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102021120022212 = 2232191861363122073
BaseRepresentation
bin10111001100100110100100…
…100111100101011011000100
3111101020010100021012200010200
4113030212210213211123010
5101333003223211202322
61000551504443050500
730326532313651146
oct2714464447453304
9441203307180120
10102021120022212
112a563a06627276
12b538462810a30
1344c0720126181
141b29bc4618c96
15bbdc0ba068ac
hex5cc9a49e56c4

102021120022212 has 144 divisors (see below), whose sum is σ = 271692683109120. Its totient is φ = 32189557593600.

The previous prime is 102021120022201. The next prime is 102021120022219. The reversal of 102021120022212 is 212220021120201.

It is a happy number.

102021120022212 is a `hidden beast` number, since 1 + 0 + 20 + 211 + 200 + 22 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102021120022219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4621976008 + ... + 4621998080.

Almost surely, 2102021120022212 is an apocalyptic number.

102021120022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021120022212 is an abundant number, since it is smaller than the sum of its proper divisors (169671563086908).

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

102021120022212 is a wasteful number, since it uses less digits than its factorization.

102021120022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27594 (or 27589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021120022212 its reverse (212220021120201), we get a palindrome (314241141142413).

The spelling of 102021120022212 in words is "one hundred two trillion, twenty-one billion, one hundred twenty million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1861 3631 3722 5583 7262 7444 10893 11166 14524 16749 21786 22073 22332 32679 33498 35359 43572 44146 65358 66219 66996 68989 70718 88292 106077 130716 132438 137978 141436 198657 206967 212154 264876 275956 318231 397314 413934 419387 424308 620901 636462 794628 827868 838774 1241802 1258161 1272924 1677548 2483604 2516322 3774483 5032644 6757291 7548966 13514582 15097932 20271873 27029164 40543746 41077853 60815619 80147063 81087492 82155706 121631238 123233559 128388529 160294126 164311412 240441189 243262476 246467118 256777058 320588252 369700677 385165587 480882378 492934236 513554116 721323567 739401354 770331174 780479207 961764756 1155496761 1442647134 1478802708 1522794197 1540662348 1560958414 2310993522 2341437621 2885294268 3045588394 3121916828 4568382591 4621987044 4682875242 6091176788 7024312863 9136765182 9365750484 13705147773 14048625726 18273530364 27410295546 28097251452 54820591092 149153684243 298307368486 447461052729 596614736972 894922105458 1342383158187 1789844210916 2684766316374 2833920000617 5369532632748 5667840001234 8501760001851 11335680002468 17003520003702 25505280005553 34007040007404 51010560011106 102021120022212