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201020120021000 = 2353724102451429
BaseRepresentation
bin101101101101001110100100…
…110110001011100000001000
3222100202100001210102110011102
4231231032210312023200020
5202322003201211133000
61551311211313520532
760225136653400100
oct5555164466134010
9870670053373142
10201020120021000
1159062177193875
121a667067573148
138822167a65997
14378d5d6276200
151838edbd7d3d5
hexb6d3a4d8b808

201020120021000 has 96 divisors (see below), whose sum is σ = 547184971733400. Its totient is φ = 68921183990400.

The previous prime is 201020120020981. The next prime is 201020120021011. The reversal of 201020120021000 is 120021020102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46532671248196 + 154487448772804 = 6821486^2 + 12429298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2051176715 + ... + 2051274714.

Almost surely, 2201020120021000 is an apocalyptic number.

201020120021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020120021000 is an abundant number, since it is smaller than the sum of its proper divisors (346164851712400).

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

201020120021000 is a wasteful number, since it uses less digits than its factorization.

201020120021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102451464 (or 4102451443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201020120021000 its reverse (120021020102), we get a palindrome (201140141041102).

The spelling of 201020120021000 in words is "two hundred one trillion, twenty billion, one hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 4102451429 8204902858 16409805716 20512257145 28717160003 32819611432 41024514290 57434320006 82049028580 102561285725 114868640012 143585800015 164098057160 201020120021 205122571450 229737280024 287171600030 402040240042 410245142900 512806428625 574343200060 717929000075 804080480084 820490285800 1005100600105 1025612857250 1148686400120 1435858000150 1608160960168 2010201200210 2051225714500 2871716000300 3589645000375 4020402400420 4102451429000 5025503000525 5743432000600 7179290000750 8040804800840 10051006001050 14358580001500 20102012002100 25127515002625 28717160003000 40204024004200 50255030005250 100510060010500 201020120021000