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1332140000220 = 2232547157463357
BaseRepresentation
bin10011011000101001101…
…110110100001111011100
311201100111010102122000200
4103120221232310033130
5133311210320001340
62455550543223500
7165146446113051
oct23305156641734
94640433378020
101332140000220
11473a59335047
12196216ba7b90
139880a944053
1448693cd3028
15249ba868330
hex13629bb43dc

1332140000220 has 72 divisors (see below), whose sum is σ = 4126799686464. Its totient is φ = 347679090048.

The previous prime is 1332140000183. The next prime is 1332140000221. The reversal of 1332140000220 is 220000412331.

1332140000220 is a `hidden beast` number, since 13 + 32 + 1 + 400 + 0 + 0 + 220 = 666.

It is a super-2 number, since 2×13321400002202 (a number of 25 digits) contains 22 as substring.

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 = 1332140000193 and 1332140000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332140000221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78723219 + ... + 78740138.

It is an arithmetic number, because the mean of its divisors is an integer number (57316662312).

Almost surely, 21332140000220 is an apocalyptic number.

1332140000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332140000220 is an abundant number, since it is smaller than the sum of its proper divisors (2794659686244).

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

1332140000220 is a wasteful number, since it uses less digits than its factorization.

1332140000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157463419 (or 157463414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1332140000220 its reverse (220000412331), we get a palindrome (1552140412551).

The spelling of 1332140000220 in words is "one trillion, three hundred thirty-two billion, one hundred forty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 157463357 314926714 472390071 629853428 787316785 944780142 1417170213 1574633570 1889560284 2361950355 2834340426 3149267140 4723900710 5668680852 7085851065 7400777779 9447801420 14171702130 14801555558 22202333337 28343404260 29603111116 37003888895 44404666674 66607000011 74007777790 88809333348 111011666685 133214000022 148015555580 222023333370 266428000044 333035000055 444046666740 666070000110 1332140000220