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21121020212100 = 22352208940278369
BaseRepresentation
bin1001100110101100111101…
…11010000011001110000100
32202210011001012202200112120
410303112132322003032010
510232021322133241400
6112530510203445540
74306641366425424
oct463263672031604
982704035680476
1021121020212100
116803413316546
12245148ab268b0
13ba291bc2c923
145303972da484
15269615e27ca0
hex13359ee83384

21121020212100 has 144 divisors (see below), whose sum is σ = 61161894763200. Its totient is φ = 5627505438720.

The previous prime is 21121020212069. The next prime is 21121020212137. The reversal of 21121020212100 is 121202012112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21121020212100.

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, 2523716716 + ... + 2523725084.

It is an arithmetic number, because the mean of its divisors is an integer number (424735380300).

Almost surely, 221121020212100 is an apocalyptic number.

21121020212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121020212100 is an abundant number, since it is smaller than the sum of its proper divisors (40040874551100).

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

21121020212100 is a wasteful number, since it uses less digits than its factorization.

21121020212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21121020212100 its reverse (121202012112), we get a palindrome (21242222224212).

The spelling of 21121020212100 in words is "twenty-one trillion, one hundred twenty-one billion, twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2089 4027 4178 6267 8054 8356 8369 10445 12081 12534 16108 16738 20135 20890 24162 25068 25107 31335 33476 40270 41780 41845 48324 50214 52225 60405 62670 80540 83690 100428 100675 104450 120810 125340 125535 156675 167380 201350 208900 209225 241620 251070 302025 313350 402700 418450 502140 604050 626700 627675 836900 1208100 1255350 2510700 8412403 16824806 17482841 25237209 33649612 33701963 34965682 42062015 50474418 52448523 67403926 69931364 84124030 87414205 100948836 101105889 104897046 126186045 134807852 168248060 168509815 174828410 202211778 209794092 210310075 252372090 262242615 337019630 349656820 404423556 420620150 437071025 504744180 505529445 524485230 630930225 674039260 841240300 842549075 874142050 1011058890 1048970460 1261860450 1311213075 1685098150 1748284100 2022117780 2523720900 2527647225 2622426150 3370196300 5055294450 5244852300 10110588900 70403400707 140806801414 211210202121 281613602828 352017003535 422420404242 704034007070 844840808484 1056051010605 1408068014140 1760085017675 2112102021210 3520170035350 4224204042420 5280255053025 7040340070700 10560510106050 21121020212100