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11102021100012 = 22327740943118947
BaseRepresentation
bin1010000110001110010000…
…0001100010000111101100
31110022100020221100112120010
42201203210001202013230
52423343414400200022
635340110441453220
72224044301213563
oct241434401420754
943270227315503
1011102021100012
1135a03825333a7
1212b37904a1210
13626bba887b5b
142a54aabc4bda
15143bc807350c
hexa18e40621ec

11102021100012 has 96 divisors (see below), whose sum is σ = 26123647011840. Its totient is φ = 3669570408960.

The previous prime is 11102021100007. The next prime is 11102021100013. The reversal of 11102021100012 is 21000112020111.

It is a super-2 number, since 2×111020211000122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11102021100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585941923 + ... + 585960869.

It is an arithmetic number, because the mean of its divisors is an integer number (272121323040).

Almost surely, 211102021100012 is an apocalyptic number.

11102021100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102021100012 is an abundant number, since it is smaller than the sum of its proper divisors (15021625911828).

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

11102021100012 is a wasteful number, since it uses less digits than its factorization.

11102021100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102021100012 its reverse (21000112020111), we get a palindrome (32102133120123).

The spelling of 11102021100012 in words is "eleven trillion, one hundred two billion, twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 277 409 431 554 818 831 862 1108 1227 1293 1636 1662 1724 2454 2586 3324 4908 5172 18947 37894 56841 75788 113293 113682 119387 176279 226586 227364 238774 339879 352558 358161 453172 477548 528837 679758 705116 716322 1057674 1359516 1432644 2115348 5248319 7749323 8166157 10496638 15498646 15744957 16332314 20993276 23247969 24498471 30997292 31489914 32664628 46495938 48829283 48996942 62979828 92991876 97658566 97993884 146487849 195317132 292975698 585951396 2146562471 2262025489 3339958213 4293124942 4524050978 6439687413 6679916426 6786076467 8586249884 9048101956 10019874639 12879374826 13359832852 13572152934 20039749278 25758749652 27144305868 40079498556 925168425001 1850336850002 2775505275003 3700673700004 5551010550006 11102021100012