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11301013312020 = 223252232503112481
BaseRepresentation
bin1010010001110011100011…
…1000100101001000010100
31111000100220001022021211100
42210130320320211020110
52440123433401441040
640011340331310100
72244320434132305
oct244347070451024
944010801267740
1011301013312020
113667807441563
1213262665ab330
1363c8b1171073
142b0d870cc7ac
15148e72cc8b30
hexa4738e25214

11301013312020 has 144 divisors (see below), whose sum is σ = 34447524314112. Its totient is φ = 2998864373760.

The previous prime is 11301013312013. The next prime is 11301013312051. The reversal of 11301013312020 is 2021331010311.

11301013312020 is a `hidden beast` number, since 1 + 1 + 30 + 101 + 331 + 202 + 0 = 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 = 11301013311984 and 11301013312002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100414180 + ... + 100526660.

It is an arithmetic number, because the mean of its divisors is an integer number (239218918848).

Almost surely, 211301013312020 is an apocalyptic number.

11301013312020 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 11301013312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223762157056).

11301013312020 is an abundant number, since it is smaller than the sum of its proper divisors (23146511002092).

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

11301013312020 is a wasteful number, since it uses less digits than its factorization.

11301013312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115222 (or 115217 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11301013312020 its reverse (2021331010311), we get a palindrome (13322344322331).

The spelling of 11301013312020 in words is "eleven trillion, three hundred one billion, thirteen million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2503 2676 3345 4014 4460 5006 6690 7509 8028 10012 10035 12515 13380 15018 20070 22527 25030 30036 37545 40140 45054 50060 75090 90108 112481 112635 150180 224962 225270 337443 449924 450540 558169 562405 674886 1012329 1116338 1124810 1349772 1674507 1687215 2024658 2232676 2249620 2790845 3349014 3374430 4049316 5023521 5061645 5581690 6698028 6748860 8372535 10047042 10123290 11163380 16745070 20094084 20246580 25083263 25117605 33490140 50166526 50235210 75249789 100333052 100470420 125416315 150499578 225749367 250832630 281539943 300999156 376248945 451498734 501665260 563079886 752497890 844619829 902997468 1126159772 1128746835 1407699715 1504995780 1689239658 2257493670 2533859487 2815399430 3378479316 4223099145 4514987340 5067718974 5630798860 8446198290 10135437948 12669297435 16892396580 25338594870 50677189740 62783407289 125566814578 188350221867 251133629156 313917036445 376700443734 565050665601 627834072890 753400887468 941751109335 1130101331202 1255668145780 1883502218670 2260202662404 2825253328005 3767004437340 5650506656010 11301013312020