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211012210233020 = 225783167108738913
BaseRepresentation
bin101111111110101000011011…
…110101011000111010111100
31000200010120101201222211201102
4233332220123311120322330
5210124211001304424040
62024441400544432232
762306062165002140
oct5776503365307274
91020116351884642
10211012210233020
1161264859666029
121b7bb6b6318678
13909849b275691
143a1708caa1220
15195dda2695515
hexbfea1bd58ebc

211012210233020 has 96 divisors (see below), whose sum is σ = 515599914267648. Its totient is φ = 71047395366912.

The previous prime is 211012210232983. The next prime is 211012210233043. The reversal of 211012210233020 is 20332012210112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211012210232983 and 211012210233001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52428917 + ... + 56309996.

It is an arithmetic number, because the mean of its divisors is an integer number (5370832440288).

Almost surely, 2211012210233020 is an apocalyptic number.

211012210233020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012210233020 is an abundant number, since it is smaller than the sum of its proper divisors (304587704034628).

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

211012210233020 is a wasteful number, since it uses less digits than its factorization.

211012210233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108739179 (or 108739177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211012210233020 its reverse (20332012210112), we get a palindrome (231344222443132).

The spelling of 211012210233020 in words is "two hundred eleven trillion, twelve billion, two hundred ten million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 167 332 334 415 581 668 830 835 1162 1169 1660 1670 2324 2338 2905 3340 4676 5810 5845 11620 11690 13861 23380 27722 55444 69305 97027 138610 194054 277220 388108 485135 970270 1940540 108738913 217477826 434955652 543694565 761172391 1087389130 1522344782 2174778260 3044689564 3805861955 7611723910 9025329779 15223447820 18050659558 18159398471 36101319116 36318796942 45126648895 63177308453 72637593884 90253297790 90796992355 126354616906 127115789297 180506595580 181593984710 252709233812 254231578594 315886542265 363187969420 508463157188 631773084530 635578946485 1263546169060 1271157892970 1507230073093 2542315785940 3014460146186 6028920292372 7536150365465 10550610511651 15072300730930 21101221023302 30144601461860 42202442046604 52753052558255 105506105116510 211012210233020