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2101012000020 = 223356758071089
BaseRepresentation
bin11110100100101110000…
…100101110110100010100
321102212002010202010021000
4132210232010232310110
5233410333033000040
64245105214423300
7304536015223653
oct36445604566424
97385063663230
102101012000020
1174004155653a
1229b234801b30
13123180922c9b
14739920a319a
15399baeb9130
hex1e92e12ed14

2101012000020 has 96 divisors (see below), whose sum is σ = 6634041321600. Its totient is φ = 551907620352.

The previous prime is 2101012000019. The next prime is 2101012000091. The reversal of 2101012000020 is 200002101012.

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 = 2101011999966 and 2101012000011.

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, 28999365 + ... + 29071724.

It is an arithmetic number, because the mean of its divisors is an integer number (69104597100).

Almost surely, 22101012000020 is an apocalyptic number.

2101012000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101012000020 is an abundant number, since it is smaller than the sum of its proper divisors (4533029321580).

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

2101012000020 is a wasteful number, since it uses less digits than its factorization.

2101012000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58071174 (or 58071166 counting only the distinct ones).

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

Adding to 2101012000020 its reverse (200002101012), we get a palindrome (2301014101032).

The spelling of 2101012000020 in words is "two trillion, one hundred one billion, twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 36180 58071089 116142178 174213267 232284356 290355445 348426534 522639801 580710890 696853068 871066335 1045279602 1161421780 1567919403 1742132670 2090559204 2613199005 3135838806 3484265340 3890762963 5226398010 6271677612 7781525926 7839597015 10452796020 11672288889 15563051852 15679194030 19453814815 23344577778 31358388060 35016866667 38907629630 46689155556 58361444445 70033733334 77815259260 105050600001 116722888890 140067466668 175084333335 210101200002 233445777780 350168666670 420202400004 525253000005 700337333340 1050506000010 2101012000020