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214223020212132 = 22326907861537491
BaseRepresentation
bin110000101101010110101111…
…000001011011111110100100
31001002111112001121102122020200
4300231112233001123332210
5211034312221133242012
62035340410305430500
763060050100343311
oct6055265701337644
91032445047378220
10214223020212132
1162292522144238
1220039a3403b430
13926c1b4849c99
143ac8641603d08
1519b76743b53dc
hexc2d5af05bfa4

214223020212132 has 36 divisors (see below), whose sum is σ = 541586590520976. Its totient is φ = 71397334871280.

The previous prime is 214223020212121. The next prime is 214223020212191. The reversal of 214223020212132 is 231212020322412.

214223020212132 is a `hidden beast` number, since 2 + 1 + 422 + 3 + 0 + 2 + 0 + 21 + 213 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 214223020212096 and 214223020212105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430520094 + ... + 431017397.

It is an arithmetic number, because the mean of its divisors is an integer number (15044071958916).

Almost surely, 2214223020212132 is an apocalyptic number.

It is an amenable number.

214223020212132 is an abundant number, since it is smaller than the sum of its proper divisors (327363570308844).

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

214223020212132 is a wasteful number, since it uses less digits than its factorization.

214223020212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861544408 (or 861544403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214223020212132 its reverse (231212020322412), we get a palindrome (445435040534544).

The spelling of 214223020212132 in words is "two hundred fourteen trillion, two hundred twenty-three billion, twenty million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6907 13814 20721 27628 41442 62163 82884 124326 248652 861537491 1723074982 2584612473 3446149964 5169224946 7753837419 10338449892 15507674838 31015349676 5950639450337 11901278900674 17851918351011 23802557801348 35703836702022 53555755053033 71407673404044 107111510106066 214223020212132