Search a number
-
+
22112121211000 = 2353433371525921
BaseRepresentation
bin1010000011100011000010…
…01000010100100001111000
32220021220020202011000110021
411001301201020110201320
510344241111012223000
6115010100201500224
74441355656056022
oct501614110244170
986256222130407
1022112121211000
117055774a64177
1225915887a1674
13c4521964b532
145663378dd012
152852c12b311a
hex141c61214878

22112121211000 has 128 divisors (see below), whose sum is σ = 53102818042560. Its totient is φ = 8613513216000.

The previous prime is 22112121210997. The next prime is 22112121211007. The reversal of 22112121211000 is 11212121122.

It is a super-2 number, since 2×221121212110002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112121211007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13728040 + ... + 15253960.

Almost surely, 222112121211000 is an apocalyptic number.

22112121211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26551409021280).

22112121211000 is an abundant number, since it is smaller than the sum of its proper divisors (30990696831560).

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

22112121211000 is a wasteful number, since it uses less digits than its factorization.

22112121211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526322 (or 1526308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22112121211000 its reverse (11212121122), we get a palindrome (22123333332122).

The spelling of 22112121211000 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 337 344 430 500 674 860 1000 1075 1348 1685 1720 2150 2696 3370 4300 5375 6740 8425 8600 10750 13480 14491 16850 21500 28982 33700 42125 43000 57964 67400 72455 84250 115928 144910 168500 289820 337000 362275 579640 724550 1449100 1525921 1811375 2898200 3051842 3622750 6103684 7245500 7629605 12207368 14491000 15259210 30518420 38148025 61036840 65614603 76296050 131229206 152592100 190740125 262458412 305184200 328073015 381480250 514235377 524916824 656146030 762960500 1028470754 1312292060 1525921000 1640365075 2056941508 2571176885 2624584120 3280730150 4113883016 5142353770 6561460300 8201825375 10284707540 12855884425 13122920600 16403650750 20569415080 22112121211 25711768850 32807301500 44224242422 51423537700 64279422125 65614603000 88448484844 102847075400 110560606055 128558844250 176896969688 221121212110 257117688500 442242424220 514235377000 552803030275 884484848440 1105606060550 2211212121100 2764015151375 4422424242200 5528030302750 11056060605500 22112121211000