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2021055000 = 23354672011
BaseRepresentation
bin111100001110110…
…1101101000011000
312012211222020020220
41320131231220120
513114342230000
6532314120040
7101040453426
oct17035555030
95184866226
102021055000
11947918598
12484a20020
13262939a43
141525ba116
15bc6711a0
hex7876da18

2021055000 has 160 divisors (see below), whose sum is σ = 6411197760. Its totient is φ = 530640000.

The previous prime is 2021054977. The next prime is 2021055017. The reversal of 2021055000 is 5501202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1003995 + ... + 1006005.

It is an arithmetic number, because the mean of its divisors is an integer number (40069986).

Almost surely, 22021055000 is an apocalyptic number.

2021055000 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 2021055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205598880).

2021055000 is an abundant number, since it is smaller than the sum of its proper divisors (4390142760).

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

2021055000 is a wasteful number, since it uses less digits than its factorization.

2021055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2021055000 is about 44956.1452973895. The cubic root of 2021055000 is about 1264.3268979713.

Adding to 2021055000 its reverse (5501202), we get a palindrome (2026556202).

The spelling of 2021055000 in words is "two billion, twenty-one million, fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 625 670 750 804 1000 1005 1250 1340 1500 1608 1675 1875 2010 2011 2500 2680 3000 3350 3750 4020 4022 5000 5025 6033 6700 7500 8040 8044 8375 10050 10055 12066 13400 15000 16088 16750 20100 20110 24132 25125 30165 33500 40200 40220 41875 48264 50250 50275 60330 67000 80440 83750 100500 100550 120660 125625 134737 150825 167500 201000 201100 241320 251250 251375 269474 301650 335000 402200 404211 502500 502750 538948 603300 673685 754125 808422 1005000 1005500 1077896 1206600 1256875 1347370 1508250 1616844 2011000 2021055 2513750 2694740 3016500 3233688 3368425 3770625 4042110 5027500 5389480 6033000 6736850 7541250 8084220 10055000 10105275 13473700 15082500 16168440 16842125 20210550 26947400 30165000 33684250 40421100 50526375 67368500 80842200 84210625 101052750 134737000 168421250 202105500 252631875 336842500 404211000 505263750 673685000 1010527500 2021055000