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10002210315273 = 3311412775129599
BaseRepresentation
bin1001000110001101001000…
…1100010101110000001001
31022102012110020022220101000
42101203102030111300021
52302334011320042043
633134541343445213
72051431044615201
oct221432214256011
938365406286330
1010002210315273
113206a05a69660
1211565b3bb6809
1357728705c097
142681768d3401
151252a8eeb2d3
hex918d2315c09

10002210315273 has 64 divisors (see below), whose sum is σ = 16560617472000. Its totient is φ = 5913680400000.

The previous prime is 10002210315263. The next prime is 10002210315299. The reversal of 10002210315273 is 37251301220001.

10002210315273 is a `hidden beast` number, since 10 + 0 + 0 + 22 + 103 + 1 + 527 + 3 = 666.

It is not a de Polignac number, because 10002210315273 - 222 = 10002206120969 is a prime.

It is a super-2 number, since 2×100022103152732 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10002210315263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337909128 + ... + 337938726.

It is an arithmetic number, because the mean of its divisors is an integer number (258759648000).

Almost surely, 210002210315273 is an apocalyptic number.

It is an amenable number.

10002210315273 is a deficient number, since it is larger than the sum of its proper divisors (6558407156727).

10002210315273 is a wasteful number, since it uses less digits than its factorization.

10002210315273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57411 (or 57405 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10002210315273 its reverse (37251301220001), we get a palindrome (47253511535274).

The spelling of 10002210315273 in words is "ten trillion, two billion, two hundred ten million, three hundred fifteen thousand, two hundred seventy-three".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 27751 29599 83253 88797 249759 266391 305261 325589 749277 799173 915783 976767 1137791 1213559 2747349 2930301 3413373 3640677 8242047 8790903 10240119 10922031 12515701 13349149 30720357 32766093 37547103 40047447 112641309 120142341 337923927 360427023 821401849 2464205547 7392616641 9035420339 22177849923 27106261017 33677475809 81318783051 101032427427 243956349153 303097282281 370452233899 909291846843 1111356701697 3334070105091 10002210315273