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214201242102412 = 22731379195826437
BaseRepresentation
bin110000101101000010011100…
…111100100010101010001100
31001002102102211212002001000101
4300231002130330202222030
5211033433120434234122
62035322405301140444
763055346314433125
oct6055023474425214
91032372755061011
10214201242102412
1162284266a52054
12200357766ba724
13926a123977c26
143ac757710304c
1519b6cec4b7027
hexc2d09cf22a8c

214201242102412 has 48 divisors (see below), whose sum is σ = 383177326472640. Its totient is φ = 104748318968832.

The previous prime is 214201242102371. The next prime is 214201242102437.

214201242102412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2142012421024122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33850458 + ... + 39676894.

It is an arithmetic number, because the mean of its divisors is an integer number (7982860968180).

Almost surely, 2214201242102412 is an apocalyptic number.

It is an amenable number.

214201242102412 is a deficient number, since it is larger than the sum of its proper divisors (168976084370228).

214201242102412 is a wasteful number, since it uses less digits than its factorization.

214201242102412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827570 (or 5827568 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 214201242102412 in words is "two hundred fourteen trillion, two hundred one billion, two hundred forty-two million, one hundred two thousand, four hundred twelve".

Divisors: 1 2 4 73 137 146 274 292 548 919 1838 3676 10001 20002 40004 67087 125903 134174 251806 268348 503612 5826437 9190919 11652874 18381838 23305748 36763676 425329901 798221869 850659802 1596443738 1701319604 3192887476 5354495603 10708991206 21417982412 58270196437 116540392874 233080785748 390878179019 733565897611 781756358038 1467131795222 1563512716076 2934263590444 53550310525603 107100621051206 214201242102412