is φ = 12410912835840.

The previous prime is 34130010300313. The next prime is 34130010300409. The reversal of 34130010300320 is 2300301003143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34130010300292 and 34130010300301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9696023894 + ... + 9696027413.

It is an arithmetic number, because the mean of its divisors is an integer number (1832548848606).

Almost surely, 234130010300320 is an apocalyptic number.

It is an amenable number.

34130010300320 is an abundant number, since it is smaller than the sum of its proper divisors (53832334432768).

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

34130010300320 is a wasteful number, since it uses less digits than its factorization.

34130010300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392051333 (or 19392051325 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 34130010300320 its reverse (2300301003143), we get a palindrome (36430311303463).

The spelling of 34130010300320 in words is "thirty-four trillion, one hundred thirty billion, ten million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 19392051307 38784102614 77568205228 96960256535 155136410456 193920513070 213312564377 310272820912 387841026140 426625128754 620545641824 775682052280 853250257508 1066562821885 1551364104560 1706500515016 2133125643770 3102728209120 3413001030032 4266251287540 6826002060064 8532502575080 17065005150160 34130010300320