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1310132312200 = 235217222998981
BaseRepresentation
bin10011000100001001111…
…110001001100010001000
311122020200101002020120101
4103010021332021202020
5132431122332442300
62441511054135144
7163440204624235
oct23041176114210
94566611066511
101310132312200
11465695598328
12191ab47b14b4
139671132c94a
14475a711078c
152412d71bb6a
hex13109f89888

1310132312200 has 144 divisors (see below), whose sum is σ = 3249940344300. Its totient is φ = 491067494400.

The previous prime is 1310132312113. The next prime is 1310132312231. The reversal of 1310132312200 is 22132310131.

It can be written as a sum of positive squares in 18 ways, for example, as 30822015844 + 1279310296356 = 175562^2 + 1131066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13186710 + ... + 13285690.

Almost surely, 21310132312200 is an apocalyptic number.

1310132312200 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 1310132312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624970172150).

1310132312200 is an abundant number, since it is smaller than the sum of its proper divisors (1939808032100).

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

1310132312200 is a wasteful number, since it uses less digits than its factorization.

1310132312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99260 (or 99234 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1310132312200 its reverse (22132310131), we get a palindrome (1332264622331).

The spelling of 1310132312200 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 229 289 340 425 458 578 680 850 916 1145 1156 1445 1700 1832 2290 2312 2890 3400 3893 4580 5725 5780 7225 7786 9160 11450 11560 14450 15572 19465 22900 28900 31144 38930 45800 57800 66181 77860 97325 98981 132362 155720 194650 197962 264724 330905 389300 395924 494905 529448 661810 778600 791848 989810 1323620 1654525 1682677 1979620 2474525 2647240 3309050 3365354 3959240 4949050 6618100 6730708 8413385 9898100 13236200 13461416 16826770 19796200 22666649 28605509 33653540 42066925 45333298 57211018 67307080 84133850 90666596 113333245 114422036 143027545 168267700 181333192 226666490 228844072 286055090 336535400 385333033 453332980 566666225 572110180 715137725 770666066 906665960 1133332450 1144220360 1430275450 1541332132 1926665165 2266664900 2860550900 3082664264 3853330330 4533329800 5721101800 6550661561 7706660660 9633325825 13101323122 15413321320 19266651650 26202646244 32753307805 38533303300 52405292488 65506615610 77066606600 131013231220 163766539025 262026462440 327533078050 655066156100 1310132312200