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103214034112 = 2671391998329
BaseRepresentation
bin110000000100000001…
…0010010110011000000
3100212102011102012012011
41200020002102303000
53142340243042422
6115225454542304
710312511546230
oct1401002226300
9325364365164
10103214034112
113a8556a4542
1218006207994
13996b653087
144dd1c5dcc0
152a414ab077
hex1808092cc0

103214034112 has 112 divisors (see below), whose sum is σ = 236971840000. Its totient is φ = 43690420224.

The previous prime is 103214034109. The next prime is 103214034179. The reversal of 103214034112 is 211430412301.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12387964 + ... + 12396292.

It is an arithmetic number, because the mean of its divisors is an integer number (2115820000).

Almost surely, 2103214034112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103214034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118485920000).

103214034112 is an abundant number, since it is smaller than the sum of its proper divisors (133757805888).

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

103214034112 is a wasteful number, since it uses less digits than its factorization.

103214034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103214034112 its reverse (211430412301), we get a palindrome (314644446413).

The spelling of 103214034112 in words is "one hundred three billion, two hundred fourteen million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 199 224 278 398 448 556 796 973 1112 1393 1592 1946 2224 2786 3184 3892 4448 5572 6368 7784 8329 8896 11144 12736 15568 16658 22288 27661 31136 33316 44576 55322 58303 62272 66632 89152 110644 116606 133264 193627 221288 233212 266528 387254 442576 466424 533056 774508 885152 932848 1157731 1549016 1657471 1770304 1865696 2315462 3098032 3314942 3731392 4630924 6196064 6629884 8104117 9261848 11602297 12392128 13259768 16208234 18523696 23204594 26519536 32416468 37047392 46409188 53039072 64832936 74094784 92818376 106078144 129665872 185636752 230388469 259331744 371273504 460776938 518663488 742547008 921553876 1612719283 1843107752 3225438566 3686215504 6450877132 7372431008 12901754264 14744862016 25803508528 51607017056 103214034112