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202122111102102 = 232296113148455401
BaseRepresentation
bin101101111101010000111000…
…101000100010110010010110
3222111122200111110001121200200
4231331100320220202302112
5202443032040420231402
61553513341015121330
760400561223131602
oct5575207050426226
9874580443047620
10202122111102102
115944756244a534
121a804752073246
1388a20581b4849
1437caa95d56502
1518579d752e21c
hexb7d438a22c96

202122111102102 has 96 divisors (see below), whose sum is σ = 463974041662560. Its totient is φ = 63495956160000.

The previous prime is 202122111102049. The next prime is 202122111102127. The reversal of 202122111102102 is 201201111221202.

202122111102102 is a `hidden beast` number, since 20 + 212 + 211 + 1 + 10 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 20056399 + ... + 28399002.

It is an arithmetic number, because the mean of its divisors is an integer number (4833062933985).

Almost surely, 2202122111102102 is an apocalyptic number.

202122111102102 is an abundant number, since it is smaller than the sum of its proper divisors (261851930560458).

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

202122111102102 is a wasteful number, since it uses less digits than its factorization.

202122111102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48455630 (or 48455627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202122111102102 its reverse (201201111221202), we get a palindrome (403323222323304).

The spelling of 202122111102102 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 131 174 183 261 262 366 393 522 549 786 1098 1179 1769 2358 3538 3799 5307 7598 7991 10614 11397 15921 15982 22794 23973 31842 34191 47946 68382 71919 143838 231739 463478 695217 1390434 2085651 4171302 48455401 96910802 145366203 290732406 436098609 872197218 1405206629 2810413258 2955779461 4215619887 5911558922 6347657531 8431239774 8867338383 12646859661 12695315062 17734676766 19042972593 25293719322 26602015149 38085945186 53204030298 57128917779 85717604369 114257835558 171435208738 184082068399 257152813107 368164136798 387207109391 514305626214 552246205197 771458439321 774414218782 1104492410394 1161621328173 1542916878642 1656738615591 2323242656346 3313477231182 3484863984519 6969727969038 11229006172339 22458012344678 33687018517017 67374037034034 101061055551051 202122111102102