Search a number
-
+
212001202120 = 23529182759657
BaseRepresentation
bin1100010101110001000…
…0011001111111001000
3202021012201122220211211
43011130100121333020
511433134301431440
6241220401302504
721213405325321
oct3053420317710
9667181586754
10212001202120
1181a00173a64
1235106934a34
1316cb77b4bc6
14a391d33448
1557abd80eea
hex315c419fc8

212001202120 has 32 divisors (see below), whose sum is σ = 493451076600. Its totient is φ = 81876325888.

The previous prime is 212001202109. The next prime is 212001202141. The reversal of 212001202120 is 21202100212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 164107630404 + 47893571716 = 405102^2 + 218846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212001202120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91378669 + ... + 91380988.

Almost surely, 2212001202120 is an apocalyptic number.

212001202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001202120 is an abundant number, since it is smaller than the sum of its proper divisors (281449874480).

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

212001202120 is a wasteful number, since it uses less digits than its factorization.

212001202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182759697 (or 182759693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212001202120 its reverse (21202100212), we get a palindrome (233203302332).

The spelling of 212001202120 in words is "two hundred twelve billion, one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 182759657 365519314 731038628 913798285 1462077256 1827596570 3655193140 5300030053 7310386280 10600060106 21200120212 26500150265 42400240424 53000300530 106000601060 212001202120