Search a number
-
+
12211002201100 = 2252757161307823
BaseRepresentation
bin1011000110110001100001…
…1100101101010000001100
31121020100201201221111212111
42301230120130231100030
53100031113030413400
641545353523313404
72400134006100403
oct261543034552014
947210651844774
1012211002201100
11398872544758a
1214526a7b1b864
136a7653227211
14303030d8463a
1516298221b3ba
hexb1b1872d40c

12211002201100 has 36 divisors (see below), whose sum is σ = 26532878738464. Its totient is φ = 4877948537280.

The previous prime is 12211002201077. The next prime is 12211002201103. The reversal of 12211002201100 is 110220011221.

It is not an unprimeable number, because it can be changed into a prime (12211002201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80578212 + ... + 80729611.

Almost surely, 212211002201100 is an apocalyptic number.

12211002201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211002201100 is an abundant number, since it is smaller than the sum of its proper divisors (14321876537364).

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

12211002201100 is a wasteful number, since it uses less digits than its factorization.

12211002201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161308594 (or 161308587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211002201100 its reverse (110220011221), we get a palindrome (12321222212321).

The spelling of 12211002201100 in words is "twelve trillion, two hundred eleven billion, two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 757 1514 3028 3785 7570 15140 18925 37850 75700 161307823 322615646 645231292 806539115 1613078230 3226156460 4032695575 8065391150 16130782300 122110022011 244220044022 488440088044 610550110055 1221100220110 2442200440220 3052750550275 6105501100550 12211002201100