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102201230101212 = 2232112294192689747
BaseRepresentation
bin10111001111001110010100…
…000001000000101011011100
3111101212100020110002200101100
4113033032110001000223130
5101343431104401214322
61001210332535113100
730345536520242244
oct2717162401005334
9441770213080340
10102201230101212
112a623331014430
12b567349212790
1345046c47cca08
141b347cccaab24
15bc374dc05dac
hex5cf394040adc

102201230101212 has 144 divisors (see below), whose sum is σ = 283733985225600. Its totient is φ = 30761226334080.

The previous prime is 102201230101109. The next prime is 102201230101241. The reversal of 102201230101212 is 212101032102201.

102201230101212 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 230 + 1 + 0 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36651723 + ... + 39341469.

It is an arithmetic number, because the mean of its divisors is an integer number (1970374897400).

Almost surely, 2102201230101212 is an apocalyptic number.

102201230101212 is a gapful number since it is divisible by the number (12) 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 102201230101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141866992612800).

102201230101212 is an abundant number, since it is smaller than the sum of its proper divisors (181532755124388).

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

102201230101212 is a wasteful number, since it uses less digits than its factorization.

102201230101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690416 (or 2690411 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102201230101212 its reverse (212101032102201), we get a palindrome (314302262203413).

The spelling of 102201230101212 in words is "one hundred two trillion, two hundred one billion, two hundred thirty million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 229 396 419 458 687 838 916 1257 1374 1676 2061 2514 2519 2748 3771 4122 4609 5028 5038 7542 7557 8244 9218 10076 13827 15084 15114 18436 22671 27654 30228 41481 45342 55308 82962 90684 95951 165924 191902 287853 383804 575706 863559 1055461 1151412 1727118 2110922 2689747 3166383 3454236 4221844 5379494 6332766 8069241 9499149 10758988 12665532 16138482 18998298 24207723 29587217 32276964 37996596 48415446 59174434 88761651 96830892 118348868 177523302 266284953 355046604 532569906 615952063 1065139812 1127003993 1231904126 1847856189 2254007986 2463808252 3381011979 3695712378 4508015972 5543568567 6762023958 6775472693 7391424756 10143035937 11087137134 12397043923 13524047916 13550945386 20286071874 20326418079 22174274268 24794087846 27101890772 37191131769 40572143748 40652836158 49588175692 60979254237 74382263538 81305672316 111573395307 121958508474 148764527076 223146790614 243917016948 258083914397 446293581228 516167828794 774251743191 1032335657588 1548503486382 2322755229573 2838923058367 3097006972764 4645510459146 5677846116734 8516769175101 9291020918292 11355692233468 17033538350202 25550307525303 34067076700404 51100615050606 102201230101212