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10252214213501 = 132419215367247
BaseRepresentation
bin1001010100110000011110…
…0101100001101101111101
31100022002202102202210212002
42111030013211201231331
52320433013314313001
633445445134552045
72105461265652101
oct225140745415575
940262672683762
1010252214213501
1132a2a37715687
121196b45968625
13594a19b84400
142762d1a3b901
1512ba3c33546b
hex95307961b7d

10252214213501 has 24 divisors (see below), whose sum is σ = 11133339477120. Its totient is φ = 9436470865536.

The previous prime is 10252214213489. The next prime is 10252214213513. The reversal of 10252214213501 is 10531241225201.

It is an interprime number because it is at equal distance from previous prime (10252214213489) and next prime (10252214213513).

It is a de Polignac number, because none of the positive numbers 2k-10252214213501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252214213551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152422460 + ... + 152489706.

It is an arithmetic number, because the mean of its divisors is an integer number (463889144880).

Almost surely, 210252214213501 is an apocalyptic number.

It is an amenable number.

10252214213501 is a deficient number, since it is larger than the sum of its proper divisors (881125263619).

10252214213501 is a wasteful number, since it uses less digits than its factorization.

10252214213501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69845 (or 69832 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 10252214213501 its reverse (10531241225201), we get a palindrome (20783455438702).

The spelling of 10252214213501 in words is "ten trillion, two hundred fifty-two billion, two hundred fourteen million, two hundred thirteen thousand, five hundred one".

Divisors: 1 13 169 419 2153 5447 27989 67247 70811 363857 874211 902107 11364743 11727391 28176493 144782791 152456083 366294409 1882176283 4761827317 24468291679 60663989429 788631862577 10252214213501