Search a number
-
+
1012212202100 = 2252112142358787
BaseRepresentation
bin11101011101011001000…
…11000111101001110100
310120202200210211120101112
432232230203013221310
5113041002310431400
62053000500214152
7133062363520541
oct16565443075164
93522623746345
101012212202100
11360305444100
1214420b99a358
13745b339a628
1436dc4301bc8
151b4e3951835
hexebac8c7a74

1012212202100 has 108 divisors (see below), whose sum is σ = 2416072986432. Its totient is φ = 367812244800.

The previous prime is 1012212202081. The next prime is 1012212202103. The reversal of 1012212202100 is 12022122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012212202103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17188907 + ... + 17247693.

Almost surely, 21012212202100 is an apocalyptic number.

1012212202100 is a gapful number since it is divisible by the number (10) 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 1012212202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208036493216).

1012212202100 is an abundant number, since it is smaller than the sum of its proper divisors (1403860784332).

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

1012212202100 is a wasteful number, since it uses less digits than its factorization.

1012212202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60246 (or 60228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012212202100 its reverse (12022122101), we get a palindrome (1024234324201).

The spelling of 1012212202100 in words is "one trillion, twelve billion, two hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1423 2420 2846 3025 5692 6050 7115 12100 14230 15653 28460 31306 35575 58787 62612 71150 78265 117574 142300 156530 172183 235148 293935 313060 344366 391325 587870 646657 688732 782650 860915 1175740 1293314 1469675 1565300 1721830 2586628 2939350 3233285 3443660 4304575 5878700 6466570 7113227 8609150 12933140 14226454 16166425 17218300 28452908 32332850 35566135 64665700 71132270 83653901 142264540 167307802 177830675 334615604 355661350 418269505 711322700 836539010 920192911 1673078020 1840385822 2091347525 3680771644 4182695050 4600964555 8365390100 9201929110 10122122021 18403858220 20244244042 23004822775 40488488084 46009645550 50610610105 92019291100 101221220210 202442440420 253053050525 506106101050 1012212202100