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11023102131000 = 233539613382229
BaseRepresentation
bin1010000001101000010000…
…0101100011101100111000
31110000210112221101112021220
42200122010011203230320
52421100303121143000
635235535422232040
72215251514102041
oct240320405435470
943023487345256
1011023102131000
11356a964865963
1212a0426725620
1361c6216c195b
142a174184b8c8
15141b099401a0
hexa0684163b38

11023102131000 has 128 divisors (see below), whose sum is σ = 34395746299200. Its totient is φ = 2939180428800.

The previous prime is 11023102130983. The next prime is 11023102131011. The reversal of 11023102131000 is 13120132011.

It is a happy number.

It is a super-2 number, since 2×110231021310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28647886 + ... + 29030114.

Almost surely, 211023102131000 is an apocalyptic number.

11023102131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023102131000 is an abundant number, since it is smaller than the sum of its proper divisors (23372644168200).

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

11023102131000 is a wasteful number, since it uses less digits than its factorization.

11023102131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391866 (or 391852 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11023102131000 its reverse (13120132011), we get a palindrome (11036222263011).

The spelling of 11023102131000 in words is "eleven trillion, twenty-three billion, one hundred two million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 9613 19226 28839 38452 48065 57678 76904 96130 115356 144195 192260 230712 240325 288390 382229 384520 480650 576780 720975 764458 961300 1146687 1153560 1201625 1441950 1528916 1911145 1922600 2293374 2403250 2883900 3057832 3604875 3822290 4586748 4806500 5733435 5767800 7209750 7644580 9173496 9555725 9613000 11466870 14419500 15289160 19111450 22933740 28667175 28839000 38222900 45867480 47778625 57334350 76445800 95557250 114668700 143335875 191114500 229337400 286671750 382229000 573343500 1146687000 3674367377 7348734754 11023102131 14697469508 18371836885 22046204262 29394939016 36743673770 44092408524 55115510655 73487347540 88184817048 91859184425 110231021310 146974695080 183718368850 220462042620 275577553275 367436737700 440924085240 459295922125 551155106550 734873475400 918591844250 1102310213100 1377887766375 1837183688500 2204620426200 2755775532750 3674367377000 5511551065500 11023102131000