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11301023111220 = 22325313754737107
BaseRepresentation
bin1010010001110011100101…
…1101111101100000110100
31111000100220201202010210200
42210130321131331200310
52440123443404024340
640011341321320500
72244320613334353
oct244347135754064
944010821663720
1011301023111220
113667811a24877
121326269936130
1363c8b31c23cb
142b0d8851d99a
15148e73ab2330
hexa473977d834

11301023111220 has 144 divisors (see below), whose sum is σ = 36341936537088. Its totient is φ = 2837571575040.

The previous prime is 11301023111179. The next prime is 11301023111267. The reversal of 11301023111220 is 2211132010311.

11301023111220 is a `hidden beast` number, since 1 + 1 + 30 + 102 + 311 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11301023111193 and 11301023111202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27162094 + ... + 27575013.

Almost surely, 211301023111220 is an apocalyptic number.

11301023111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301023111220 is an abundant number, since it is smaller than the sum of its proper divisors (25040913425868).

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

11301023111220 is a wasteful number, since it uses less digits than its factorization.

11301023111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54737190 (or 54737185 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11301023111220 its reverse (2211132010311), we get a palindrome (13512155121531).

The spelling of 11301023111220 in words is "eleven trillion, three hundred one billion, twenty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 148 155 180 185 186 222 279 310 333 370 372 444 465 555 558 620 666 740 930 1110 1116 1147 1332 1395 1665 1860 2220 2294 2790 3330 3441 4588 5580 5735 6660 6882 10323 11470 13764 17205 20646 22940 34410 41292 51615 68820 103230 206460 54737107 109474214 164211321 218948428 273685535 328422642 492633963 547371070 656845284 821056605 985267926 1094742140 1642113210 1696850317 1970535852 2025272959 2463169815 3284226420 3393700634 4050545918 4926339630 5090550951 6075818877 6787401268 8101091836 8484251585 9852679260 10126364795 10181101902 12151637754 15271652853 16968503170 18227456631 20252729590 20362203804 24303275508 25452754755 30379094385 30543305706 33937006340 36454913262 40505459180 50905509510 60758188770 61086611412 62783461729 72909826524 76358264265 91137283155 101811019020 121516377540 125566923458 152716528530 182274566310 188350385187 251133846916 305433057060 313917308645 364549132620 376700770374 565051155561 627834617290 753401540748 941751925935 1130102311122 1255669234580 1883503851870 2260204622244 2825255777805 3767007703740 5650511555610 11301023111220