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201342220002 = 232721141949529
BaseRepresentation
bin1011101110000011101…
…1100111011011100010
3201020200212220112012100
42323200323213123202
511244322102020002
6232254554311230
720355306426600
oct2734073473342
9636625815170
10201342220002
1178430485a30
1233031128516
1315ca941a2b1
149a60472870
15538620411c
hex2ee0ee76e2

201342220002 has 144 divisors (see below), whose sum is σ = 554930157600. Its totient is φ = 52170814080.

The previous prime is 201342219971. The next prime is 201342220039. The reversal of 201342220002 is 200022243102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4040374 + ... + 4089902.

It is an arithmetic number, because the mean of its divisors is an integer number (3853681650).

Almost surely, 2201342220002 is an apocalyptic number.

201342220002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201342220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277465078800).

201342220002 is an abundant number, since it is smaller than the sum of its proper divisors (353587937598).

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

201342220002 is a wasteful number, since it uses less digits than its factorization.

201342220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49981 (or 49971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201342220002 its reverse (200022243102), we get a palindrome (401364463104).

The spelling of 201342220002 in words is "two hundred one billion, three hundred forty-two million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 419 441 462 539 693 838 882 1078 1257 1386 1617 2514 2933 3234 3771 4609 4851 5866 7542 8799 9218 9702 13827 17598 20531 26397 27654 32263 41062 41481 49529 52794 61593 64526 82962 96789 99058 123186 148587 184779 193578 225841 290367 297174 346703 369558 445761 451682 544819 580734 677523 693406 891522 1040109 1089638 1355046 1634457 2032569 2080218 2426921 3120327 3268914 3813733 4065138 4853842 4903371 6240654 7280763 7627466 9806742 11441199 14561526 20752651 21842289 22882398 26696131 34323597 41505302 43684578 53392262 62257953 68647194 80088393 124515906 145268557 160176786 186773859 228279161 240265179 290537114 373547718 435805671 456558322 480530358 684837483 871611342 1016879899 1307417013 1369674966 1597954127 2033759798 2054512449 2614834026 3050639697 3195908254 4109024898 4793862381 6101279394 9151919091 9587724762 11185678889 14381587143 18303838182 22371357778 28763174286 33557036667 67114073334 100671110001 201342220002