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102022111002111 = 31729795211675951
BaseRepresentation
bin10111001100100111011111…
…101011110111110111111111
3111101020012220022220122222220
4113030213133223313313333
5101333012240404031421
61000552151043140423
730326566006103316
oct2714473753676777
9441205808818886
10102022111002111
112a564374a4a123
12b53869a674713
1344c084a525801
141b29c7a09927d
15bbdc68a053c6
hex5cc9dfaf7dff

102022111002111 has 64 divisors (see below), whose sum is σ = 151173551923200. Its totient is φ = 60906972672000.

The previous prime is 102022111002083. The next prime is 102022111002121. The reversal of 102022111002111 is 111200111220201.

It is a happy number.

It is not a de Polignac number, because 102022111002111 - 215 = 102022110969343 is a prime.

It is a super-2 number, since 2×1020221110021112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022111002121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60036186 + ... + 61712136.

It is an arithmetic number, because the mean of its divisors is an integer number (2362086748800).

Almost surely, 2102022111002111 is an apocalyptic number.

102022111002111 is a deficient number, since it is larger than the sum of its proper divisors (49151440921089).

102022111002111 is a wasteful number, since it uses less digits than its factorization.

102022111002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676600.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102022111002111 its reverse (111200111220201), we get a palindrome (213222222222312).

The spelling of 102022111002111 in words is "one hundred two trillion, twenty-two billion, one hundred eleven million, two thousand, one hundred eleven".

Divisors: 1 3 17 29 51 79 87 237 493 521 1343 1479 1563 2291 4029 6873 8857 15109 26571 38947 41159 45327 116841 123477 256853 699703 770559 1193611 1675951 2099109 3580833 5027853 20291387 28491167 48602579 60874161 85473501 132400129 145807737 397200387 826243843 873170471 2250802193 2478731529 2619511413 3839603741 6752406579 11518811223 14843898007 25321943659 44531694021 65273263597 68980467209 75965830977 195819790791 206941401627 430473042203 1172667942553 1291419126609 2000433549061 3518003827659 6001300647183 34007370334037 102022111002111