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1332310010220 = 22325710110469197
BaseRepresentation
bin10011011000110011110…
…111010110100101101100
311201100220222100000220100
4103120303313112211230
5133312032330311340
62500015455151100
7165153612143040
oct23306367264554
94640828300810
101332310010220
114740362a4082
12196263b15490
1398836c2aa97
14486ac70a020
15249ca74b830
hex13633dd696c

1332310010220 has 144 divisors (see below), whose sum is σ = 4664404600128. Its totient is φ = 301512844800.

The previous prime is 1332310010203. The next prime is 1332310010231. The reversal of 1332310010220 is 220100132331.

1332310010220 is a `hidden beast` number, since 1 + 332 + 3 + 100 + 10 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1332310010193 and 1332310010202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5107339 + ... + 5361858.

It is an arithmetic number, because the mean of its divisors is an integer number (32391698612).

Almost surely, 21332310010220 is an apocalyptic number.

1332310010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332310010220 is an abundant number, since it is smaller than the sum of its proper divisors (3332094589908).

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

1332310010220 is a wasteful number, since it uses less digits than its factorization.

1332310010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469320 (or 10469315 counting only the distinct ones).

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

Adding to 1332310010220 its reverse (220100132331), we get a palindrome (1552410142551).

The spelling of 1332310010220 in words is "one trillion, three hundred thirty-two billion, three hundred ten million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1818 2020 2121 2828 3030 3535 3636 4242 4545 6060 6363 7070 8484 9090 10605 12726 14140 18180 21210 25452 31815 42420 63630 127260 10469197 20938394 31407591 41876788 52345985 62815182 73284379 94222773 104691970 125630364 146568758 157037955 188445546 209383940 219853137 293137516 314075910 366421895 376891092 439706274 471113865 628151820 659559411 732843790 879412548 942227730 1057388897 1099265685 1319118822 1465687580 1884455460 2114777794 2198531370 2638237644 3172166691 3297797055 4229555588 4397062740 5286944485 6344333382 6595594110 7401722279 9516500073 10573888970 12688666764 13191188220 14803444558 15860833455 19033000146 21147777940 22205166837 29606889116 31721666910 37008611395 38066000292 44410333674 47582500365 63443333820 66615500511 74017222790 88820667348 95165000730 111025834185 133231001022 148034445580 190330001460 222051668370 266462002044 333077502555 444103336740 666155005110 1332310010220