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102077760661265 = 5172917411695177
BaseRepresentation
bin10111001101011011010100…
…101010011110011100010001
3111101102112112122120021000002
4113031123110222132130101
5101334420223212130030
61001033513104335345
730333606032310464
oct2715332452363421
9441375478507002
10102077760661265
112a585a31805774
12b54742b614555
1344c5b788b8bcc
141b2c838c7d2db
15bc042437d245
hex5cd6d4a9e711

102077760661265 has 16 divisors (see below), whose sum is σ = 129743265175632. Its totient is φ = 76832200525824.

The previous prime is 102077760661187. The next prime is 102077760661297. The reversal of 102077760661265 is 562166067770201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35029683913744 + 67048076747521 = 5918588^2 + 8188289^2 .

It is a cyclic number.

It is not a de Polignac number, because 102077760661265 - 240 = 100978249033489 is a prime.

It is a Duffinian number.

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 102077760661265.

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, 205599644 + ... + 206095533.

It is an arithmetic number, because the mean of its divisors is an integer number (8108954073477).

Almost surely, 2102077760661265 is an apocalyptic number.

It is an amenable number.

102077760661265 is a deficient number, since it is larger than the sum of its proper divisors (27665504514367).

102077760661265 is a wasteful number, since it uses less digits than its factorization.

102077760661265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411698116.

The product of its (nonzero) digits is 8890560, while the sum is 56.

The spelling of 102077760661265 in words is "one hundred two trillion, seventy-seven billion, seven hundred sixty million, six hundred sixty-one thousand, two hundred sixty-five".

Divisors: 1 5 17 85 2917 14585 49589 247945 411695177 2058475885 6998818009 34994090045 1200914831309 6004574156545 20415552132253 102077760661265