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212042103303424 = 2810760712752921
BaseRepresentation
bin110000001101100111100110…
…001111101010110100000000
31000210210000201202111120202011
4300031213212033222310000
5210243044211421202144
62030550444131302304
762443351663444012
oct6015474617526400
91023700652446664
10212042103303424
1161621607430189
121b94721b44a994
13914163b707654
143a50c6d27a1b2
15197aa7d462a34
hexc0d9e63ead00

212042103303424 has 72 divisors (see below), whose sum is σ = 427915421676288. Its totient is φ = 104857160847360.

The previous prime is 212042103303419. The next prime is 212042103303427. The reversal of 212042103303424 is 424303301240212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212042103303427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10250484 + ... + 23003404.

It is an arithmetic number, because the mean of its divisors is an integer number (5943269745504).

Almost surely, 2212042103303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212042103303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213957710838144).

212042103303424 is an abundant number, since it is smaller than the sum of its proper divisors (215873318372864).

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

212042103303424 is a wasteful number, since it uses less digits than its factorization.

212042103303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12753651 (or 12753637 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 212042103303424 its reverse (424303301240212), we get a palindrome (636345404543636).

The spelling of 212042103303424 in words is "two hundred twelve trillion, forty-two billion, one hundred three million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 607 856 1214 1712 2428 3424 4856 6848 9712 13696 19424 27392 38848 64949 77696 129898 155392 259796 519592 1039184 2078368 4156736 8313472 12752921 16626944 25505842 51011684 102023368 204046736 408093472 816186944 1364562547 1632373888 2729125094 3264747776 5458250188 7741023047 10916500376 15482046094 21833000752 30964092188 43666001504 61928184376 87332003008 123856368752 174664006016 247712737504 349328012032 495425475008 828289466029 990850950016 1656578932058 1981701900032 3313157864116 6626315728232 13252631456464 26505262912928 53010525825856 106021051651712 212042103303424