Search a number
-
+
11010122100 = 2233524077823
BaseRepresentation
bin10100100000100000…
…10010000101110100
31001102022111011011000
422100100102011310
5140022042401400
65020305043300
7536561331225
oct122020220564
931368434130
1011010122100
11473aa2176a
122173326530
13106605c963
1476638724c
154468dd600
hex290412174

11010122100 has 72 divisors (see below), whose sum is σ = 35395512320. Its totient is φ = 2936031840.

The previous prime is 11010122087. The next prime is 11010122129. The reversal of 11010122100 is 122101011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036212 + ... + 2041611.

Almost surely, 211010122100 is an apocalyptic number.

11010122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010122100 is an abundant number, since it is smaller than the sum of its proper divisors (24385390220).

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

11010122100 is a wasteful number, since it uses less digits than its factorization.

11010122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077846 (or 4077833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11010122100 its reverse (122101011), we get a palindrome (11132223111).

The spelling of 11010122100 in words is "eleven billion, ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4077823 8155646 12233469 16311292 20389115 24466938 36700407 40778230 48933876 61167345 73400814 81556460 101945575 110101221 122334690 146801628 183502035 203891150 220202442 244669380 305836725 367004070 407782300 440404884 550506105 611673450 734008140 917510175 1101012210 1223346900 1835020350 2202024420 2752530525 3670040700 5505061050 11010122100