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20010020021120 = 2751910315976319
BaseRepresentation
bin1001000110010111100100…
…01000101010001110000000
32121211221100200220022121002
410203023302020222032000
510110321010111133440
6110320250513551132
74133450643551303
oct443136210521600
977757320808532
1020010020021120
116415224707228
1222b20ab2754a8
13b21c2419110c
144d26c0d12b3a
1524a78e89b115
hex1232f222a380

20010020021120 has 128 divisors (see below), whose sum is σ = 50843040768000. Its totient is φ = 7509125081088.

The previous prime is 20010020020993. The next prime is 20010020021129. The reversal of 20010020021120 is 2112002001002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010020021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735680 + ... + 9240639.

It is an arithmetic number, because the mean of its divisors is an integer number (397211256000).

Almost surely, 220010020021120 is an apocalyptic number.

20010020021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010020021120 is an abundant number, since it is smaller than the sum of its proper divisors (30833020746880).

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

20010020021120 is a wasteful number, since it uses less digits than its factorization.

20010020021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976460 (or 15976448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20010020021120 its reverse (2112002001002), we get a palindrome (22122022022122).

The spelling of 20010020021120 in words is "twenty trillion, ten billion, twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 103 128 152 160 190 206 304 320 380 412 515 608 640 760 824 1030 1216 1520 1648 1957 2060 2432 3040 3296 3914 4120 6080 6592 7828 8240 9785 12160 13184 15656 16480 19570 31312 32960 39140 62624 65920 78280 125248 156560 250496 313120 626240 1252480 15976319 31952638 63905276 79881595 127810552 159763190 255621104 303550061 319526380 511242208 607100122 639052760 1022484416 1214200244 1278105520 1517750305 1645560857 2044968832 2428400488 2556211040 3035500610 3291121714 4856800976 5112422080 6071001220 6582243428 8227804285 9713601952 10224844160 12142002440 13164486856 16455608570 19427203904 24284004880 26328973712 31265656283 32911217140 38854407808 48568009760 52657947424 62531312566 65822434280 97136019520 105315894848 125062625132 131644868560 156328281415 194272039040 210631789696 250125250264 263289737120 312656562830 500250500528 526579474240 625313125660 1000501001056 1053158948480 1250626251320 2001002002112 2501252502640 4002004004224 5002505005280 10005010010560 20010020021120