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11100120012212 = 22711196173074243
BaseRepresentation
bin1010000110000111001010…
…1101011101010110110100
31110022011100110010021100212
42201201302231131112310
52423331021210342322
635335154050524552
72223646215223550
oct241416255352664
943264313107325
1011100120012212
11359a597404a60
1212b333b896758
13626976a6312a
142a536a516860
15143b161ed0e2
hexa1872b5d5b4

11100120012212 has 96 divisors (see below), whose sum is σ = 25534424724480. Its totient is φ = 4090463435520.

The previous prime is 11100120012211. The next prime is 11100120012227. The reversal of 11100120012212 is 21221002100111.

11100120012212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100120012211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2073563 + ... + 5147805.

It is an arithmetic number, because the mean of its divisors is an integer number (265983590880).

Almost surely, 211100120012212 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 11100120012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767212362240).

11100120012212 is an abundant number, since it is smaller than the sum of its proper divisors (14434304712268).

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

11100120012212 is a wasteful number, since it uses less digits than its factorization.

11100120012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074901 (or 3074899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11100120012212 its reverse (21221002100111), we get a palindrome (32321122112323).

The spelling of 11100120012212 in words is "eleven trillion, one hundred billion, one hundred twenty million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 617 836 1234 1463 2468 2926 4319 5852 6787 8638 11723 13574 17276 23446 27148 46892 47509 82061 95018 128953 164122 190036 257906 328244 515812 902671 1805342 3074243 3610684 6148486 12296972 21519701 33816673 43039402 58410617 67633346 86078804 116821234 135266692 233642468 236716711 408874319 473433422 642516787 817748638 946866844 1285033574 1635497276 1896807931 2570067148 3793615862 4497617509 7587231724 8995235018 13277655517 17990470036 20864887241 26555311034 36039350689 41729774482 53110622068 72078701378 83459548964 144157402756 146054210687 252275454823 292108421374 396432857579 504550909646 584216842748 792865715158 1009101819292 1585731430316 2775030003053 5550060006106 11100120012212