Search a number
-
+
1212100202100 = 2235210141339679
BaseRepresentation
bin10001101000110110110…
…011010100111001110100
311021212122100101001202210
4101220312303110321310
5124324340122431400
62324455305533420
7153366654503124
oct21506663247164
94255570331683
101212100202100
11428059a68017
12176ab5aa4270
138a3ba433cc8
144294758ac84
15217e2150950
hex11a36cd4e74

1212100202100 has 144 divisors (see below), whose sum is σ = 3542955736320. Its totient is φ = 319915968000.

The previous prime is 1212100202057. The next prime is 1212100202149. The reversal of 1212100202100 is 12020012121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125225061 + ... + 125234739.

It is an arithmetic number, because the mean of its divisors is an integer number (24603859280).

Almost surely, 21212100202100 is an apocalyptic number.

1212100202100 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 1212100202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771477868160).

1212100202100 is an abundant number, since it is smaller than the sum of its proper divisors (2330855534220).

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

1212100202100 is a wasteful number, since it uses less digits than its factorization.

1212100202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930 (or 13923 counting only the distinct ones).

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

Adding to 1212100202100 its reverse (12020012121), we get a palindrome (1224120214221).

The spelling of 1212100202100 in words is "one trillion, two hundred twelve billion, one hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 4133 5050 6060 7575 8266 9679 10100 12399 15150 16532 19358 20665 24798 29037 30300 38716 41330 48395 49596 58074 61995 82660 96790 103325 116148 123990 145185 193580 206650 241975 247980 290370 309975 413300 417433 483950 580740 619950 725925 834866 967900 977579 1239900 1252299 1451850 1669732 1955158 2087165 2504598 2903700 2932737 3910316 4174330 4887895 5009196 5865474 6261495 8348660 9775790 10435825 11730948 12522990 14663685 19551580 20871650 24439475 25045980 29327370 31307475 40003307 41743300 48878950 58654740 62614950 73318425 80006614 97757900 120009921 125229900 146636850 160013228 200016535 240019842 293273700 400033070 480039684 600049605 800066140 1000082675 1200099210 2000165350 2400198420 3000248025 4000330700 4040334007 6000496050 8080668014 12000992100 12121002021 16161336028 20201670035 24242004042 40403340070 48484008084 60605010105 80806680140 101008350175 121210020210 202016700350 242420040420 303025050525 404033400700 606050101050 1212100202100