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20312121330 = 2345236716273
BaseRepresentation
bin10010111010101100…
…100101111111110010
31221102120211200020000
4102322230211333302
5313044400340310
613155315130430
71316232116424
oct227254457762
957376750200
1020312121330
118683732436
123b2a5a3a16
131bb925aa07
14da9932814
157dd3714c0
hex4bab25ff2

20312121330 has 160 divisors (see below), whose sum is σ = 57845867904. Its totient is φ = 5103419904.

The previous prime is 20312121293. The next prime is 20312121341. The reversal of 20312121330 is 3312121302.

20312121330 is a `hidden beast` number, since 2 + 0 + 312 + 1 + 21 + 330 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1240074 + ... + 1256346.

Almost surely, 220312121330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28922933952).

20312121330 is an abundant number, since it is smaller than the sum of its proper divisors (37533746574).

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

20312121330 is a wasteful number, since it uses less digits than its factorization.

20312121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16382 (or 16373 counting only the distinct ones).

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

Adding to 20312121330 its reverse (3312121302), we get a palindrome (23624242632).

The spelling of 20312121330 in words is "twenty billion, three hundred twelve million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 67 69 81 90 115 134 135 138 162 201 207 230 270 335 345 402 405 414 603 621 670 690 810 1005 1035 1206 1242 1541 1809 1863 2010 2070 3015 3082 3105 3618 3726 4623 5427 6030 6210 7705 9045 9246 9315 10854 13869 15410 16273 18090 18630 23115 27135 27738 32546 41607 46230 48819 54270 69345 81365 83214 97638 124821 138690 146457 162730 208035 244095 249642 292914 374279 416070 439371 488190 624105 732285 748558 878742 1090291 1122837 1248210 1318113 1464570 1871395 2180582 2196855 2245674 2636226 3270873 3368511 3742790 4393710 5451455 5614185 6541746 6590565 6737022 9812619 10105533 10902910 11228370 13181130 16354365 16842555 19625238 20211066 25076693 29437857 30316599 32708730 33685110 49063095 50153386 50527665 58875714 60633198 75230079 88313571 98126190 101055330 125383465 147189285 150460158 151582995 176627142 225690237 250766930 294378570 303165990 376150395 441567855 451380474 677070711 752300790 883135710 1128451185 1354141422 2031212133 2256902370 3385353555 4062424266 6770707110 10156060665 20312121330