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101355202088 = 2373312115647
BaseRepresentation
bin101111001100100111…
…1011010011000101000
3100200121121200202000122
41132121033122120220
53130033412431323
6114321213422412
710215451001000
oct1363117323050
9320547622018
10101355202088
1139a91407528
121778779aa08
13973350487a
144c97031000
1529831d0ec8
hex17993da628

101355202088 has 128 divisors (see below), whose sum is σ = 229896192000. Its totient is φ = 41830084800.

The previous prime is 101355202049. The next prime is 101355202093. The reversal of 101355202088 is 880202553101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17945681 + ... + 17951327.

It is an arithmetic number, because the mean of its divisors is an integer number (1796064000).

Almost surely, 2101355202088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101355202088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114948096000).

101355202088 is an abundant number, since it is smaller than the sum of its proper divisors (128540989912).

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

101355202088 is a wasteful number, since it uses less digits than its factorization.

101355202088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

Adding to 101355202088 its reverse (880202553101), we get a palindrome (981557755189).

The spelling of 101355202088 in words is "one hundred one billion, three hundred fifty-five million, two hundred two thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 211 217 248 343 392 422 434 686 844 868 1372 1477 1519 1688 1736 2744 2954 3038 5647 5908 6076 6541 10339 10633 11294 11816 12152 13082 20678 21266 22588 26164 39529 41356 42532 45176 45787 52328 72373 79058 82712 85064 91574 144746 158116 175057 183148 276703 289492 316232 320509 350114 366296 553406 578984 641018 700228 1106812 1191517 1225399 1282036 1400456 1936921 2213624 2243563 2383034 2450798 2564072 3873842 4487126 4766068 4901596 7747684 8340619 8577793 8974252 9532136 9803192 15495368 16681238 17155586 17948504 33362476 34311172 36937027 58384333 60044551 66724952 68622344 73874054 116768666 120089102 147748108 233537332 240178204 258559189 295496216 408690331 467074664 480356408 517118378 817380662 1034236756 1634761324 1809914323 2068473512 3269522648 3619828646 7239657292 12669400261 14479314584 25338800522 50677601044 101355202088