Search a number
-
+
221000211111000 = 2335395377299829
BaseRepresentation
bin110010001111111110011111…
…000101000001110001011000
31001222111102011200202112120010
4302033332133011001301120
5212431331413021023000
62102010032335001520
764356511152450426
oct6217763705016130
91058442150675503
10221000211111000
1164465732788082
12209533a36692a0
1396412cc4b5ba9
143c80678360116
151a83ac8e8cd50
hexc8ff9f141c58

221000211111000 has 128 divisors (see below), whose sum is σ = 690244193995200. Its totient is φ = 58871549004800.

The previous prime is 221000211110971. The next prime is 221000211111037. The reversal of 221000211111000 is 111112000122.

It is a super-2 number, since 2×2210002111110002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 35790915 + ... + 41508914.

Almost surely, 2221000211111000 is an apocalyptic number.

221000211111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000211111000 is an abundant number, since it is smaller than the sum of its proper divisors (469243982884200).

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

221000211111000 is a wasteful number, since it uses less digits than its factorization.

221000211111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77300806 (or 77300792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221000211111000 its reverse (111112000122), we get a palindrome (221111323111122).

The spelling of 221000211111000 in words is "two hundred twenty-one trillion, two hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 953 1000 1500 1906 2859 3000 3812 4765 5718 7624 9530 11436 14295 19060 22872 23825 28590 38120 47650 57180 71475 95300 114360 119125 142950 190600 238250 285900 357375 476500 571800 714750 953000 1429500 2859000 77299829 154599658 231899487 309199316 386499145 463798974 618398632 772998290 927597948 1159497435 1545996580 1855195896 1932495725 2318994870 3091993160 3864991450 4637989740 5797487175 7729982900 9275979480 9662478625 11594974350 15459965800 19324957250 23189948700 28987435875 38649914500 46379897400 57974871750 73666737037 77299829000 115949743500 147333474074 221000211111 231899487000 294666948148 368333685185 442000422222 589333896296 736667370370 884000844444 1105001055555 1473334740740 1768001688888 1841668425925 2210002111110 2946669481480 3683336851850 4420004222220 5525005277775 7366673703700 8840008444440 9208342129625 11050010555550 14733347407400 18416684259250 22100021111100 27625026388875 36833368518500 44200042222200 55250052777750 73666737037000 110500105555500 221000211111000