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11210011020120 = 23351110184083491
BaseRepresentation
bin1010001100100000100010…
…1110011000101101011000
31110200122222221102212200210
42203020020232120231120
52432131100310120440
635501450304331120
72234616344331033
oct243101056305530
943618887385623
1011210011020120
113632158a81760
1213106aa013aa0
1363413a7bb673
142aa7d304801a
151468e8966a80
hexa3208b98b58

11210011020120 has 128 divisors (see below), whose sum is σ = 37050549914880. Its totient is φ = 2690671680000.

The previous prime is 11210011020119. The next prime is 11210011020137. The reversal of 11210011020120 is 2102011001211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11210011020096 and 11210011020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41908426 + ... + 42175065.

It is an arithmetic number, because the mean of its divisors is an integer number (289457421210).

Almost surely, 211210011020120 is an apocalyptic number.

11210011020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210011020120 is an abundant number, since it is smaller than the sum of its proper divisors (25840538894760).

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

11210011020120 is a wasteful number, since it uses less digits than its factorization.

11210011020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84083617 (or 84083613 counting only the distinct ones).

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

Adding to 11210011020120 its reverse (2102011001211), we get a palindrome (13312022021331).

The spelling of 11210011020120 in words is "eleven trillion, two hundred ten billion, eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 84083491 168166982 252250473 336333964 420417455 504500946 672667928 840834910 924918401 1009001892 1261252365 1681669820 1849836802 2018003784 2522504730 2774755203 3363339640 3699673604 4624592005 5045009460 5549510406 7399347208 8492432591 9249184010 10090018920 11099020812 13873776015 16984865182 18498368020 22198041624 25477297773 27747552030 33969730364 36996736040 42462162955 50954595546 55495104060 67939460728 84924325910 93416758501 101909191092 110990208120 127386488865 169848651820 186833517002 203818382184 254772977730 280250275503 339697303640 373667034004 467083792505 509545955460 560500551006 747334068008 934167585010 1019091910920 1121001102012 1401251377515 1868335170020 2242002204024 2802502755030 3736670340040 5605005510060 11210011020120