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120201012111102 = 231383137163831433
BaseRepresentation
bin11011010101001001111010…
…101000001110011011111110
3120202121002211012112021212020
4123111021322220032123332
5111223333133100023402
61103351325504021010
734214144064013326
oct3325117250163376
9522532735467766
10120201012111102
1135332a6578046a
1211593917901766
13520bba3336750
142197a8d732286
15dd6a8689e8bc
hex6d527aa0e6fe

120201012111102 has 128 divisors (see below), whose sum is σ = 265545705632256. Its totient is φ = 36050040133632.

The previous prime is 120201012111091. The next prime is 120201012111127. The reversal of 120201012111102 is 201111210102021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144155178 + ... + 144986610.

It is an arithmetic number, because the mean of its divisors is an integer number (2074575825252).

Almost surely, 2120201012111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120201012111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132772852816128).

120201012111102 is an abundant number, since it is smaller than the sum of its proper divisors (145344693521154).

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

120201012111102 is a wasteful number, since it uses less digits than its factorization.

120201012111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831834.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120201012111102 its reverse (201111210102021), we get a palindrome (321312222213123).

The spelling of 120201012111102 in words is "one hundred twenty trillion, two hundred one billion, twelve million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 83 137 163 166 249 274 326 411 489 498 822 978 1079 1781 2119 2158 3237 3562 4238 5343 6357 6474 10686 11371 12714 13529 22331 22742 27058 34113 40587 44662 66993 68226 81174 133986 147823 175877 290303 295646 351754 443469 527631 580606 831433 870909 886938 1055262 1662866 1741818 1853473 2494299 3706946 4988598 5560419 10808629 11120838 21617258 24095149 32425887 48190298 64851774 69008939 72285447 113906321 135523579 138017878 144570894 207026817 227812642 271047158 341718963 406570737 414053634 683437926 813141474 897116207 1480782173 1761806527 1794232414 2691348621 2961564346 3523613054 4442346519 5285419581 5382697242 8884693038 9454224643 10570839162 11248457057 18566730323 18908449286 22496914114 28362673929 33745371171 37133460646 55700190969 56725347858 67490742342 111400381938 122904920359 146229941741 241367494199 245809840718 292459883482 368714761077 438689825223 482734988398 724102482597 737429522154 877379650446 1448204965194 1541038616809 3082077233618 4623115850427 9246231700854 20033502018517 40067004037034 60100506055551 120201012111102