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102101441442 = 237111361278687
BaseRepresentation
bin101111100010110111…
…0000101101110100010
3100202112121212121222020
41133011232011232202
53133100432111232
6114523232122310
710243111634640
oct1370556055642
9322477777866
10102101441442
113a334669170
1217955696396
139821cb3710
144d281a4190
1529c8988e2c
hex17c5b85ba2

102101441442 has 128 divisors (see below), whose sum is σ = 278670163968. Its totient is φ = 24078470400.

The previous prime is 102101441413. The next prime is 102101441447. The reversal of 102101441442 is 244144101201.

It is not an unprimeable number, because it can be changed into a prime (102101441447) 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, 227023 + ... + 505709.

It is an arithmetic number, because the mean of its divisors is an integer number (2177110656).

Almost surely, 2102101441442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101441442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139335081984).

102101441442 is an abundant number, since it is smaller than the sum of its proper divisors (176568722526).

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

102101441442 is a wasteful number, since it uses less digits than its factorization.

102101441442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278784.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102101441442 its reverse (244144101201), we get a palindrome (346245542643).

The spelling of 102101441442 in words is "one hundred two billion, one hundred one million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 61 66 77 78 91 122 143 154 182 183 231 273 286 366 427 429 462 546 671 793 854 858 1001 1281 1342 1586 2002 2013 2379 2562 3003 4026 4697 4758 5551 6006 8723 9394 11102 14091 16653 17446 26169 28182 33306 52338 61061 122122 183183 278687 366366 557374 836061 1672122 1950809 3065557 3622931 3901618 5852427 6131114 7245862 9196671 10868793 11704854 16999907 18393342 21458899 21737586 25360517 33999814 39852241 42917798 50721034 50999721 64376697 76081551 79704482 101999442 118999349 119556723 128753394 152163102 186998977 220998791 237998698 239113446 278965687 356998047 373997954 441997582 557931374 560996931 662996373 713996094 836897061 1121993862 1308992839 1325992746 1546991537 1673794122 2430986701 2617985678 3093983074 3926978517 4640974611 4861973402 7292960103 7853957034 9281949222 14585920206 17016906907 34033813814 51050720721 102101441442