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1310100203232 = 253261659113161
BaseRepresentation
bin10011000100001000000…
…011101010011011100000
311122020121010122221100100
4103010020003222123200
5132431041123000412
62441503550022400
7163436334663132
oct23041003523340
94566533587310
101310100203232
11465679457397
12191aa5aa7a00
1396707799a62
14475a2b53052
152412a9c7edc
hex131080ea6e0

1310100203232 has 144 divisors (see below), whose sum is σ = 3792452423760. Its totient is φ = 428885452800.

The previous prime is 1310100203221. The next prime is 1310100203303. The reversal of 1310100203232 is 2323020010131.

1310100203232 is a `hidden beast` number, since 1 + 310 + 10 + 0 + 20 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11520732 + ... + 11633892.

It is an arithmetic number, because the mean of its divisors is an integer number (26336475165).

Almost surely, 21310100203232 is an apocalyptic number.

1310100203232 is a gapful number since it is divisible by the number (12) 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 1310100203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896226211880).

1310100203232 is an abundant number, since it is smaller than the sum of its proper divisors (2482352220528).

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

1310100203232 is a wasteful number, since it uses less digits than its factorization.

1310100203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113897 (or 113886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310100203232 its reverse (2323020010131), we get a palindrome (3633120213363).

The spelling of 1310100203232 in words is "one trillion, three hundred ten billion, one hundred million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 659 732 976 1098 1318 1464 1952 1977 2196 2636 2928 3954 4392 5272 5856 5931 7908 8784 10544 11862 15816 17568 21088 23724 31632 40199 47448 63264 80398 94896 113161 120597 160796 189792 226322 241194 321592 339483 361791 452644 482388 643184 678966 723582 905288 964776 1018449 1286368 1357932 1447164 1810576 1929552 2036898 2715864 2894328 3621152 3859104 4073796 5431728 5788656 6902821 8147592 10863456 11577312 13805642 16295184 20708463 27611284 32590368 41416926 55222568 62125389 74573099 82833852 110445136 124250778 149146198 165667704 220890272 223719297 248501556 298292396 331335408 447438594 497003112 596584792 662670816 671157891 894877188 994006224 1193169584 1342315782 1789754376 1988012448 2386339168 2684631564 3579508752 4548959039 5369263128 7159017504 9097918078 10738526256 13646877117 18195836156 21477052512 27293754234 36391672312 40940631351 54587508468 72783344624 81881262702 109175016936 145566689248 163762525404 218350033872 327525050808 436700067744 655050101616 1310100203232