Search a number
-
+
2212000202100 = 22352131015615639
BaseRepresentation
bin100000001100000101011…
…111000111110101110100
321211110120002121222001010
4200030011133013311310
5242220134022431400
64412102345032220
7315545266330023
oct40140537076564
97743502558033
102212000202100
117831164a1487
122b884a485670
1313078aa89040
14790c06028ba
153c814c12450
hex203057c7d74

2212000202100 has 144 divisors (see below), whose sum is σ = 6960608242560. Its totient is φ = 539101248000.

The previous prime is 2212000202047. The next prime is 2212000202101. The reversal of 2212000202100 is 12020002122.

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 (2212000202101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2413920 + ... + 3201719.

It is an arithmetic number, because the mean of its divisors is an integer number (48337557240).

Almost surely, 22212000202100 is an apocalyptic number.

2212000202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212000202100 is an abundant number, since it is smaller than the sum of its proper divisors (4748608040460).

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

2212000202100 is a wasteful number, since it uses less digits than its factorization.

2212000202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615770 (or 5615763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2212000202100 its reverse (12020002122), we get a palindrome (2224020204222).

The spelling of 2212000202100 in words is "two trillion, two hundred twelve billion, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 101 130 150 156 195 202 260 300 303 325 390 404 505 606 650 780 975 1010 1212 1300 1313 1515 1950 2020 2525 2626 3030 3900 3939 5050 5252 6060 6565 7575 7878 10100 13130 15150 15756 19695 26260 30300 32825 39390 65650 78780 98475 131300 196950 393900 5615639 11231278 16846917 22462556 28078195 33693834 56156390 67387668 73003307 84234585 112312780 140390975 146006614 168469170 219009921 280781950 292013228 336938340 365016535 421172925 438019842 561563900 567179539 730033070 842345850 876039684 1095049605 1134359078 1460066140 1684691700 1701538617 1825082675 2190099210 2268718156 2835897695 3403077234 3650165350 4380198420 5475248025 5671795390 6806154468 7300330700 7373334007 8507693085 10950496050 11343590780 14179488475 14746668014 17015386170 21900992100 22120002021 28358976950 29493336028 34030772340 36866670035 42538465425 44240004042 56717953900 73733340070 85076930850 88480008084 110600010105 147466680140 170153861700 184333350175 221200020210 368666700350 442400040420 553000050525 737333400700 1106000101050 2212000202100