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10011132144 = 243413594203
BaseRepresentation
bin10010101001011010…
…11100000011110000
3221211200201012120000
421110231130003300
5131000322212034
64333221150000
7503041135116
oct112455340360
927750635500
1010011132144
114278028832
121b3485b300
13c370b7440
146ad81dab6
153d8d5b599
hex254b5c0f0

10011132144 has 100 divisors (see below), whose sum is σ = 31204028856. Its totient is φ = 3080343168.

The previous prime is 10011132127. The next prime is 10011132149. The reversal of 10011132144 is 44123111001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011132149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 280254 + ... + 313949.

Almost surely, 210011132144 is an apocalyptic number.

It is an amenable number.

10011132144 is an abundant number, since it is smaller than the sum of its proper divisors (21192896712).

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

10011132144 is a wasteful number, since it uses less digits than its factorization.

10011132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594236 (or 594221 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10011132144 its reverse (44123111001), we get a palindrome (54134243145).

The spelling of 10011132144 in words is "ten billion, eleven million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 594203 1188406 1782609 2376812 3565218 4753624 5347827 7130436 7724639 9507248 10695654 14260872 15449278 16043481 21391308 23173917 28521744 30898556 32086962 42782616 46347834 48130443 61797112 64173924 69521751 85565232 92695668 96260886 123594224 128347848 139043502 185391336 192521772 208565253 256695696 278087004 370782672 385043544 417130506 556174008 625695759 770087088 834261012 1112348016 1251391518 1668522024 2502783036 3337044048 5005566072 10011132144