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120411114021 = 321123375772477
BaseRepresentation
bin111000000100100001…
…1111100101000100101
3102111210122202100220200
41300021003330220211
53433100221122041
6131152140021113
711461620403362
oct1601103745045
9374718670820
10120411114021
114707aa31180
121b405531799
13b47c41a5c3
145b83ba1469
1531eb1121b6
hex1c090fca25

120411114021 has 96 divisors (see below), whose sum is σ = 203773909248. Its totient is φ = 67771883520.

The previous prime is 120411113989. The next prime is 120411114037.

120411114021 is a `hidden beast` number, since 120 + 411 + 114 + 0 + 21 = 666.

120411114021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120411114021 - 25 = 120411113989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120411113985 and 120411114003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120411114041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48610435 + ... + 48612911.

It is an arithmetic number, because the mean of its divisors is an integer number (2122644888).

Almost surely, 2120411114021 is an apocalyptic number.

120411114021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120411114021 is a deficient number, since it is larger than the sum of its proper divisors (83362795227).

120411114021 is a wasteful number, since it uses less digits than its factorization.

120411114021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 120411 and 114021, that added together give a palindrome (234432).

The spelling of 120411114021 in words is "one hundred twenty billion, four hundred eleven million, one hundred fourteen thousand, twenty-one".

Divisors: 1 3 9 11 23 33 37 69 99 111 207 253 333 407 577 759 851 1221 1731 2277 2477 2553 3663 5193 6347 7431 7659 9361 13271 19041 21349 22293 27247 28083 39813 56971 57123 64047 81741 84249 91649 119439 145981 170913 192141 234839 245223 274947 437943 491027 512739 626681 704517 824841 1008139 1313829 1429229 1473081 1880043 2107927 2113551 3024417 4287687 4419243 5401297 5640129 6323781 9073251 12863061 15721519 16203891 18971343 23187197 32872267 47164557 48611673 52881473 69561591 98616801 141493671 158644419 208684773 295850403 361594937 475933257 581696203 1084784811 1216273879 1745088609 3254354433 3648821637 5235265827 10946464911 13379012669 40137038007 120411114021