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211000020001020 = 223251971868956511
BaseRepresentation
bin101111111110011101000101…
…001111010110000011111100
31000200002101221011220220010100
4233332131011033112003330
5210124011020110013040
62024432023201441100
762305151123513145
oct5776350517260374
91020071834826110
10211000020001020
116125a673593328
121b7b9273940190
1390972a7896953
143a16653ac4acc
15195d8dc399b30
hexbfe7453d60fc

211000020001020 has 144 divisors (see below), whose sum is σ = 683208367994880. Its totient is φ = 52554489724800.

The previous prime is 211000020000943. The next prime is 211000020001051. The reversal of 211000020001020 is 20100020000112.

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 = 211000020000993 and 211000020001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434235436 + ... + 434721075.

It is an arithmetic number, because the mean of its divisors is an integer number (4744502555520).

Almost surely, 2211000020001020 is an apocalyptic number.

211000020001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000020001020 is an abundant number, since it is smaller than the sum of its proper divisors (472208347993860).

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

211000020001020 is a wasteful number, since it uses less digits than its factorization.

211000020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868956616 (or 868956611 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211000020001020 its reverse (20100020000112), we get a palindrome (231100040001132).

The spelling of 211000020001020 in words is "two hundred eleven trillion, twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 71 76 90 95 114 142 171 180 190 213 228 284 285 342 355 380 426 570 639 684 710 852 855 1065 1140 1278 1349 1420 1710 2130 2556 2698 3195 3420 4047 4260 5396 6390 6745 8094 12141 12780 13490 16188 20235 24282 26980 40470 48564 60705 80940 121410 242820 868956511 1737913022 2606869533 3475826044 4344782555 5213739066 7820608599 8689565110 10427478132 13034347665 15641217198 16510173709 17379130220 26068695330 31282434396 33020347418 39103042995 49530521127 52137390660 61695912281 66040694836 78206085990 82550868545 99061042254 123391824562 148591563381 156412171980 165101737090 185087736843 198122084508 246783649124 247652605635 297183126762 308479561405 330203474180 370175473686 495305211270 555263210529 594366253524 616959122810 740350947372 742957816905 925438684215 990610422540 1110526421058 1172222333339 1233918245620 1485915633810 1850877368430 2221052842116 2344444666678 2776316052645 2971831267620 3516667000017 3701754736860 4688889333356 5552632105290 5861111666695 7033334000034 10550001000051 11105264210580 11722223333390 14066668000068 17583335000085 21100002000102 23444446666780 35166670000170 42200004000204 52750005000255 70333340000340 105500010000510 211000020001020