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1211100033114 = 2331979143310427
BaseRepresentation
bin10001100111111011001…
…011111111000001011010
311021210001122101012212000
4101213323023333001122
5124320313102024424
62324212140501430
7153333121266426
oct21477313770132
94253048335760
101211100033114
11427696439284
12176876b4a876
138a28b167c3a
14428907d7b86
15217844393c9
hex119fb2ff05a

1211100033114 has 128 divisors (see below), whose sum is σ = 2871120384000. Its totient is φ = 377311768704.

The previous prime is 1211100033097. The next prime is 1211100033119. The reversal of 1211100033114 is 4113300011121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1211100033119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116145169 + ... + 116155595.

It is an arithmetic number, because the mean of its divisors is an integer number (22430628000).

Almost surely, 21211100033114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211100033114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435560192000).

1211100033114 is an abundant number, since it is smaller than the sum of its proper divisors (1660020350886).

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

1211100033114 is a wasteful number, since it uses less digits than its factorization.

1211100033114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1211100033114 its reverse (4113300011121), we get a palindrome (5324400044235).

The spelling of 1211100033114 in words is "one trillion, two hundred eleven billion, one hundred million, thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 158 171 237 342 474 513 711 1026 1422 1433 1501 2133 2866 3002 4266 4299 4503 8598 9006 10427 12897 13509 20854 25794 27018 27227 31281 38691 40527 54454 62562 77382 81054 81681 93843 113207 163362 187686 198113 226414 245043 281529 339621 396226 490086 563058 594339 679242 735129 823733 1018863 1188678 1470258 1647466 1783017 2037726 2150933 2471199 3056589 3566034 4301866 4942398 5349051 6113178 6452799 7413597 10698102 12905598 14827194 14941891 15650927 19358397 22240791 29883782 31301854 38716794 44481582 44825673 46952781 58075191 89651346 93905562 116150382 134477019 140858343 268954038 281716686 283895929 403431057 422575029 567791858 806862114 845150058 851687787 1180409389 1703375574 2360818778 2555063361 3541228167 5110126722 7082456334 7665190083 10623684501 15330380166 21247369002 22427778391 31871053503 44855556782 63742107006 67283335173 134566670346 201850005519 403700011038 605550016557 1211100033114