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201030444020 = 22572416479209
BaseRepresentation
bin1011101100111001011…
…0010010001111110100
3201012220011020122221202
42323032112102033310
511243202243202040
6232204020032032
720344502402660
oct2731626221764
9635804218852
10201030444020
117829049902a
1232b64832618
1315c59958473
149a30cb58a0
155368b6b015
hex2ece5923f4

201030444020 has 96 divisors (see below), whose sum is σ = 485276520960. Its totient is φ = 68525199360.

The previous prime is 201030444019. The next prime is 201030444061. The reversal of 201030444020 is 20444030102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201030443983 and 201030444001.

It is a congruent number.

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, 21825176 + ... + 21834384.

It is an arithmetic number, because the mean of its divisors is an integer number (5054963760).

Almost surely, 2201030444020 is an apocalyptic number.

201030444020 is a gapful number since it is divisible by the number (20) 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 201030444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242638260480).

201030444020 is an abundant number, since it is smaller than the sum of its proper divisors (284246076940).

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

201030444020 is a wasteful number, since it uses less digits than its factorization.

201030444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 201030444020 its reverse (20444030102), we get a palindrome (221474474122).

The spelling of 201030444020 in words is "two hundred one billion, thirty million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 647 964 1205 1294 1687 2410 2588 3235 3374 4529 4820 6470 6748 8435 9058 9209 12940 16870 18116 18418 22645 33740 36836 45290 46045 64463 90580 92090 128926 155927 184180 257852 311854 322315 623708 644630 779635 1091489 1289260 1559270 2182978 2219369 3118540 4365956 4438738 5457445 5958223 8877476 10914890 11096845 11916446 15535583 21829780 22193690 23832892 29791115 31071166 41707561 44387380 59582230 62142332 77677915 83415122 119164460 155355830 166830244 208537805 310711660 417075610 834151220 1435931743 2871863486 5743726972 7179658715 10051522201 14359317430 20103044402 28718634860 40206088804 50257611005 100515222010 201030444020