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1221113310100 = 2252163277270451
BaseRepresentation
bin10001110001010000000…
…001100110101110010100
311022201220111010101120121
4101301100001212232110
5130001320001410400
62332545520041324
7154136216606665
oct21612001465624
94281814111517
101221113310100
114309646a1502
121787b0463244
138b1c58236c8
144316061536c
1521b6d56b21a
hex11c50066b94

1221113310100 has 72 divisors (see below), whose sum is σ = 2675707125728. Its totient is φ = 483694416000.

The previous prime is 1221113310091. The next prime is 1221113310113. The reversal of 1221113310100 is 10133111221.

It is a happy number.

It is a super-2 number, since 2×12211133101002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4379875 + ... + 4650325.

Almost surely, 21221113310100 is an apocalyptic number.

1221113310100 is a gapful number since it is divisible by the number (10) 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 1221113310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337853562864).

1221113310100 is an abundant number, since it is smaller than the sum of its proper divisors (1454593815628).

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

1221113310100 is a wasteful number, since it uses less digits than its factorization.

1221113310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270905 (or 270898 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1221113310100 its reverse (10133111221), we get a palindrome (1231246421321).

The spelling of 1221113310100 in words is "one trillion, two hundred twenty-one billion, one hundred thirteen million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 277 326 554 652 815 1108 1385 1630 2770 3260 4075 5540 6925 8150 13850 16300 27700 45151 90302 180604 225755 270451 451510 540902 903020 1081804 1128775 1352255 2257550 2704510 4515100 5409020 6761275 13522550 27045100 44083513 74914927 88167026 149829854 176334052 220417565 299659708 374574635 440835130 749149270 881670260 1102087825 1498298540 1872873175 2204175650 3745746350 4408351300 7491492700 12211133101 24422266202 48844532404 61055665505 122111331010 244222662020 305278327525 610556655050 1221113310100