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330101200020040 = 2355359244730857
BaseRepresentation
bin100101100001110011010110…
…0110001000110001001001000
31121021210100220012100000121121
41023003212230301012021020
5321231334224201120130
63130022221531045024
7126350011315145431
oct11303465461061110
91537710805300547
10330101200020040
11961a9150766479
12310339a7ba0774
1311226542b54117
145b72daa37a488
152826a52db3d7a
hex12c39acc46248

330101200020040 has 96 divisors (see below), whose sum is σ = 769784965345080. Its totient is φ = 127353399041024.

The previous prime is 330101200020023. The next prime is 330101200020043. The reversal of 330101200020040 is 40020002101033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 312651214346916 + 17449985673124 = 17681946^2 + 4177318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330101200019996 and 330101200020023.

It is not an unprimeable number, because it can be changed into a prime (330101200020043) 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, 14985709 + ... + 29745148.

Almost surely, 2330101200020040 is an apocalyptic number.

It is an amenable number.

330101200020040 is an abundant number, since it is smaller than the sum of its proper divisors (439683765325040).

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

330101200020040 is a wasteful number, since it uses less digits than its factorization.

330101200020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44731039 (or 44730976 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 330101200020040 its reverse (40020002101033), we get a palindrome (370121202121073).

The spelling of 330101200020040 in words is "three hundred thirty trillion, one hundred one billion, two hundred million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 59 106 118 212 236 265 295 424 472 530 590 1060 1180 2120 2360 3127 3481 6254 6962 12508 13924 15635 17405 25016 27848 31270 34810 62540 69620 125080 139240 184493 368986 737972 922465 1475944 1844930 3689860 7379720 44730857 89461714 178923428 223654285 357846856 447308570 894617140 1789234280 2370735421 2639120563 4741470842 5278241126 9482941684 10556482252 11853677105 13195602815 18965883368 21112964504 23707354210 26391205630 47414708420 52782411260 94829416840 105564822520 139873389839 155708113217 279746779678 311416226434 559493559356 622832452868 699366949195 778540566085 1118987118712 1245664905736 1398733898390 1557081132170 2797467796780 3114162264340 5594935593560 6228324528680 8252530000501 16505060001002 33010120002004 41262650002505 66020240004008 82525300005010 165050600010020 330101200020040