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4330100020000 = 2554241898361
BaseRepresentation
bin111111000000101110000…
…100101101001100100000
3120022221202010010011200211
4333000232010231030200
51031421021101120000
613113115343023504
7624560625612016
oct77005604551440
916287663104624
104330100020000
11141a426637457
1259b25189ab94
1325543293c061
1410d813cc48b6
1577980e4d7ba
hex3f02e12d320

4330100020000 has 120 divisors (see below), whose sum is σ = 10696909527612. Its totient is φ = 1724851200000.

The previous prime is 4330100019991. The next prime is 4330100020019. The reversal of 4330100020000 is 200010334.

It can be written as a sum of positive squares in 10 ways, for example, as 98242126096 + 4231857893904 = 313436^2 + 2057148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4370820 + ... + 5269180.

Almost surely, 24330100020000 is an apocalyptic number.

4330100020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4330100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348454763806).

4330100020000 is an abundant number, since it is smaller than the sum of its proper divisors (6366809507612).

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

4330100020000 is an equidigital number, since it uses as much as digits as its factorization.

4330100020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898632 (or 898609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 4330100020000 its reverse (200010334), we get a palindrome (4330300030334).

The spelling of 4330100020000 in words is "four trillion, three hundred thirty billion, one hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 625 800 964 1000 1205 1250 1928 2000 2410 2500 3856 4000 4820 5000 6025 7712 9640 10000 12050 19280 20000 24100 30125 38560 48200 60250 96400 120500 150625 192800 241000 301250 482000 602500 898361 964000 1205000 1796722 2410000 3593444 4491805 4820000 7186888 8983610 14373776 17967220 22459025 28747552 35934440 44918050 71868880 89836100 112295125 143737760 179672200 216505001 224590250 359344400 433010002 449180500 561475625 718688800 866020004 898361000 1082525005 1122951250 1732040008 1796722000 2165050010 2245902500 3464080016 3593444000 4330100020 4491805000 5412625025 6928160032 8660200040 8983610000 10825250050 17320400080 17967220000 21650500100 27063125125 34640800160 43301000200 54126250250 86602000400 108252500500 135315625625 173204000800 216505001000 270631251250 433010002000 541262502500 866020004000 1082525005000 2165050010000 4330100020000