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1311212020332 = 2235935338913487
BaseRepresentation
bin10011000101001010010…
…100111010001001101100
311122100110121202002200110
4103011022110322021230
5132440330234122312
62442210144100020
7163506025164324
oct23051224721154
94570417662613
101311212020332
1146609a002aa5
12192156304610
1396853c273b6
144766a68a284
15241933e543c
hex1314a53a26c

1311212020332 has 96 divisors (see below), whose sum is σ = 3128417510400. Its totient is φ = 427312433152.

The previous prime is 1311212020301. The next prime is 1311212020333. The reversal of 1311212020332 is 2330202121131.

It is a junction number, because it is equal to n+sod(n) for n = 1311212020299 and 1311212020308.

It is not an unprimeable number, because it can be changed into a prime (1311212020333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97213693 + ... + 97227179.

It is an arithmetic number, because the mean of its divisors is an integer number (32587682400).

Almost surely, 21311212020332 is an apocalyptic number.

1311212020332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311212020332 is an abundant number, since it is smaller than the sum of its proper divisors (1817205490068).

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

1311212020332 is a wasteful number, since it uses less digits than its factorization.

1311212020332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14295 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1311212020332 its reverse (2330202121131), we get a palindrome (3641414141463).

The spelling of 1311212020332 in words is "one trillion, three hundred eleven billion, two hundred twelve million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 118 177 236 353 354 389 706 708 778 1059 1167 1412 1556 2118 2334 4236 4668 13487 20827 22951 26974 40461 41654 45902 53948 62481 68853 80922 83308 91804 124962 137317 137706 161844 249924 274634 275412 411951 549268 795733 823902 1591466 1647804 2387199 3182932 4760911 4774398 5246443 8101703 9521822 9548796 10492886 14282733 15739329 16203406 19043644 20985772 24305109 28565466 31478658 32406812 48610218 57130932 62957316 97220436 280893749 309540137 561787498 619080274 842681247 928620411 1123574996 1238160548 1685362494 1851994379 1857240822 3370724988 3703988758 3714481644 5555983137 7407977516 11111966274 22223932548 109267668361 218535336722 327803005083 437070673444 655606010166 1311212020332