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330120302130100 = 225241509743212903
BaseRepresentation
bin100101100001111100001111…
…1010101110111001110110100
31121021212012012110022202102101
41023003320133111313032310
5321232142334321130400
63130035101223351444
7126351255555332416
oct11303703725671664
91537765173282371
10330120302130100
1196206263374499
12310376392b2584
13112282984c3921
145b73c9d2d49b6
1528272bedbd56a
hex12c3e1f5773b4

330120302130100 has 144 divisors (see below), whose sum is σ = 736268053328640. Its totient is φ = 128400685235200.

The previous prime is 330120302130079. The next prime is 330120302130137. The reversal of 330120302130100 is 1031203021033.

It is a congruent number.

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, 1550460249 + ... + 1550673151.

It is an arithmetic number, because the mean of its divisors is an integer number (5112972592560).

Almost surely, 2330120302130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330120302130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368134026664320).

330120302130100 is an abundant number, since it is smaller than the sum of its proper divisors (406147751198540).

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

330120302130100 is a wasteful number, since it uses less digits than its factorization.

330120302130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214210 (or 214203 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 330120302130100 its reverse (1031203021033), we get a palindrome (331151505151133).

The spelling of 330120302130100 in words is "three hundred thirty trillion, one hundred twenty billion, three hundred two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 509 743 820 1018 1025 1486 2036 2050 2545 2972 3715 4100 5090 7430 10180 12725 14860 18575 20869 25450 30463 37150 41738 50900 60926 74300 83476 104345 121852 152315 208690 212903 304630 378187 417380 425806 521725 609260 756374 761575 851612 1043450 1064515 1512748 1523150 1890935 2086900 2129030 3046300 3781870 4258060 5322575 7563740 8729023 9454675 10645150 15505667 17458046 18909350 21290300 31011334 34916092 37818700 43645115 62022668 77528335 87290230 108367627 155056670 158186929 174580460 216735254 218225575 310113340 316373858 387641675 433470508 436451150 541838135 632747716 775283350 790934645 872902300 1083676270 1550566700 1581869290 2167352540 2709190675 3163738580 3954673225 4443072707 5418381350 6485664089 7909346450 8886145414 10836762700 12971328178 15818692900 17772290828 22215363535 25942656356 32428320445 44430727070 64856640890 80517146861 88861454140 111076817675 129713281780 161034293722 162141602225 222153635350 322068587444 324283204450 402585734305 444307270700 648566408900 805171468610 1610342937220 2012928671525 3301203021301 4025857343050 6602406042602 8051714686100 13204812085204 16506015106505 33012030213010 66024060426020 82530075532525 165060151065050 330120302130100