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107214334096 = 2410927512
BaseRepresentation
bin110001111011001111…
…0001110100010010000
3101020201221200111010211
41203312132032202100
53224033332142341
6121130435133504
710513604542342
oct1436636164220
9336657614124
10107214334096
1141518773091
1218941a44294
13a15834b19c
145291251292
152bc7790181
hex18f678e890

107214334096 has 45 divisors (see below), whose sum is σ = 209930549913. Its totient is φ = 53044632000.

The previous prime is 107214334093. The next prime is 107214334099. The reversal of 107214334096 is 690433412701.

The square root of 107214334096 is 327436.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (107214334093) and next prime (107214334099).

It can be written as a sum of positive squares in only one way, i.e., 74727876496 + 32486457600 = 273364^2 + 180240^2 .

It is a super-2 number, since 2×1072143340962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107214334093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142761721 + ... + 142762471.

Almost surely, 2107214334096 is an apocalyptic number.

107214334096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107214334096 is the 327436-th square number.

It is an amenable number.

107214334096 is a deficient number, since it is larger than the sum of its proper divisors (102716215817).

107214334096 is an frugal number, since it uses more digits than its factorization.

107214334096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

Adding to 107214334096 its reverse (690433412701), we get a palindrome (797647746797).

The spelling of 107214334096 in words is "one hundred seven billion, two hundred fourteen million, three hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 109 218 436 751 872 1502 1744 3004 6008 11881 12016 23762 47524 81859 95048 163718 190096 327436 564001 654872 1128002 1309744 2256004 4512008 8922631 9024016 17845262 35690524 61476109 71381048 122952218 142762096 245904436 491808872 983617744 6700895881 13401791762 26803583524 53607167048 107214334096