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211600332141 = 31153131923539
BaseRepresentation
bin1100010100010001011…
…1001101010101101101
3202020011210100121121120
43011010113031111231
511431324141112031
6241112521251153
721200440101222
oct3050427152555
9666153317546
10211600332141
1181814964460
1235014633ab9
1316c5272a633
14a3549c3949
155786a99a96
hex31445cd56d

211600332141 has 32 divisors (see below), whose sum is σ = 315983669760. Its totient is φ = 124862337600.

The previous prime is 211600332107. The next prime is 211600332179. The reversal of 211600332141 is 141233006112.

It is a happy number.

211600332141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211600332141 - 29 = 211600331629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211600332101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232651 + ... + 690888.

It is an arithmetic number, because the mean of its divisors is an integer number (9874489680).

Almost surely, 2211600332141 is an apocalyptic number.

It is an amenable number.

211600332141 is a deficient number, since it is larger than the sum of its proper divisors (104383337619).

211600332141 is a wasteful number, since it uses less digits than its factorization.

211600332141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923737.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211600332141 its reverse (141233006112), we get a palindrome (352833338253).

The spelling of 211600332141 in words is "two hundred eleven billion, six hundred million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 11 33 53 131 159 393 583 1441 1749 4323 6943 20829 76373 229119 923539 2770617 10158929 30476787 48947567 120983609 146842701 362950827 538423237 1330819699 1615269711 3992459097 6412131277 19236393831 70533444047 211600332141