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30211133221100 = 22521322933360943
BaseRepresentation
bin1101101111010000100111…
…10111010010100011101100
310221222011012211002200012202
412313220103313102203230
512424434400101033400
6144130445240521032
76235453021223606
oct667502367224354
9127864184080182
1030211133221100
119698519112027
12347b153480178
1313b1b8915b700
14766325cda176
15375cda8554d5
hex1b7a13dd28ec

30211133221100 has 108 divisors (see below), whose sum is σ = 70992597495456. Its totient is φ = 11154316642560.

The previous prime is 30211133221099. The next prime is 30211133221103. The reversal of 30211133221100 is 112233111203.

It is a happy number.

It is a super-2 number, since 2×302111332211002 (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30211133221103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 495697229 + ... + 495758171.

Almost surely, 230211133221100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30211133221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35496298747728).

30211133221100 is an abundant number, since it is smaller than the sum of its proper divisors (40781464274356).

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

30211133221100 is a wasteful number, since it uses less digits than its factorization.

30211133221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90316 (or 90296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 30211133221100 its reverse (112233111203), we get a palindrome (30323366332303).

The spelling of 30211133221100 in words is "thirty trillion, two hundred eleven billion, one hundred thirty-three million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 29333 58666 60943 117332 121886 146665 243772 293330 304715 381329 586660 609430 733325 762658 792259 1218860 1466650 1523575 1525316 1584518 1906645 2933300 3047150 3169036 3813290 3961295 4957277 6094300 7626580 7922590 9533225 9914554 10299367 15845180 19066450 19806475 19829108 20598734 24786385 38132900 39612950 41197468 49572770 51496835 79225900 99145540 102993670 123931925 205987340 247863850 257484175 495727700 514968350 1029936700 1787641019 3575282038 7150564076 8938205095 17876410190 23239333247 35752820380 44691025475 46478666494 89382050950 92957332988 116196666235 178764101900 232393332470 302111332211 464786664940 580983331175 604222664422 1161966662350 1208445328844 1510556661055 2323933324700 3021113322110 6042226644220 7552783305275 15105566610550 30211133221100