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214020323101221 = 37132831927683083
BaseRepresentation
bin110000101010011001111101…
…010101010100101000100101
31001001210010212022001112010120
4300222121331111110220211
5211023002110203214341
62035103325031112153
763036313056335220
oct6052317525245045
91031703768045116
10214020323101221
116221456698a75a
12200066a5212659
1392560508163c0
143abc8d32425b7
1519b225e27c066
hexc2a67d554a25

214020323101221 has 32 divisors (see below), whose sum is σ = 351225252618240. Its totient is φ = 112885850314944.

The previous prime is 214020323101219. The next prime is 214020323101261. The reversal of 214020323101221 is 122101323020412.

It is not a de Polignac number, because 214020323101221 - 21 = 214020323101219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214020323101191 and 214020323101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214020323101261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6110455 + ... + 21572628.

It is an arithmetic number, because the mean of its divisors is an integer number (10975789144320).

Almost surely, 2214020323101221 is an apocalyptic number.

214020323101221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214020323101221 is a deficient number, since it is larger than the sum of its proper divisors (137204929517019).

214020323101221 is a wasteful number, since it uses less digits than its factorization.

214020323101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27711425.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214020323101221 its reverse (122101323020412), we get a palindrome (336121646121633).

The spelling of 214020323101221 in words is "two hundred fourteen trillion, twenty billion, three hundred twenty-three million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 273 28319 84957 198233 368147 594699 1104441 2577029 7731087 27683083 83049249 193781581 359880079 581344743 1079640237 2519160553 7557481659 783957227477 2351871682431 5487700592339 10191443957201 16463101777017 30574331871603 71340107700407 214020323101221