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10101352525425 = 3252783113683821
BaseRepresentation
bin1001001011111110011110…
…0001110110111001110001
31022202200100121220000011100
42102333213201312321301
52311000032221303200
633252255225235013
72061540634526520
oct222774741667161
938680317800140
1010101352525425
113244a61182527
121171862632a69
13583726c33965
1426cc9da644b7
15127b5cc95d00
hex92fe7876e71

10101352525425 has 144 divisors (see below), whose sum is σ = 21111653017728. Its totient is φ = 4521746073600.

The previous prime is 10101352525403. The next prime is 10101352525427. The reversal of 10101352525425 is 52452525310101.

10101352525425 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 13 + 52 + 52 + 542 + 5 = 666.

It is not a de Polignac number, because 10101352525425 - 28 = 10101352525169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101352525425.

It is not an unprimeable number, because it can be changed into a prime (10101352525427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14430015 + ... + 15113835.

It is an arithmetic number, because the mean of its divisors is an integer number (146608701512).

Almost surely, 210101352525425 is an apocalyptic number.

10101352525425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10101352525425 is an abundant number, since it is smaller than the sum of its proper divisors (11010300492303).

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

10101352525425 is a wasteful number, since it uses less digits than its factorization.

10101352525425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684040 (or 684032 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 10101352525425 its reverse (52452525310101), we get a palindrome (62553877835526).

The spelling of 10101352525425 in words is "ten trillion, one hundred one billion, three hundred fifty-two million, five hundred twenty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 83 105 113 175 225 249 315 339 415 525 565 581 747 791 1017 1245 1575 1695 1743 2075 2373 2825 2905 3735 3955 5085 5229 6225 7119 8475 8715 9379 11865 14525 18675 19775 25425 26145 28137 35595 43575 46895 59325 65653 84411 130725 140685 177975 196959 234475 328265 422055 590877 683821 703425 984795 1641325 2051463 2110275 2954385 3419105 4786747 4923975 6154389 10257315 14360241 14771925 17095525 23933735 30771945 43080723 51286575 56757143 71801205 77271773 119668675 153859725 170271429 215403615 231815319 283785715 359006025 386358865 397300001 510814287 540902411 695445957 851357145 1077018075 1159076595 1191900003 1418928575 1622707233 1931794325 1986500005 2554071435 2704512055 3477229785 3575700009 4256785725 4868121699 5795382975 5959500015 6413557159 8113536165 9932500025 12770357175 13522560275 17386148925 17878500045 19240671477 24340608495 29797500075 32067785795 40567680825 44894900113 57722014431 89392500225 96203357385 121703042475 134684700339 160338928975 224474500565 288610072155 404054101017 481016786925 673423501695 1122372502825 1443050360775 2020270505085 3367117508475 10101352525425