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121001100 = 223521137991
BaseRepresentation
bin1110011011001…
…01010010001100
322102200111022020
413031211102030
5221434013400
620001250140
72666330613
oct715452214
9272614266
10121001100
1162335a10
1234633950
131c0b77ac
14120da87a
15a9522a0
hex736548c

121001100 has 144 divisors (see below), whose sum is σ = 392641536. Its totient is φ = 28512000.

The previous prime is 121001099. The next prime is 121001113. The reversal of 121001100 is 1100121.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121605 + ... + 122595.

Almost surely, 2121001100 is an apocalyptic number.

121001100 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 121001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196320768).

121001100 is an abundant number, since it is smaller than the sum of its proper divisors (271640436).

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

121001100 is a wasteful number, since it uses less digits than its factorization.

121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 121001100 is about 11000.0499998864. The cubic root of 121001100 is about 494.6102431347.

Adding to 121001100 its reverse (1100121), we get a palindrome (122101221).

The spelling of 121001100 in words is "one hundred twenty-one million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 991 1100 1110 1221 1628 1650 1850 1982 2035 2220 2442 2775 2973 3300 3700 3964 4070 4884 4955 5550 5946 6105 8140 9910 10175 10901 11100 11892 12210 14865 19820 20350 21802 24420 24775 29730 30525 32703 36667 40700 43604 49550 54505 59460 61050 65406 73334 74325 99100 109010 110001 122100 130812 146668 148650 163515 183335 218020 220002 272525 297300 327030 366670 403337 440004 545050 550005 654060 733340 806674 817575 916675 1090100 1100010 1210011 1613348 1635150 1833350 2016685 2200020 2420022 2750025 3270300 3666700 4033370 4840044 5500050 6050055 8066740 10083425 11000100 12100110 20166850 24200220 30250275 40333700 60500550 121001100