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211238594320 = 24513203114033
BaseRepresentation
bin1100010010111011001…
…1010010011100010000
3202012020120200102121111
43010232303102130100
511430104040004240
6241013000103104
721155455266055
oct3045663223420
9665216612544
10211238594320
1181649752486
1234b33464a94
1316bc57c48a0
14a31c93d02c
155764e431ea
hex312ecd2710

211238594320 has 40 divisors (see below), whose sum is σ = 528908944536. Its totient is φ = 77995788288.

The previous prime is 211238594309. The next prime is 211238594321. The reversal of 211238594320 is 23495832112.

211238594320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19940828944 + 191297765376 = 141212^2 + 437376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (211238594321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101555977 + ... + 101558056.

Almost surely, 2211238594320 is an apocalyptic number.

211238594320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211238594320 is an abundant number, since it is smaller than the sum of its proper divisors (317670350216).

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

211238594320 is a wasteful number, since it uses less digits than its factorization.

211238594320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203114059 (or 203114053 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 211238594320 in words is "two hundred eleven billion, two hundred thirty-eight million, five hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 203114033 406228066 812456132 1015570165 1624912264 2031140330 2640482429 3249824528 4062280660 5280964858 8124561320 10561929716 13202412145 16249122640 21123859432 26404824290 42247718864 52809648580 105619297160 211238594320