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1107005020 = 2251171131541
BaseRepresentation
bin100000111111011…
…1000111001011100
32212011000200101221
41001332320321130
54231343130040
6301502543124
736301246612
oct10176707134
92764020357
101107005020
1151896a290
1226a897aa4
13148464274
14a70436b2
15672bb74a
hex41fb8e5c

1107005020 has 96 divisors (see below), whose sum is σ = 2596188672. Its totient is φ = 393120000.

The previous prime is 1107005017. The next prime is 1107005027. The reversal of 1107005020 is 205007011.

1107005020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11070050202 = 2450920228610400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1107004985 and 1107005003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107005027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045950 + ... + 2046490.

It is an arithmetic number, because the mean of its divisors is an integer number (27043632).

Almost surely, 21107005020 is an apocalyptic number.

1107005020 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 1107005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298094336).

1107005020 is an abundant number, since it is smaller than the sum of its proper divisors (1489183652).

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

1107005020 is a wasteful number, since it uses less digits than its factorization.

1107005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1107005020 is about 33271.6849588355. The cubic root of 1107005020 is about 1034.4667358027.

The spelling of 1107005020 in words is "one billion, one hundred seven million, five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 131 142 220 262 284 355 524 541 655 710 781 1082 1310 1420 1441 1562 2164 2620 2705 2882 3124 3905 5410 5764 5951 7205 7810 9301 10820 11902 14410 15620 18602 23804 28820 29755 37204 38411 46505 59510 70871 76822 93010 102311 119020 141742 153644 186020 192055 204622 283484 354355 384110 409244 422521 511555 708710 768220 779581 845042 1023110 1417420 1559162 1690084 2046220 2112605 3118324 3897905 4225210 5031841 7795810 8450420 10063682 15591620 20127364 25159205 50318410 55350251 100636820 110700502 221401004 276751255 553502510 1107005020