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2020010100 = 22352101163409
BaseRepresentation
bin111100001100110…
…1110100001110100
312012210000010220220
41320121232201310
513114110310400
6532235454340
7101025542163
oct17031564164
95183003826
102020010100
11947274539
124845b73b0
13262662264
141523c73da
15bc5167a0
hex7866e874

2020010100 has 144 divisors (see below), whose sum is σ = 5953160640. Its totient is φ = 528768000.

The previous prime is 2020010089. The next prime is 2020010119. The reversal of 2020010100 is 10100202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4938696 + ... + 4939104.

Almost surely, 22020010100 is an apocalyptic number.

2020010100 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 2020010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976580320).

2020010100 is an abundant number, since it is smaller than the sum of its proper divisors (3933150540).

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

2020010100 is a wasteful number, since it uses less digits than its factorization.

2020010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2020010100 is about 44944.5224693733. The cubic root of 2020010100 is about 1264.1089717045.

Adding to 2020010100 its reverse (10100202), we get a palindrome (2030110302).

The spelling of 2020010100 in words is "two billion, twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 163 202 300 303 326 404 409 489 505 606 652 815 818 978 1010 1212 1227 1515 1630 1636 1956 2020 2045 2445 2454 2525 3030 3260 4075 4090 4890 4908 5050 6060 6135 7575 8150 8180 9780 10100 10225 12225 12270 15150 16300 16463 20450 24450 24540 30300 30675 32926 40900 41309 48900 49389 61350 65852 66667 82315 82618 98778 122700 123927 133334 164630 165236 197556 200001 206545 246945 247854 266668 329260 333335 400002 411575 413090 493890 495708 619635 666670 800004 823150 826180 987780 1000005 1032725 1234725 1239270 1333340 1646300 1666675 2000010 2065450 2469450 2478540 3098175 3333350 4000020 4130900 4938900 5000025 6196350 6666700 6733367 10000050 12392700 13466734 20000100 20200101 26933468 33666835 40400202 67333670 80800404 101000505 134667340 168334175 202001010 336668350 404002020 505002525 673336700 1010005050 2020010100