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120213322344401 = 11132310112711172551
BaseRepresentation
bin11011010101010101011000…
…011000000010011111010001
3120202122021121010101221021212
4123111111120120002133101
5111224033341010010101
61103401123215025505
734215061123200326
oct3325253030023721
9522567533357255
10120213322344401
11353382025659a0
121159619250b295
1352100b583cb70
1421984da628b4d
15dd70574a11bb
hex6d55586027d1

120213322344401 has 128 divisors (see below), whose sum is σ = 150194191859712. Its totient is φ = 94662691200000.

The previous prime is 120213322344371. The next prime is 120213322344449. The reversal of 120213322344401 is 104443223312021.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-120213322344401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120213322347401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47123998076 + ... + 47124000626.

It is an arithmetic number, because the mean of its divisors is an integer number (1173392123904).

Almost surely, 2120213322344401 is an apocalyptic number.

120213322344401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120213322344401 is a deficient number, since it is larger than the sum of its proper divisors (29980869515311).

120213322344401 is a wasteful number, since it uses less digits than its factorization.

120213322344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 120213322344401 its reverse (104443223312021), we get a palindrome (224656545656422).

The spelling of 120213322344401 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred twenty-two million, three hundred forty-four thousand, four hundred one".

Divisors: 1 11 13 23 101 127 143 253 299 1111 1117 1313 1397 1651 2323 2551 2921 3289 12287 12827 14443 14521 18161 25553 25691 28061 30199 32131 33163 37973 58673 112817 141097 141859 159731 166751 257651 282601 295021 323977 332189 333983 364793 417703 645403 762749 1240987 1466621 1560449 1834261 1844167 2594791 2834161 2849467 3245231 3262757 3349463 3563747 3673813 3835273 4211701 5925973 7451471 8390239 14327759 16132831 20285837 28542701 31344137 32721677 33732283 35890327 36844093 37043071 42188003 42415841 46328711 65185703 65537741 77037649 81966181 96869123 157605349 186260867 287796167 329538457 359938447 361882309 371055113 407473781 425381801 466574251 720915151 752598571 847414139 851990633 1065560353 2048869537 3165757837 3624923027 3741350171 3980705399 4283999941 4679199811 4704470017 6619311841 8278584281 8323293107 9371896963 9783781423 36550113209 41154851881 47123999351 51749170187 72812430251 86051053933 91556224177 107621595653 108202810391 402051245299 475151471717 840652603807 946561593263 1190230914301 5226666188887 9247178641877 10928483849491 120213322344401