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214135053432105 = 35133115135251789
BaseRepresentation
bin110000101100000100110011…
…110010110011010100101001
31001002012010000001102012120210
4300230010303302303110221
5211031342042134311410
62035232141400211333
763050514150140631
oct6054046362632451
91032163001365523
10214135053432105
116225919119a433
1220024984169b49
139263b06033860
143ac429876b6c1
1519b52267ae220
hexc2c133cb3529

214135053432105 has 32 divisors (see below), whose sum is σ = 368983024058880. Its totient is φ = 105416946835200.

The previous prime is 214135053432089. The next prime is 214135053432137. The reversal of 214135053432105 is 501234350531412.

It is not a de Polignac number, because 214135053432105 - 24 = 214135053432089 is a prime.

It is a super-2 number, since 2×2141350534321052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11551450 + ... + 23700339.

It is an arithmetic number, because the mean of its divisors is an integer number (11530719501840).

Almost surely, 2214135053432105 is an apocalyptic number.

It is an amenable number.

214135053432105 is a deficient number, since it is larger than the sum of its proper divisors (154847970626775).

214135053432105 is a wasteful number, since it uses less digits than its factorization.

214135053432105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35282961.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 214135053432105 in words is "two hundred fourteen trillion, one hundred thirty-five billion, fifty-three million, four hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 195 31151 93453 155755 404963 467265 1214889 2024815 6074445 35251789 105755367 176258945 458273257 528776835 1374819771 2291366285 6874098855 1098128479139 3294385437417 5490642395695 14275670228807 16471927187085 42827010686421 71378351144035 214135053432105