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211010110000020 = 22355151287534557
BaseRepresentation
bin101111111110100110011110…
…101001101000101110010100
31000200010100222101000221200000
4233332212132221220232110
5210124142201130000040
62024440412321251300
762305656143214642
oct5776463651505624
91020110871027600
10211010110000020
1161263981088981
121b7bb20aa93b30
139098225105766
143a16d2db94192
15195dccd0d4130
hexbfe99ea68b94

211010110000020 has 144 divisors (see below), whose sum is σ = 668165905051008. Its totient is φ = 55896717686400.

The previous prime is 211010110000009. The next prime is 211010110000043. The reversal of 211010110000020 is 20000011010112.

It is a happy number.

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 = 211010109999957 and 211010110000011.

It is a congruent number.

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, 143033419 + ... + 144501138.

Almost surely, 2211010110000020 is an apocalyptic number.

211010110000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010110000020 is an abundant number, since it is smaller than the sum of its proper divisors (457155795050988).

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

211010110000020 is a wasteful number, since it uses less digits than its factorization.

211010110000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287534732 (or 287534718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211010110000020 its reverse (20000011010112), we get a palindrome (231010121010132).

The spelling of 211010110000020 in words is "two hundred eleven trillion, ten billion, one hundred ten 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 81 90 108 135 151 162 180 243 270 302 324 405 453 486 540 604 755 810 906 972 1215 1359 1510 1620 1812 2265 2430 2718 3020 4077 4530 4860 5436 6795 8154 9060 12231 13590 16308 20385 24462 27180 36693 40770 48924 61155 73386 81540 122310 146772 183465 244620 366930 733860 287534557 575069114 862603671 1150138228 1437672785 1725207342 2587811013 2875345570 3450414684 4313018355 5175622026 5750691140 7763433039 8626036710 10351244052 12939055065 15526866078 17252073420 23290299117 25878110130 31053732156 38817165195 43417718107 46580598234 51756220260 69870897351 77634330390 86835436214 93161196468 116451495585 130253154321 139741794702 155268660780 173670872428 217088590535 232902991170 260506308642 279483589404 349354486755 390759462963 434177181070 465805982340 521012617284 651265771605 698708973510 781518925926 868354362140 1172278388889 1302531543210 1397417947020 1563037851852 1953797314815 2344556777778 2605063086420 3516835166667 3907594629630 4689113555556 5861391944445 7033670333334 7815189259260 10550505500001 11722783888890 14067340666668 17584175833335 21101011000002 23445567777780 35168351666670 42202022000004 52752527500005 70336703333340 105505055000010 211010110000020