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20133021330 = 23256116972161
BaseRepresentation
bin10010110000000001…
…011000011010010010
31220222002211110012200
4102300001120122102
5312213023140310
613125440304030
71311625600122
oct226001303222
956862743180
1020133021330
1185a1624a04
123a9a612016
131b8b110696
14d8dc30c82
157cc7949c0
hex4b0058692

20133021330 has 96 divisors (see below), whose sum is σ = 53259970608. Its totient is φ = 5275238400.

The previous prime is 20133021323. The next prime is 20133021343. The reversal of 20133021330 is 3312033102.

20133021330 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 2 + 1 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9796842441 + 10336178889 = 98979^2 + 101667^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9315450 + ... + 9317610.

Almost surely, 220133021330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629985304).

20133021330 is an abundant number, since it is smaller than the sum of its proper divisors (33126949278).

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

20133021330 is a wasteful number, since it uses less digits than its factorization.

20133021330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20133021330 its reverse (3312033102), we get a palindrome (23445054432).

The spelling of 20133021330 in words is "twenty billion, one hundred thirty-three million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1697 1830 2161 2745 3394 4322 5091 5490 6483 8485 10182 10805 12966 15273 16970 19449 21610 25455 30546 32415 38898 50910 64830 76365 97245 103517 131821 152730 194490 207034 263642 310551 395463 517585 621102 659105 790926 931653 1035170 1186389 1318210 1552755 1863306 1977315 2372778 3105510 3667217 3954630 4658265 5931945 7334434 9316530 11001651 11863890 18336085 22003302 33004953 36672170 55008255 66009906 110016510 165024765 223700237 330049530 447400474 671100711 1118501185 1342201422 2013302133 2237002370 3355503555 4026604266 6711007110 10066510665 20133021330