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2104430210100 = 2232524157030629
BaseRepresentation
bin11110100111111001110…
…100001010110000110100
321110011220100201011222100
4132213321310022300310
5233434333113210400
64250432322502100
7305016512434011
oct36477164126064
97404810634870
102104430210100
11741535a9a349
1229ba29504930
131235a6b535ba
1473bd8050708
1539b1b11c100
hex1e9f9d0ac34

2104430210100 has 108 divisors (see below), whose sum is σ = 6757103103660. Its totient is φ = 547494028800.

The previous prime is 2104430210053. The next prime is 2104430210123. The reversal of 2104430210100 is 10120344012.

2104430210100 is a `hidden beast` number, since 2 + 1 + 0 + 443 + 0 + 210 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 356101014564 + 1748329195536 = 596742^2 + 1322244^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28478415 + ... + 28552214.

Almost surely, 22104430210100 is an apocalyptic number.

2104430210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104430210100 is an abundant number, since it is smaller than the sum of its proper divisors (4652672893560).

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

2104430210100 is a wasteful number, since it uses less digits than its factorization.

2104430210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57030690 (or 57030680 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2104430210100 its reverse (10120344012), we get a palindrome (2114550554112).

The spelling of 2104430210100 in words is "two trillion, one hundred four billion, four hundred thirty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 57030629 114061258 171091887 228122516 285153145 342183774 513275661 570306290 684367548 855459435 1026551322 1140612580 1425765725 1710918870 2053102644 2338255789 2566378305 2851531450 3421837740 4277297175 4676511578 5132756610 5703062900 7014767367 8554594350 9353023156 10265513220 11691278945 12831891525 14029534734 17109188700 21044302101 23382557890 25663783050 28059069468 35073836835 42088604202 46765115780 51327566100 58456394725 70147673670 84177208404 105221510505 116912789450 140295347340 175369184175 210443021010 233825578900 350738368350 420886042020 526107552525 701476736700 1052215105050 2104430210100