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1301803413156 = 223870432
BaseRepresentation
bin10010111100011001100…
…001111010111010100100
311121110011220210100000000
4102330121201322322210
5132312043133210111
62434012405021300
7163023621302601
oct22743141727244
94543156710000
101301803413156
114621010a8194
1219036b3b4830
13959b4910c0c
1447016cad6a8
1523ce2404c56
hex12f1987aea4

1301803413156 has 81 divisors (see below), whose sum is σ = 3417545586091. Its totient is φ = 433872858888.

The previous prime is 1301803413151. The next prime is 1301803413179. The reversal of 1301803413156 is 6513143081031.

The square root of 1301803413156 is 1140966.

It is a perfect power (a square), and thus also a powerful number.

1301803413156 is a `hidden beast` number, since 1 + 301 + 8 + 0 + 34 + 1 + 315 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×13018034131562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1301803413156.

It is not an unprimeable number, because it can be changed into a prime (1301803413151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184832971 + ... + 184840013.

Almost surely, 21301803413156 is an apocalyptic number.

1301803413156 is the 1140966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301803413156

1301803413156 is an abundant number, since it is smaller than the sum of its proper divisors (2115742172935).

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

1301803413156 is an frugal number, since it uses more digits than its factorization.

1301803413156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 1301803413156 by its sum of digits (36), we get a square (46864922873616 = 68457962).

1301803413156 divided by its sum of digits (36) gives a square (36161205921 = 1901612).

Adding to 1301803413156 its reverse (6513143081031), we get a palindrome (7814946494187).

The spelling of 1301803413156 in words is "one trillion, three hundred one billion, eight hundred three million, four hundred thirteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 7043 8748 13122 14086 21129 26244 28172 42258 63387 84516 126774 190161 253548 380322 570483 760644 1140966 1711449 2281932 3422898 5134347 6845796 10268694 15403041 20537388 30806082 46209123 49603849 61612164 92418246 99207698 148811547 184836492 198415396 297623094 446434641 595246188 892869282 1339303923 1785738564 2678607846 4017911769 5357215692 8035823538 12053735307 16071647076 24107470614 36161205921 48214941228 72322411842 108483617763 144644823684 216967235526 325450853289 433934471052 650901706578 1301803413156