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11102003120120 = 235111731013143977
BaseRepresentation
bin1010000110001110001011…
…1100111100011111111000
31110022100012200112001210012
42201203202330330133320
52423343400244320440
635340105000241052
72224043662330223
oct241434274743770
943270180461705
1011102003120120
1135a0373372890
1212b3786470188
13626bb6c31073
142a54a86645ba
15143bc66c0e65
hexa18e2f3c7f8

11102003120120 has 128 divisors (see below), whose sum is σ = 27435134600640. Its totient is φ = 4009766154240.

The previous prime is 11102003120107. The next prime is 11102003120137. The reversal of 11102003120120 is 2102130020111.

It is a junction number, because it is equal to n+sod(n) for n = 11102003120095 and 11102003120104.

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, 77037572 + ... + 77181548.

Almost surely, 211102003120120 is an apocalyptic number.

11102003120120 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 11102003120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717567300320).

11102003120120 is an abundant number, since it is smaller than the sum of its proper divisors (16333131480520).

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

11102003120120 is a wasteful number, since it uses less digits than its factorization.

11102003120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145185 (or 145181 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11102003120120 its reverse (2102130020111), we get a palindrome (13204133140231).

The spelling of 11102003120120 in words is "eleven trillion, one hundred two billion, three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 1013 1384 1730 1903 2026 3460 3806 4052 5065 6920 7612 8104 9515 10130 11143 15224 19030 20260 22286 38060 40520 44572 55715 76120 89144 111430 143977 175249 222860 287954 350498 445720 575908 700996 719885 876245 1151816 1401992 1439770 1583747 1752490 1927739 2879540 3167494 3504980 3855478 5759080 6334988 7009960 7710956 7918735 9638695 12669976 15421912 15837470 19277390 24908021 31674940 38554780 49816042 63349880 77109560 99632084 124540105 145848701 199264168 249080210 273988231 291697402 498160420 547976462 583394804 729243505 996320840 1095952924 1166789608 1369941155 1458487010 1604335711 2191905848 2739882310 2916974020 3208671422 5479764620 5833948040 6417342844 8021678555 10959529240 12834685688 16043357110 25231825273 32086714220 50463650546 64173428440 100927301092 126159126365 201854602184 252318252730 277550078003 504636505460 555100156006 1009273010920 1110200312012 1387750390015 2220400624024 2775500780030 5551001560060 11102003120120