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1102311300213 = 321752154125561
BaseRepresentation
bin10000000010100110110…
…111111001110001110101
310220101020222011222120100
4100002212313321301311
5121030013143101323
62202221140424313
7142432205312064
oct20024667716165
93811228158510
101102311300213
1139553aaa0062
121597759a8099
137cc418a8a36
143b4d04381db
151da18855943
hex100a6df9c75

1102311300213 has 48 divisors (see below), whose sum is σ = 1692312169392. Its totient is φ = 689015808000.

The previous prime is 1102311300197. The next prime is 1102311300253. The reversal of 1102311300213 is 3120031132011.

1102311300213 is a `hidden beast` number, since 110 + 2 + 311 + 30 + 0 + 213 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27238861764 + 1075072438449 = 165042^2 + 1036857^2 .

It is not a de Polignac number, because 1102311300213 - 24 = 1102311300197 is a prime.

It is a super-2 number, since 2×11023113002132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102311300253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43111953 + ... + 43137513.

It is an arithmetic number, because the mean of its divisors is an integer number (35256503529).

Almost surely, 21102311300213 is an apocalyptic number.

It is an amenable number.

1102311300213 is a deficient number, since it is larger than the sum of its proper divisors (590000869179).

1102311300213 is a wasteful number, since it uses less digits than its factorization.

1102311300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26646 (or 26643 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1102311300213 its reverse (3120031132011), we get a palindrome (4222342432224).

The spelling of 1102311300213 in words is "one trillion, one hundred two billion, three hundred eleven million, three hundred thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 521 541 1563 1623 4689 4869 8857 9197 25561 26571 27591 76683 79713 82773 230049 281861 434537 845583 1303611 2536749 3910833 4791637 13317281 13828501 14374911 39951843 41485503 43124733 119855529 124456509 226393777 235084517 679181331 705253551 2037543993 2115760653 7204649021 21613947063 64841841189 122479033357 367437100071 1102311300213