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101120100224 = 2711135524481
BaseRepresentation
bin101111000101100111…
…0100100011110000000
3100200000020022022220012
41132023032210132000
53124043221201344
6114242014404052
710206564445553
oct1361316443600
9320006268805
10101120100224
1139980729a70
1217720b00628
1396c68aa340
144c73b1269a
15296c74129e
hex178b3a4780

101120100224 has 64 divisors (see below), whose sum is σ = 236668808880. Its totient is φ = 42428006400.

The previous prime is 101120100223. The next prime is 101120100229. The reversal of 101120100224 is 422001021101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101120100199 and 101120100208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2743937 + ... + 2780544.

Almost surely, 2101120100224 is an apocalyptic number.

It is an amenable number.

101120100224 is an abundant number, since it is smaller than the sum of its proper divisors (135548708656).

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

101120100224 is a wasteful number, since it uses less digits than its factorization.

101120100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524519 (or 5524507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101120100224 its reverse (422001021101), we get a palindrome (523121121325).

The spelling of 101120100224 in words is "one hundred one billion, one hundred twenty million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 18304 5524481 11048962 22097924 44195848 60769291 71818253 88391696 121538582 143636506 176783392 243077164 287273012 353566784 486154328 574546024 707133568 790000783 972308656 1149092048 1580001566 1944617312 2298184096 3160003132 3889234624 4596368192 6320006264 7778469248 9192736384 12640012528 25280025056 50560050112 101120100224