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2101020000100 = 2252717916767917
BaseRepresentation
bin11110100100101110100…
…011001111111101100100
321102212002200210120022021
4132210232203033331210
5233410342110000400
64245110102112524
7304536143223550
oct36445643177544
97385080716267
102101020000100
1174004602007a
1229b23741b744
13123182494468
1473993186860
15399bba4971a
hex1e92e8cff64

2101020000100 has 72 divisors (see below), whose sum is σ = 5239639016640. Its totient is φ = 716325371520.

The previous prime is 2101020000049. The next prime is 2101020000113. The reversal of 2101020000100 is 10000201012.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 8258659 + ... + 8509258.

It is an arithmetic number, because the mean of its divisors is an integer number (72772764120).

Almost surely, 22101020000100 is an apocalyptic number.

2101020000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101020000100 is an abundant number, since it is smaller than the sum of its proper divisors (3138619016540).

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

2101020000100 is a wasteful number, since it uses less digits than its factorization.

2101020000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16768117 (or 16768110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2101020000100 its reverse (10000201012), we get a palindrome (2111020201112).

The spelling of 2101020000100 in words is "two trillion, one hundred one billion, twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 700 716 895 1253 1790 2506 3580 4475 5012 6265 8950 12530 17900 25060 31325 62650 125300 16767917 33535834 67071668 83839585 117375419 167679170 234750838 335358340 419197925 469501676 586877095 838395850 1173754190 1676791700 2347508380 2934385475 3001457143 5868770950 6002914286 11737541900 12005828572 15007285715 21010200001 30014571430 42020400002 60029142860 75036428575 84040800004 105051000005 150072857150 210102000010 300145714300 420204000020 525255000025 1050510000050 2101020000100