Search a number
-
+
102012211202202 = 2347733154379537
BaseRepresentation
bin10111001100011110010001…
…100111001000100010011010
3111101012021100101200201120000
4113030132101213020202122
5101332332002031432302
61000543432440113430
730326065456146030
oct2714362147104232
9441167311621500
10102012211202202
112a560154852a04
12b536797165876
1344bc93051bc42
141b295bb37a550
15bbd88983b31c
hex5cc7919c889a

102012211202202 has 160 divisors (see below), whose sum is σ = 261766842408192. Its totient is φ = 29087353622016.

The previous prime is 102012211202197. The next prime is 102012211202207. The reversal of 102012211202202 is 202202112210201.

It is a happy number.

102012211202202 is a `hidden beast` number, since 1 + 0 + 201 + 221 + 1 + 20 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102012211202197) and next prime (102012211202207).

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 (102012211202207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1282535778 + ... + 1282615314.

Almost surely, 2102012211202202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012211202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130883421204096).

102012211202202 is an abundant number, since it is smaller than the sum of its proper divisors (159754631205990).

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

102012211202202 is a wasteful number, since it uses less digits than its factorization.

102012211202202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81834 (or 81825 counting only the distinct ones).

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

Adding to 102012211202202 its reverse (202202112210201), we get a palindrome (304214323412403).

The spelling of 102012211202202 in words is "one hundred two trillion, twelve billion, two hundred eleven million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 733 1134 1466 1543 2199 3086 4398 4629 5131 6597 9258 10262 10801 13194 13887 15393 19791 21602 27774 30786 32403 39582 41661 46179 59373 64806 79537 83322 92358 97209 118746 124983 138537 159074 194418 238611 249966 277074 291627 415611 477222 556759 583254 715833 831222 874881 1113518 1131019 1431666 1670277 1749762 2147499 2262038 3340554 3393057 4294998 5010831 6442497 6786114 7917133 10021662 10179171 12884994 15032493 15834266 20358342 23751399 30064986 30537513 45097479 47502798 58300621 61075026 71254197 90194958 91612539 116601242 122725591 142508394 174901863 183225078 213762591 245451182 349803726 368176773 408104347 427525182 524705589 641287773 736353546 816208694 859079137 1049411178 1104530319 1224313041 1282575546 1574116767 1718158274 2209060638 2448626082 2577237411 3148233534 3313590957 3672939123 4722350301 5154474822 6627181914 7345878246 7731712233 9444700602 9940772871 11018817369 15463424466 19881545742 22037634738 23195136699 33056452107 46390273398 66112904214 69585410097 89957858203 139170820194 179915716406 269873574609 539747149218 629705007421 809620723827 1259410014842 1619241447654 1889115022263 2428862171481 3778230044526 4857724342962 5667345066789 7286586514443 11334690133578 14573173028886 17002035200367 34004070400734 51006105601101 102012211202202