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213193951400 = 23521065969757
BaseRepresentation
bin1100011010001101011…
…0011000100010101000
3202101021212000212021002
43012203112120202220
511443110122421100
6241535010134132
721255100454423
oct3064326304250
9671255025232
10213193951400
1182462478171
123539a281348
131714793b001
14a4664d69ba
15582b9382d5
hex31a35988a8

213193951400 has 24 divisors (see below), whose sum is σ = 495675937470. Its totient is φ = 85277580480.

The previous prime is 213193951357. The next prime is 213193951457. The reversal of 213193951400 is 4159391312.

It can be written as a sum of positive squares in 3 ways, for example, as 177326894404 + 35867056996 = 421102^2 + 189386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532984679 + ... + 532985078.

Almost surely, 2213193951400 is an apocalyptic number.

213193951400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213193951400 is an abundant number, since it is smaller than the sum of its proper divisors (282481986070).

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

213193951400 is a wasteful number, since it uses less digits than its factorization.

213193951400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065969773 (or 1065969764 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 213193951400 in words is "two hundred thirteen billion, one hundred ninety-three million, nine hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1065969757 2131939514 4263879028 5329848785 8527758056 10659697570 21319395140 26649243925 42638790280 53298487850 106596975700 213193951400