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10133213210001 = 337149791945439
BaseRepresentation
bin1001001101110101001010…
…0100101110010110010001
31022212201121001101110221000
42103131102210232112101
52312010310040210001
633315044530252213
72064046320060660
oct223352244562621
938781531343830
1010133213210001
113257520759402
121177a74727069
1358673394553b
14270643260dd7
151288c4e13a86
hex9375292e591

10133213210001 has 64 divisors (see below), whose sum is σ = 17274470400000. Its totient is φ = 5750692894656.

The previous prime is 10133213209997. The next prime is 10133213210047. The reversal of 10133213210001 is 10001231233101.

10133213210001 is a `hidden beast` number, since 10 + 1 + 332 + 1 + 321 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 10133213210001 - 22 = 10133213209997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133213210051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222984240 + ... + 223029678.

It is an arithmetic number, because the mean of its divisors is an integer number (269913600000).

Almost surely, 210133213210001 is an apocalyptic number.

It is an amenable number.

10133213210001 is a deficient number, since it is larger than the sum of its proper divisors (7141257189999).

10133213210001 is a wasteful number, since it uses less digits than its factorization.

10133213210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53523 (or 53517 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10133213210001 its reverse (10001231233101), we get a palindrome (20134444443102).

The spelling of 10133213210001 in words is "ten trillion, one hundred thirty-three billion, two hundred thirteen million, two hundred ten thousand, one".

Divisors: 1 3 7 9 21 27 63 149 189 447 1043 1341 3129 4023 7919 9387 23757 28161 45439 55433 71271 136317 166299 213813 318073 408951 498897 954219 1179931 1226853 1496691 2862657 3539793 6770411 8259517 8587971 10619379 20311233 24778551 31858137 47392877 60933699 74335653 142178631 182801097 223006959 359831441 426535893 1079494323 1279607679 2518820087 3238482969 7556460261 9715448907 22669380783 53614884709 68008142349 160844654127 375304192963 482533962381 1125912578889 1447601887143 3377737736667 10133213210001