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202112131424 = 2572417730859
BaseRepresentation
bin1011110000111011010…
…0100110000101100000
3201022200112122002010012
42330032310212011200
511302411201201144
6232503220224052
720413345525400
oct2741664460540
9638615562105
10202112131424
1178796035865
1233206b3b028
131609ca96a98
149ad4808800
1553cdad5e9e
hex2f0ed26160

202112131424 has 72 divisors (see below), whose sum is σ = 462998690280. Its totient is φ = 86595941376.

The previous prime is 202112131423. The next prime is 202112131427. The reversal of 202112131424 is 424131211202.

It is a self number, because there is not a number n which added to its sum of digits gives 202112131424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112131423) 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 11 ways as a sum of consecutive naturals, for example, 6534107 + ... + 6564965.

It is an arithmetic number, because the mean of its divisors is an integer number (6430537365).

Almost surely, 2202112131424 is an apocalyptic number.

It is an amenable number.

202112131424 is an abundant number, since it is smaller than the sum of its proper divisors (260886558856).

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

202112131424 is a wasteful number, since it uses less digits than its factorization.

202112131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35060 (or 35045 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 202112131424 its reverse (424131211202), we get a palindrome (626243342626).

The spelling of 202112131424 in words is "two hundred two billion, one hundred twelve million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 4177 8354 16708 29239 30859 33416 58478 61718 66832 116956 123436 133664 204673 216013 233912 246872 409346 432026 467824 493744 818692 864052 935648 987488 1512091 1637384 1728104 3024182 3274768 3456208 6048364 6549536 6912416 12096728 24193456 48386912 128898043 257796086 515592172 902286301 1031184344 1804572602 2062368688 3609145204 4124737376 6316004107 7218290408 12632008214 14436580816 25264016428 28873161632 50528032856 101056065712 202112131424