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11021214420 = 22325377322669
BaseRepresentation
bin10100100001110101…
…00110001011010100
31001110002100200221200
422100322212023110
5140032412330140
65021342512500
7540054530316
oct122072461324
931402320850
1011021214420
114746208577
122176b95730
131068444768
14767a337b6
15447880030
hex290ea62d4

11021214420 has 144 divisors (see below), whose sum is σ = 34806429840. Its totient is φ = 2820261888.

The previous prime is 11021214409. The next prime is 11021214443. The reversal of 11021214420 is 2441212011.

11021214420 is a `hidden beast` number, since 1 + 10 + 21 + 214 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2503401156 + 8517813264 = 50034^2 + 92292^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11021214393 and 11021214402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474846 + ... + 497514.

Almost surely, 211021214420 is an apocalyptic number.

11021214420 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 11021214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403214920).

11021214420 is an abundant number, since it is smaller than the sum of its proper divisors (23785215420).

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

11021214420 is a wasteful number, since it uses less digits than its factorization.

11021214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22794 (or 22789 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11021214420 its reverse (2441212011), we get a palindrome (13462426431).

The spelling of 11021214420 in words is "eleven billion, twenty-one million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 73 74 90 111 146 148 180 185 219 222 292 333 365 370 438 444 555 657 666 730 740 876 1095 1110 1314 1332 1460 1665 2190 2220 2628 2701 3285 3330 4380 5402 6570 6660 8103 10804 13140 13505 16206 22669 24309 27010 32412 40515 45338 48618 54020 68007 81030 90676 97236 113345 121545 136014 162060 204021 226690 243090 272028 340035 408042 453380 486180 680070 816084 838753 1020105 1360140 1654837 1677506 2040210 2516259 3309674 3355012 4080420 4193765 4964511 5032518 6619348 7548777 8274185 8387530 9929022 10065036 12581295 14893533 15097554 16548370 16775060 19858044 24822555 25162590 29787066 30195108 33096740 37743885 49645110 50325180 59574132 61228969 74467665 75487770 99290220 122457938 148935330 150975540 183686907 244915876 297870660 306144845 367373814 551060721 612289690 734747628 918434535 1102121442 1224579380 1836869070 2204242884 2755303605 3673738140 5510607210 11021214420