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1332103310100 = 2232522951038441
BaseRepresentation
bin10011011000100111100…
…010110110101100010100
311201100101120101120122100
4103120213202312230110
5133311121421410400
62455543153002100
7165145522211553
oct23304742665424
94640346346570
101332103310100
11473a3a655232
12196206853330
1398803168c14
144868d0a1d9a
15249b751c100
hex136278b6b14

1332103310100 has 108 divisors (see below), whose sum is σ = 4319383346460. Its totient is φ = 342978316800.

The previous prime is 1332103310099. The next prime is 1332103310137. The reversal of 1332103310100 is 10133012331.

It is a happy number.

1332103310100 is a `hidden beast` number, since 1 + 3 + 321 + 0 + 331 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21824743824 + 1310278566276 = 147732^2 + 1144674^2 .

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 35 ways as a sum of consecutive naturals, for example, 25493121 + ... + 25545320.

It is an arithmetic number, because the mean of its divisors is an integer number (39994290245).

Almost surely, 21332103310100 is an apocalyptic number.

1332103310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332103310100 is an abundant number, since it is smaller than the sum of its proper divisors (2987280036360).

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

1332103310100 is a wasteful number, since it uses less digits than its factorization.

1332103310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51038490 (or 51038480 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1332103310100 its reverse (10133012331), we get a palindrome (1342236322431).

The spelling of 1332103310100 in words is "one trillion, three hundred thirty-two billion, one hundred three million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 51038441 102076882 153115323 204153764 255192205 306230646 459345969 510384410 612461292 765576615 918691938 1020768820 1275961025 1480114789 1531153230 1837383876 2296729845 2551922050 2960229578 3062306460 3827883075 4440344367 4593459690 5103844100 5920459156 7400573945 7655766150 8880688734 9186919380 11483649225 13321033101 14801147890 15311532300 17761377468 22201721835 22967298450 26642066202 29602295780 37002869725 44403443670 45934596900 53284132404 66605165505 74005739450 88806887340 111008609175 133210331010 148011478900 222017218350 266420662020 333025827525 444034436700 666051655050 1332103310100