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101322100330 = 25112239293919
BaseRepresentation
bin101111001011101000…
…1001000111001101010
3100200112022101222221121
41132113101020321222
53130001424202310
6114314032125454
710214566433263
oct1362721107152
9320468358847
10101322100330
1139a74758700
121777869688a
1397296b4b29
144c9289596a
1529803430da
hex1797448e6a

101322100330 has 96 divisors (see below), whose sum is σ = 209461593600. Its totient is φ = 35195550720.

The previous prime is 101322100301. The next prime is 101322100339. The reversal of 101322100330 is 33001223101.

It is a super-2 number, since 2×1013221003302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101322100339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25852111 + ... + 25856029.

It is an arithmetic number, because the mean of its divisors is an integer number (2181891600).

Almost surely, 2101322100330 is an apocalyptic number.

101322100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101322100330 is an abundant number, since it is smaller than the sum of its proper divisors (108139493270).

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

101322100330 is a wasteful number, since it uses less digits than its factorization.

101322100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101322100330 its reverse (33001223101), we get a palindrome (134323323431).

The spelling of 101322100330 in words is "one hundred one billion, three hundred twenty-two million, one hundred thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 121 230 242 253 506 605 929 1210 1265 1858 2530 2783 3919 4645 5566 7838 9290 10219 13915 19595 20438 21367 27830 39190 42734 43109 51095 86218 90137 102190 106835 112409 180274 213670 215545 224818 235037 431090 450685 470074 474199 562045 901370 948398 991507 1124090 1175185 1983014 2350370 2370995 2585407 3640751 4741990 4957535 5170814 7281502 9915070 10906577 12927035 18203755 21813154 25854070 36407510 40048261 54532885 80096522 83737273 109065770 167474546 200241305 400482610 418686365 440530871 837372730 881061742 921110003 1842220006 2202654355 4405308710 4605550015 9211100030 10132210033 20264420066 50661050165 101322100330