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213114010095 = 3357622136251
BaseRepresentation
bin1100011001111010010…
…1011011100111101111
3202101002021121102102000
43012132211123213233
511442424141310340
6241523032503343
721253110124410
oct3063645334757
9671067542360
10213114010095
1182421337078
123537754ab53
13171341cb56c
14a459a47807
1558248e6d30
hex319e95b9ef

213114010095 has 64 divisors (see below), whose sum is σ = 433075092480. Its totient is φ = 97405200000.

The previous prime is 213114010091. The next prime is 213114010103. The reversal of 213114010095 is 590010411312.

It is a happy number.

It is not a de Polignac number, because 213114010095 - 22 = 213114010091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213114010091) 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, 5860720 + ... + 5896970.

It is an arithmetic number, because the mean of its divisors is an integer number (6766798320).

Almost surely, 2213114010095 is an apocalyptic number.

213114010095 is an abundant number, since it is smaller than the sum of its proper divisors (219961082385).

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

213114010095 is a wasteful number, since it uses less digits than its factorization.

213114010095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42493 (or 42487 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 213114010095 in words is "two hundred thirteen billion, one hundred fourteen million, ten thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 6221 18663 31105 36251 43547 55989 93315 108753 130641 167967 181255 217735 253757 279945 326259 391923 543765 653205 761271 839835 978777 1175769 1268785 1631295 1959615 2283813 3806355 4893885 5878845 6851439 11419065 34257195 225517471 676552413 1127587355 1578622297 2029657239 3382762065 4735866891 6088971717 7893111485 10148286195 14207600673 23679334455 30444858585 42622802019 71038003365 213114010095