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1010055020 = 22513311131109
BaseRepresentation
bin111100001101000…
…011011101101100
32121101121010000012
4330031003131230
54032033230040
6244120552352
734013216552
oct7415033554
92541533005
101010055020
11479171317
122423226b8
1313134aac0
1498207bd2
155da1a865
hex3c34376c

1010055020 has 96 divisors (see below), whose sum is σ = 2380976640. Its totient is φ = 357396480.

The previous prime is 1010055001. The next prime is 1010055031. The reversal of 1010055020 is 205500101.

It is a super-2 number, since 2×10100550202 = 2040422286854400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010054986 and 1010055004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910226 + ... + 911334.

It is an arithmetic number, because the mean of its divisors is an integer number (24801840).

Almost surely, 21010055020 is an apocalyptic number.

1010055020 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 1010055020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190488320).

1010055020 is an abundant number, since it is smaller than the sum of its proper divisors (1370921620).

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

1010055020 is a wasteful number, since it uses less digits than its factorization.

1010055020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1010055020 is about 31781.3627775777. The cubic root of 1010055020 is about 1003.3405019545.

Adding to 1010055020 its reverse (205500101), we get a palindrome (1215555121).

The spelling of 1010055020 in words is "one billion, ten million, fifty-five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 113 124 130 155 226 260 310 403 452 565 620 806 1109 1130 1469 1612 2015 2218 2260 2938 3503 4030 4436 5545 5876 7006 7345 8060 11090 14012 14417 14690 17515 22180 28834 29380 34379 35030 45539 57668 68758 70060 72085 91078 125317 137516 144170 171895 182156 227695 250634 288340 343790 446927 455390 501268 626585 687580 893854 910780 1253170 1629121 1787708 2234635 2506340 3258242 3884827 4469270 6516484 7769654 8145605 8938540 15539308 16291210 19424135 32582420 38848270 50502751 77696540 101005502 202011004 252513755 505027510 1010055020