Search a number
-
+
212120211000 = 2335370706737
BaseRepresentation
bin1100010110001101011…
…0011000111000111000
3202021112000121012100010
43011203112120320320
511433410233223000
6241240252141520
721216352021065
oct3054326307070
9667460535303
10212120211000
1181a61369105
123513a7678a0
1317006352969
14a3a3a71c6c
1557b753cd50
hex3163598e38

212120211000 has 64 divisors (see below), whose sum is σ = 661815067680. Its totient is φ = 56565388800.

The previous prime is 212120210971. The next prime is 212120211001. The reversal of 212120211000 is 112021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120211001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35350369 + ... + 35356368.

Almost surely, 2212120211000 is an apocalyptic number.

212120211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120211000 is an abundant number, since it is smaller than the sum of its proper divisors (449694856680).

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

212120211000 is a wasteful number, since it uses less digits than its factorization.

212120211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70706761 (or 70706747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212120211000 its reverse (112021212), we get a palindrome (212232232212).

The spelling of 212120211000 in words is "two hundred twelve billion, one hundred twenty million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 70706737 141413474 212120211 282826948 353533685 424240422 565653896 707067370 848480844 1060601055 1414134740 1696961688 1767668425 2121202110 2828269480 3535336850 4242404220 5303005275 7070673700 8484808440 8838342125 10606010550 14141347400 17676684250 21212021100 26515026375 35353368500 42424042200 53030052750 70706737000 106060105500 212120211000