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1120022011300 = 2252318333113151
BaseRepresentation
bin10000010011000110100…
…000111001110110100100
310222001222021000022210211
4100103012200321312210
5121322301113330200
62214310410425204
7143630122005223
oct20230640716644
93861867008724
101120022011300
113a1aa9254475
12161099132204
1381804bbb93a
143c2d067ccba
151e203618aba
hex104c6839da4

1120022011300 has 144 divisors (see below), whose sum is σ = 2546940985344. Its totient is φ = 427006800000.

The previous prime is 1120022011289. The next prime is 1120022011363. The reversal of 1120022011300 is 31102200211.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 85159725 + ... + 85172875.

It is an arithmetic number, because the mean of its divisors is an integer number (17687090176).

Almost surely, 21120022011300 is an apocalyptic number.

1120022011300 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 1120022011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273470492672).

1120022011300 is an abundant number, since it is smaller than the sum of its proper divisors (1426918974044).

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

1120022011300 is a wasteful number, since it uses less digits than its factorization.

1120022011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13610 (or 13603 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1120022011300 its reverse (31102200211), we get a palindrome (1151124211511).

The spelling of 1120022011300 in words is "one trillion, one hundred twenty billion, twenty-two million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 83 100 124 155 166 310 331 332 415 620 662 775 830 1324 1550 1655 1660 2075 2573 3100 3310 4150 5146 6620 8275 8300 10261 10292 12865 13151 16550 20522 25730 26302 27473 33100 41044 51305 51460 52604 54946 64325 65755 102610 109892 128650 131510 137365 205220 256525 257300 263020 274730 328775 407681 513050 549460 657550 686825 815362 851663 1026100 1091533 1315100 1373650 1630724 1703326 2038405 2183066 2747300 3406652 4076810 4258315 4352981 4366132 5457665 8153620 8516630 8705962 10192025 10915330 17033260 17411924 20384050 21291575 21764905 21830660 27288325 33837523 40768100 42583150 43529810 54576650 67675046 85166300 87059620 108824525 109153300 134942411 135350092 169187615 217649050 269884822 338375230 361297423 435298100 539769644 674712055 676750460 722594846 845938075 1349424110 1445189692 1691876150 1806487115 2698848220 3373560275 3383752300 3612974230 6747120550 7225948460 9032435575 11200220113 13494241100 18064871150 22400440226 36129742300 44800880452 56001100565 112002201130 224004402260 280005502825 560011005650 1120022011300