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1120101000 = 233533710091
BaseRepresentation
bin100001011000011…
…0110001010001000
32220001200000201020
41002300312022020
54243221213000
6303051352440
736520462404
oct10260661210
92801600636
101120101000
115252a4507
12273152720
1314b09b075
14a8a92104
1568506ba0
hex42c36288

1120101000 has 128 divisors (see below), whose sum is σ = 3589522560. Its totient is φ = 290592000.

The previous prime is 1120100987. The next prime is 1120101013. The reversal of 1120101000 is 1010211.

It is an interprime number because it is at equal distance from previous prime (1120100987) and next prime (1120101013).

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 a self number, because there is not a number n which added to its sum of digits gives 1120101000.

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 31 ways as a sum of consecutive naturals, for example, 105955 + ... + 116045.

It is an arithmetic number, because the mean of its divisors is an integer number (28043145).

Almost surely, 21120101000 is an apocalyptic number.

1120101000 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 1120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794761280).

1120101000 is an abundant number, since it is smaller than the sum of its proper divisors (2469421560).

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

1120101000 is a wasteful number, since it uses less digits than its factorization.

1120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10138 counting only the distinct ones).

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

The square root of 1120101000 is about 33467.9100034645. The cubic root of 1120101000 is about 1038.5300362119.

Adding to 1120101000 its reverse (1010211), we get a palindrome (1121111211).

The spelling of 1120101000 in words is "one billion, one hundred twenty million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 10091 11100 13875 18500 20182 22200 27750 30273 37000 40364 50455 55500 60546 80728 100910 111000 121092 151365 201820 242184 252275 302730 373367 403640 504550 605460 746734 756825 1009100 1120101 1210920 1261375 1493468 1513650 1866835 2018200 2240202 2522750 2986936 3027300 3733670 3784125 4480404 5045500 5600505 6054600 7467340 7568250 8960808 9334175 10091000 11201010 14934680 15136500 18668350 22402020 28002525 30273000 37336700 44804040 46670875 56005050 74673400 93341750 112010100 140012625 186683500 224020200 280025250 373367000 560050500 1120101000