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211002102212100 = 223521405575003951
BaseRepresentation
bin101111111110011111000001…
…010110010110011000000100
31000200002121022021222011202020
4233332133001112112120010
5210124024301131241400
62024433005542443140
762305253536150323
oct5776370126263004
91020077267864666
10211002102212100
1161260541981331
121b7b97551334b0
13909754a096904
143a167b04600ba
15195d9b009b2a0
hexbfe7c1596604

211002102212100 has 72 divisors (see below), whose sum is σ = 610503881167488. Its totient is φ = 56266815696000.

The previous prime is 211002102212087. The next prime is 211002102212117. The reversal of 211002102212100 is 1212201200112.

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 211002102212100.

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, 39665125 + ... + 44669075.

Almost surely, 2211002102212100 is an apocalyptic number.

211002102212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002102212100 is an abundant number, since it is smaller than the sum of its proper divisors (399501778955388).

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

211002102212100 is a wasteful number, since it uses less digits than its factorization.

211002102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144525 (or 5144518 counting only the distinct ones).

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

Adding to 211002102212100 its reverse (1212201200112), we get a palindrome (212214303412212).

The spelling of 211002102212100 in words is "two hundred eleven trillion, two billion, one hundred two 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 140557 281114 421671 562228 702785 843342 1405570 1686684 2108355 2811140 3513925 4216710 5003951 7027850 8433420 10007902 10541775 14055700 15011853 20015804 21083550 25019755 30023706 42167100 50039510 60047412 75059265 100079020 125098775 150118530 250197550 300237060 375296325 500395100 750592650 1501185300 703340340707 1406680681414 2110021022121 2813361362828 3516701703535 4220042044242 7033403407070 8440084088484 10550105110605 14066806814140 17583508517675 21100210221210 35167017035350 42200420442420 52750525553025 70334034070700 105501051106050 211002102212100