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200211001020 = 22335929399097
BaseRepresentation
bin1011101001110110000…
…0010110111010111100
3201010210001022122111000
42322131200112322330
511240013004013040
6231550424330300
720315262300222
oct2723540267274
9633701278430
10200211001020
11779aa988408
1232976313990
1315b58c58854
149994128b12
15531bc53130
hex2e9d816ebc

200211001020 has 96 divisors (see below), whose sum is σ = 623550715200. Its totient is φ = 53331996672.

The previous prime is 200211000989. The next prime is 200211001031. The reversal of 200211001020 is 20100112002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200211000993 and 200211001011.

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, 302112 + ... + 701208.

It is an arithmetic number, because the mean of its divisors is an integer number (6495319950).

Almost surely, 2200211001020 is an apocalyptic number.

200211001020 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 200211001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311775357600).

200211001020 is an abundant number, since it is smaller than the sum of its proper divisors (423339714180).

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

200211001020 is a wasteful number, since it uses less digits than its factorization.

200211001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400044 (or 400036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200211001020 its reverse (20100112002), we get a palindrome (220311113022).

The spelling of 200211001020 in words is "two hundred billion, two hundred eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 929 1858 2787 3716 4645 5574 8361 9290 11148 13935 16722 18580 25083 27870 33444 41805 50166 55740 83610 100332 125415 167220 250830 399097 501660 798194 1197291 1596388 1995485 2394582 3591873 3990970 4789164 5986455 7183746 7981940 10775619 11972910 14367492 17959365 21551238 23945820 35918730 43102476 53878095 71837460 107756190 215512380 370761113 741522226 1112283339 1483044452 1853805565 2224566678 3336850017 3707611130 4449133356 5561416695 6673700034 7415222260 10010550051 11122833390 13347400068 16684250085 20021100102 22245666780 33368500170 40042200204 50052750255 66737000340 100105500510 200211001020