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11020121002212 = 22372271093528763
BaseRepresentation
bin1010000001011101001001…
…1001011101000011100100
31110000111212011212111101120
42200113102121131003210
52421023201434032322
635234323530253540
72215114604654340
oct240272231350344
943014764774346
1011020121002212
113569675014763
12129b9342872b0
1361c267bb6b1a
142a153b958620
151419d2d77a5c
hexa05d265d0e4

11020121002212 has 96 divisors (see below), whose sum is σ = 29543508298752. Its totient is φ = 3131861556096.

The previous prime is 11020121002151. The next prime is 11020121002217. The reversal of 11020121002212 is 21220012102011.

It is a junction number, because it is equal to n+sod(n) for n = 11020121002191 and 11020121002200.

It is not an unprimeable number, because it can be changed into a prime (11020121002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20576943 + ... + 21105705.

It is an arithmetic number, because the mean of its divisors is an integer number (307744878112).

Almost surely, 211020121002212 is an apocalyptic number.

11020121002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11020121002212 is an abundant number, since it is smaller than the sum of its proper divisors (18523387296540).

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

11020121002212 is a wasteful number, since it uses less digits than its factorization.

11020121002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530097 (or 530095 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11020121002212 its reverse (21220012102011), we get a palindrome (32240133104223).

The spelling of 11020121002212 in words is "eleven trillion, twenty billion, one hundred twenty-one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 227 454 681 908 1093 1362 1589 2186 2724 3178 3279 4372 4767 6356 6558 7651 9534 13116 15302 19068 22953 30604 45906 91812 248111 496222 528763 744333 992444 1057526 1488666 1586289 1736777 2115052 2977332 3172578 3473554 3701341 5210331 6345156 6947108 7402682 10420662 11104023 14805364 20841324 22208046 44416092 120029201 240058402 360087603 480116804 577937959 720175206 840204407 1155875918 1440350412 1680408814 1733813877 2311751836 2520613221 3360817628 3467627754 4045565713 5041226442 6935255508 8091131426 10082452884 12136697139 16182262852 24273394278 48546788556 131191916693 262383833386 393575750079 524767666772 787151500158 918343416851 1574303000316 1836686833702 2755030250553 3673373667404 5510060501106 11020121002212