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102055505313300 = 223527114417987243
BaseRepresentation
bin10111001101000110100110…
…001001000011111000010100
3111101100102002122012102222020
4113031012212021003320110
5101334034133330011200
61001015352451133140
730332160363054210
oct2715064611037024
9441312078172866
10102055505313300
112a577551193410
12b54305a2a41b0
1344c3a3cba1266
141b2b72722d940
15bbea70610ea0
hex5cd1a6243e14

102055505313300 has 144 divisors (see below), whose sum is σ = 368142041068032. Its totient is φ = 21206338761600.

The previous prime is 102055505313227. The next prime is 102055505313329. The reversal of 102055505313300 is 3313505550201.

It is a happy number.

102055505313300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2208970522 + ... + 2209016721.

Almost surely, 2102055505313300 is an apocalyptic number.

102055505313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102055505313300 is an abundant number, since it is smaller than the sum of its proper divisors (266086535754732).

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

102055505313300 is a wasteful number, since it uses less digits than its factorization.

102055505313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417987278 (or 4417987271 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 33.

The spelling of 102055505313300 in words is "one hundred two trillion, fifty-five billion, five hundred five million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 4417987243 8835974486 13253961729 17671948972 22089936215 26507923458 30925910701 44179872430 48597859673 53015846916 61851821402 66269808645 88359744860 92777732103 97195719346 110449681075 123703642804 132539617290 145793579019 154629553505 185555464206 194391438692 220899362150 242989298365 265079234580 291587158038 309259107010 331349043225 340185017711 371110928412 441798724300 463888660515 485978596730 583174316076 618518214020 662698086450 680370035422 728967895095 773147767525 927777321030 971957193460 1020555053133 1214946491825 1325396172900 1360740070844 1457935790190 1546295535050 1700925088555 1855554642060 2041110106266 2319443302575 2429892983650 2915871580380 3092591070100 3401850177110 3644839475475 4082220212532 4638886605150 4859785967300 5102775265665 6803700354220 7289678950950 8504625442775 9277773210300 10205550531330 14579357901900 17009250885550 20411101062660 25513876328325 34018501771100 51027752656650 102055505313300