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211010312113300 = 225271944935335049
BaseRepresentation
bin101111111110100110101010…
…101100101000110010010100
31000200010101111110100100222001
4233332212222230220302110
5210124143104400111200
62024440444341245044
762305664146153330
oct5776465254506224
91020111443310861
10211010312113300
1161263a75184647
121b7bb266703784
139098257c4c90b
143a16d4c9667c0
15195dce0c0976a
hexbfe9aab28c94

211010312113300 has 144 divisors (see below), whose sum is σ = 552074821200000. Its totient is φ = 68386038497280.

The previous prime is 211010312113273. The next prime is 211010312113331. The reversal of 211010312113300 is 3311213010112.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 11695825 + ... + 23639224.

It is an arithmetic number, because the mean of its divisors is an integer number (3833852925000).

Almost surely, 2211010312113300 is an apocalyptic number.

211010312113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010312113300 is an abundant number, since it is smaller than the sum of its proper divisors (341064509086700).

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

211010312113300 is a wasteful number, since it uses less digits than its factorization.

211010312113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35335538 (or 35335531 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211010312113300 its reverse (3311213010112), we get a palindrome (214321525123412).

The spelling of 211010312113300 in words is "two hundred eleven trillion, ten billion, three hundred twelve million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 449 475 532 665 700 898 950 1330 1796 1900 2245 2660 3143 3325 4490 6286 6650 8531 8980 11225 12572 13300 15715 17062 22450 31430 34124 42655 44900 59717 62860 78575 85310 119434 157150 170620 213275 238868 298585 314300 426550 597170 853100 1194340 1492925 2985850 5971700 35335049 70670098 141340196 176675245 247345343 353350490 494690686 671365931 706700980 883376225 989381372 1236726715 1342731862 1766752450 2473453430 2685463724 3356829655 3533504900 4699561517 4946906860 6183633575 6713659310 9399123034 12367267150 13427318620 15865437001 16784148275 18798246068 23497807585 24734534300 31730874002 33568296550 46995615170 63461748004 67136593100 79327185005 93991230340 111058059007 117489037925 158654370010 222116118014 234978075850 301443303019 317308740020 396635925025 444232236028 469956151700 555290295035 602886606038 793271850050 1110580590070 1205773212076 1507216515095 1586543700100 2110103121133 2221161180140 2776451475175 3014433030190 4220206242266 5552902950350 6028866060380 7536082575475 8440412484532 10550515605665 11105805900700 15072165150950 21101031211330 30144330301900 42202062422660 52752578028325 105505156056650 211010312113300