Search a number
-
+
2120021222100 = 2235236711925017
BaseRepresentation
bin11110110110011011000…
…111001010001011010100
321111200010220221122201020
4132312123013022023110
5234213300413101400
64301531352201140
7306111050026335
oct36663307121324
97450126848636
102120021222100
11748106790431
122a2a5a9991b0
13124bbcc6c1a2
147487695c28c
153a22ec762a0
hex1ed9b1ca2d4

2120021222100 has 72 divisors (see below), whose sum is σ = 6135602171328. Its totient is φ = 565184697600.

The previous prime is 2120021222083. The next prime is 2120021222141. The reversal of 2120021222100 is 12221200212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120021222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138792 + ... + 2063808.

It is an arithmetic number, because the mean of its divisors is an integer number (85216696824).

Almost surely, 22120021222100 is an apocalyptic number.

2120021222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120021222100 is an abundant number, since it is smaller than the sum of its proper divisors (4015580949228).

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

2120021222100 is a wasteful number, since it uses less digits than its factorization.

2120021222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928705 (or 1928698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2120021222100 its reverse (12221200212), we get a palindrome (2132242422312).

The spelling of 2120021222100 in words is "two trillion, one hundred twenty billion, twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3671 7342 11013 14684 18355 22026 36710 44052 55065 73420 91775 110130 183550 220260 275325 367100 550650 1101300 1925017 3850034 5775051 7700068 9625085 11550102 19250170 23100204 28875255 38500340 48125425 57750510 96250850 115501020 144376275 192501700 288752550 577505100 7066737407 14133474814 21200212221 28266949628 35333687035 42400424442 70667374070 84800848884 106001061105 141334748140 176668435175 212002122210 353336870350 424004244420 530005305525 706673740700 1060010611050 2120021222100