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212201403040 = 25511296762053
BaseRepresentation
bin1100010110100000110…
…0000111001010100000
3202021201200101011212201
43011220030013022200
511434042024344130
6241252312302544
721221356110424
oct3055014071240
9667650334781
10212201403040
1181aa3183970
12351619a1a54
131701a10c7a3
14a3b0768b84
1557be729bca
hex31683072a0

212201403040 has 192 divisors, whose sum is σ = 574212965760. Its totient is φ = 73390141440.

The previous prime is 212201403031. The next prime is 212201403049. The reversal of 212201403040 is 40304102212.

212201403040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212201403031) and next prime (212201403049).

It is a junction number, because it is equal to n+sod(n) for n = 212201402999 and 212201403017.

It is not an unprimeable number, because it can be changed into a prime (212201403049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3388654 + ... + 3450706.

It is an arithmetic number, because the mean of its divisors is an integer number (2990692530).

Almost surely, 2212201403040 is an apocalyptic number.

212201403040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287106482880).

212201403040 is an abundant number, since it is smaller than the sum of its proper divisors (362011562720).

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

212201403040 is a wasteful number, since it uses less digits than its factorization.

212201403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62175 (or 62167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 212201403040 its reverse (40304102212), we get a palindrome (252505505252).

The spelling of 212201403040 in words is "two hundred twelve billion, two hundred one million, four hundred three thousand, forty".