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1111012020 = 2232541914731
BaseRepresentation
bin100001000111000…
…1011001010110100
32212102120020222100
41002032023022310
54233404341040
6302124502100
736350306046
oct10216131264
92772506870
101111012020
11520156858
122700aa930
13149238081
14a77a7a96
156780db30
hex4238b2b4

1111012020 has 72 divisors (see below), whose sum is σ = 3378342240. Its totient is φ = 295542720.

The previous prime is 1111012013. The next prime is 1111012031. The reversal of 1111012020 is 202101111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1111011993 and 1111012011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 68055 + ... + 82785.

It is an arithmetic number, because the mean of its divisors is an integer number (46921420).

Almost surely, 21111012020 is an apocalyptic number.

1111012020 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 1111012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689171120).

1111012020 is an abundant number, since it is smaller than the sum of its proper divisors (2267330220).

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

1111012020 is a wasteful number, since it uses less digits than its factorization.

1111012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15165 (or 15160 counting only the distinct ones).

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

The square root of 1111012020 is about 33331.8469335259. The cubic root of 1111012020 is about 1035.7133778238.

Adding to 1111012020 its reverse (202101111), we get a palindrome (1313113131).

The spelling of 1111012020 in words is "one billion, one hundred eleven million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 3771 4190 5028 6285 7542 8380 12570 14731 15084 18855 25140 29462 37710 44193 58924 73655 75420 88386 132579 147310 176772 220965 265158 294620 441930 530316 662895 883860 1325790 2651580 6172289 12344578 18516867 24689156 30861445 37033734 55550601 61722890 74067468 92584335 111101202 123445780 185168670 222202404 277753005 370337340 555506010 1111012020