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11102023012200 = 2335283222932189
BaseRepresentation
bin1010000110001110010000…
…1000110100111101101000
31110022100021001221200120220
42201203210020310331220
52423343420342342300
635340110550450040
72224044323366511
oct241434410647550
943270231850526
1011102023012200
1135a038361a01a
1212b3791063920
13626bbb0a7323
142a54ab161a08
15143bc82eeda0
hexa18e4234f68

11102023012200 has 96 divisors (see below), whose sum is σ = 34830925365600. Its totient is φ = 2924870306560.

The previous prime is 11102023012163. The next prime is 11102023012207. The reversal of 11102023012200 is 221032020111.

It is a super-2 number, since 2×111020230122002 (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 self number, because there is not a number n which added to its sum of digits gives 11102023012200.

It is not an unprimeable number, because it can be changed into a prime (11102023012207) 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 23 ways as a sum of consecutive naturals, for example, 111416295 + ... + 111515894.

It is an arithmetic number, because the mean of its divisors is an integer number (362822139225).

Almost surely, 211102023012200 is an apocalyptic number.

11102023012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102023012200 is an abundant number, since it is smaller than the sum of its proper divisors (23728902353400).

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

11102023012200 is a wasteful number, since it uses less digits than its factorization.

11102023012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222932291 (or 222932282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11102023012200 its reverse (221032020111), we get a palindrome (11323055032311).

The spelling of 11102023012200 in words is "eleven trillion, one hundred two billion, twenty-three million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 222932189 445864378 668796567 891728756 1114660945 1337593134 1783457512 2229321890 2675186268 3343982835 4458643780 5350372536 5573304725 6687965670 8917287560 11146609450 13375931340 16719914175 18503371687 22293218900 26751862680 33439828350 37006743374 44586437800 55510115061 66879656700 74013486748 92516858435 111020230122 133759313400 148026973496 185033716870 222040460244 277550575305 370067433740 444080920488 462584292175 555101150610 740134867480 925168584350 1110202301220 1387752876525 1850337168700 2220404602440 2775505753050 3700674337400 5551011506100 11102023012200