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2212001211100 = 22521723128943889
BaseRepresentation
bin100000001100000101100…
…010111110001011011100
321211110120011112020010111
4200030011202332023130
5242220134302223400
64412102422415404
7315545311031512
oct40140542761334
97743504466114
102212001211100
1178311702056a
122b884a891564
1313078b050395
14790c07c64b2
153c814d613ba
hex203058be2dc

2212001211100 has 144 divisors (see below), whose sum is σ = 5307607166400. Its totient is φ = 795910635520.

The previous prime is 2212001211089. The next prime is 2212001211139. The reversal of 2212001211100 is 11121002122.

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, 50377956 + ... + 50421844.

It is an arithmetic number, because the mean of its divisors is an integer number (36858383100).

Almost surely, 22212001211100 is an apocalyptic number.

2212001211100 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 2212001211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653803583200).

2212001211100 is an abundant number, since it is smaller than the sum of its proper divisors (3095605955300).

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

2212001211100 is a wasteful number, since it uses less digits than its factorization.

2212001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45232 (or 45225 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2212001211100 its reverse (11121002122), we get a palindrome (2223122213222).

The spelling of 2212001211100 in words is "two trillion, two hundred twelve billion, one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 575 782 850 1150 1289 1564 1700 1955 2300 2578 3910 5156 6445 7820 9775 12890 19550 21913 25780 29647 32225 39100 43826 43889 59294 64450 87652 87778 109565 118588 128900 148235 175556 219130 219445 296470 438260 438890 503999 547825 592940 741175 746113 877780 1007998 1009447 1095650 1097225 1482350 1492226 2015996 2018894 2191300 2194450 2519995 2964700 2984452 3730565 4037788 4388900 5039990 5047235 7461130 10079980 10094470 12599975 14922260 17160599 18652825 20188940 25199950 25236175 34321198 37305650 50399900 50472350 56572921 68642396 74611300 85802995 100944700 113145842 171605990 226291684 282864605 343211980 429014975 565729210 858029950 961739657 1131458420 1301177183 1414323025 1716059900 1923479314 2602354366 2828646050 3846958628 4808698285 5204708732 5657292100 6505885915 9617396570 13011771830 19234793140 22120012111 24043491425 26023543660 32529429575 44240024222 48086982850 65058859150 88480048444 96173965700 110600060555 130117718300 221200121110 442400242220 553000302775 1106000605550 2212001211100