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101123340444 = 223271921120163
BaseRepresentation
bin101111000101101101…
…0111011100010011100
3100200000110101221122100
41132023122323202130
53124100033343234
6114242212045100
710206634132350
oct1361332734234
9320013357570
10101123340444
1139982542435
1217722003790
1396c7473129
144c74317460
15296cb81399
hex178b6bb89c

101123340444 has 72 divisors (see below), whose sum is σ = 307509587840. Its totient is φ = 27371729952.

The previous prime is 101123340391. The next prime is 101123340469. The reversal of 101123340444 is 444043321101.

101123340444 is a `hidden beast` number, since 10 + 11 + 233 + 404 + 4 + 4 = 666.

It is a super-2 number, since 2×1011233404442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10555294 + ... + 10564869.

Almost surely, 2101123340444 is an apocalyptic number.

101123340444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101123340444 is an abundant number, since it is smaller than the sum of its proper divisors (206386247396).

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

101123340444 is a wasteful number, since it uses less digits than its factorization.

101123340444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120199 (or 21120194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101123340444 its reverse (444043321101), we get a palindrome (545166661545).

The spelling of 101123340444 in words is "one hundred one billion, one hundred twenty-three million, three hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 21120163 42240326 63360489 84480652 126720978 147841141 190081467 253441956 295682282 380162934 401283097 443523423 591364564 760325868 802566194 887046846 1203849291 1330570269 1605132388 1774093692 2407698582 2661140538 2808981679 3611547873 4815397164 5322281076 5617963358 7223095746 8426945037 11235926716 14446191492 16853890074 25280835111 33707780148 50561670222 101123340444