Search a number
-
+
102033110201220 = 2232511371392753347
BaseRepresentation
bin10111001100110001101111…
…010010011111001110000100
3111101021021021212211212121200
4113030301233102133032010
5101333202302202414340
61001001210322142500
730330435405542232
oct2714615722371604
9441237255755550
10102033110201220
112a568aa9790220
12b53a84a1b1a30
1344c18b122c753
141b2a600bdb952
15bbe1ae487330
hex5ccc6f49f384

102033110201220 has 144 divisors (see below), whose sum is σ = 346762157571648. Its totient is φ = 24066777818880.

The previous prime is 102033110201213. The next prime is 102033110201263. The reversal of 102033110201220 is 22102011330201.

102033110201220 is a `hidden beast` number, since 1 + 0 + 203 + 31 + 10 + 201 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102033110201193 and 102033110201202.

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, 696303414 + ... + 696449933.

It is an arithmetic number, because the mean of its divisors is an integer number (2408070538692).

Almost surely, 2102033110201220 is an apocalyptic number.

102033110201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033110201220 is an abundant number, since it is smaller than the sum of its proper divisors (244729047370428).

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

102033110201220 is a wasteful number, since it uses less digits than its factorization.

102033110201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392753410 (or 1392753405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102033110201220 its reverse (22102011330201), we get a palindrome (124135121531421).

The spelling of 102033110201220 in words is "one hundred two trillion, thirty-three billion, one hundred ten million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 1392753347 2785506694 4178260041 5571013388 6963766735 8356520082 12534780123 13927533470 15320286817 16713040164 20891300205 25069560246 27855066940 30640573634 41782600410 45960860451 50139120492 51531873839 61281147268 62673900615 76601434085 83565200820 91921720902 103063747678 125347801230 137882581353 153202868170 154595621517 183843441804 206127495356 229804302255 250695602460 257659369195 275765162706 306405736340 309191243034 459608604510 463786864551 515318738390 551530325412 566850612229 618382486068 689412906765 772978107585 919217209020 927573729102 1030637476780 1133701224458 1378825813530 1545956215170 1700551836687 1855147458204 2267402448916 2318934322755 2757651627060 2834253061145 3091912430340 3401103673374 4637868645510 5101655510061 5668506122290 6802207346748 8502759183435 9275737291020 10203311020122 11337012244580 17005518366870 20406622040244 25508277550305 34011036733740 51016555100610 102033110201220