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1311010130100 = 2235211894463773
BaseRepresentation
bin10011000100111110010…
…010110000100010110100
311122022221112212000100110
4103010332102300202310
5132434422043130400
62442134132543020
7163501024145136
oct23047622604264
94568845760313
101311010130100
11465aa6049970
121920ba781a70
139682115a918
144764b935056
1524180815e50
hex1313e4b08b4

1311010130100 has 144 divisors (see below), whose sum is σ = 4184520298560. Its totient is φ = 314249548800.

The previous prime is 1311010130083. The next prime is 1311010130117. The reversal of 1311010130100 is 10310101131.

It is an interprime number because it is at equal distance from previous prime (1311010130083) and next prime (1311010130117).

It is a super-2 number, since 2×13110101301002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1938187 + ... + 2525586.

It is an arithmetic number, because the mean of its divisors is an integer number (29059168740).

Almost surely, 21311010130100 is an apocalyptic number.

1311010130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311010130100 is an abundant number, since it is smaller than the sum of its proper divisors (2873510168460).

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

1311010130100 is a wasteful number, since it uses less digits than its factorization.

1311010130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463890 (or 4463883 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1311010130100 its reverse (10310101131), we get a palindrome (1321320231231).

The spelling of 1311010130100 in words is "one trillion, three hundred eleven billion, ten million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 89 100 110 132 150 165 178 220 267 275 300 330 356 445 534 550 660 825 890 979 1068 1100 1335 1650 1780 1958 2225 2670 2937 3300 3916 4450 4895 5340 5874 6675 8900 9790 11748 13350 14685 19580 24475 26700 29370 48950 58740 73425 97900 146850 293700 4463773 8927546 13391319 17855092 22318865 26782638 44637730 49101503 53565276 66956595 89275460 98203006 111594325 133913190 147304509 196406012 223188650 245507515 267826380 294609018 334782975 397275797 446377300 491015030 589218036 669565950 736522545 794551594 982030060 1191827391 1227537575 1339131900 1473045090 1589103188 1986378985 2383654782 2455075150 2946090180 3682612725 3972757970 4370033767 4767309564 4910150300 5959136955 7365225450 7945515940 8740067534 9931894925 11918273910 13110101301 14730450900 17480135068 19863789850 21850168835 23836547820 26220202602 29795684775 39727579700 43700337670 52440405204 59591369550 65550506505 87400675340 109250844175 119182739100 131101013010 218501688350 262202026020 327752532525 437003376700 655505065050 1311010130100