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102022020022110 = 23561683178745677
BaseRepresentation
bin10111001100100111011010…
…010000110011111101011110
3111101020012122222201101220020
4113030213122100303331132
5101333012044111201420
61000552134033133010
730326563522556436
oct2714473220637536
9441205588641806
10102022020022110
112a564328659541
12b5386740ba166
1344c083471c7a6
141b29c6bd752c6
15bbdc60a33340
hex5cc9da433f5e

102022020022110 has 128 divisors (see below), whose sum is σ = 249376130763264. Its totient is φ = 26705156712960.

The previous prime is 102022020022079. The next prime is 102022020022141. The reversal of 102022020022110 is 11220020220201.

It is an interprime number because it is at equal distance from previous prime (102022020022079) and next prime (102022020022141).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102022020022110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2233530592 + ... + 2233576268.

It is an arithmetic number, because the mean of its divisors is an integer number (1948251021588).

Almost surely, 2102022020022110 is an apocalyptic number.

102022020022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022020022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124688065381632).

102022020022110 is an abundant number, since it is smaller than the sum of its proper divisors (147354110741154).

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

102022020022110 is a wasteful number, since it uses less digits than its factorization.

102022020022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48218.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102022020022110 its reverse (11220020220201), we get a palindrome (113242040242311).

The spelling of 102022020022110 in words is "one hundred two trillion, twenty-two billion, twenty million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 683 915 1366 1787 1830 2049 3415 3574 4098 5361 6830 8935 10245 10722 17870 20490 26805 41663 45677 53610 83326 91354 109007 124989 137031 208315 218014 228385 249978 274062 327021 416630 456770 545035 624945 654042 685155 1090070 1220521 1249890 1370310 1635105 2441042 2786297 3270210 3661563 5572594 6102605 7323126 8358891 12205210 13931485 16717782 18307815 27862970 31197391 36615630 41794455 62394782 74451781 81624799 83588910 93592173 148903562 155986955 163249598 187184346 223355343 244874397 311973910 372258905 408123995 446710686 467960865 489748794 744517810 816247990 935921730 1116776715 1224371985 1903040851 2233553430 2448743970 3806081702 4979112739 5709122553 9515204255 9958225478 11418245106 14937338217 19030408510 24895563695 28545612765 29874676434 49791127390 55749737717 57091225530 74686691085 111499475434 149373382170 167249213151 278748688585 334498426302 557497377170 836246065755 1672492131510 3400734000737 6801468001474 10202202002211 17003670003685 20404404004422 34007340007370 51011010011055 102022020022110