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1034141020 = 2251121014231
BaseRepresentation
bin111101101000111…
…011110101011100
32200001220210210021
4331220323311130
54104220003040
6250341121524
734425024253
oct7550736534
92601823707
101034141020
11490822500
1224a3b92a4
13136331c83
149b4b779a
1560bc724a
hex3da3bd5c

1034141020 has 72 divisors (see below), whose sum is σ = 2411275104. Its totient is φ = 372240000.

The previous prime is 1034140993. The next prime is 1034141021. The reversal of 1034141020 is 201414301.

It is a junction number, because it is equal to n+sod(n) for n = 1034140985 and 1034141003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034141021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242305 + ... + 246535.

It is an arithmetic number, because the mean of its divisors is an integer number (33489932).

Almost surely, 21034141020 is an apocalyptic number.

1034141020 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 1034141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205637552).

1034141020 is an abundant number, since it is smaller than the sum of its proper divisors (1377134084).

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

1034141020 is a wasteful number, since it uses less digits than its factorization.

1034141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1034141020 is about 32158.0630635615. The cubic root of 1034141020 is about 1011.2532298008.

Adding to 1034141020 its reverse (201414301), we get a palindrome (1235555321).

The spelling of 1034141020 in words is "one billion, thirty-four million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4231 4444 5555 8462 11110 12221 16924 21155 22220 24442 42310 46541 48884 61105 84620 93082 122210 186164 232705 244420 427331 465410 511951 854662 930820 1023902 1709324 2047804 2136655 2559755 4273310 4700641 5119510 8546620 9401282 10239020 18802564 23503205 47006410 51707051 94012820 103414102 206828204 258535255 517070510 1034141020