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23111023120 = 24553127167257
BaseRepresentation
bin10101100001100001…
…100011101000010000
32012122122110121200021
4111201201203220100
5334312410214440
614341141233224
71445466312103
oct254141435020
965578417607
1023111023120
11988a62a809
12458ba02814
132244092113
14119354c73a
15903e4084a
hex561863a10

23111023120 has 160 divisors (see below), whose sum is σ = 55724433408. Its totient is φ = 8909881344.

The previous prime is 23111023109. The next prime is 23111023123. The reversal of 23111023120 is 2132011132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23111023094 and 23111023103.

It is not an unprimeable number, because it can be changed into a prime (23111023123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89926032 + ... + 89926288.

Almost surely, 223111023120 is an apocalyptic number.

23111023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23111023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862216704).

23111023120 is an abundant number, since it is smaller than the sum of its proper divisors (32613410288).

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

23111023120 is a wasteful number, since it uses less digits than its factorization.

23111023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 23111023120 its reverse (2132011132), we get a palindrome (25243034252).

The spelling of 23111023120 in words is "twenty-three billion, one hundred eleven million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 127 167 212 254 257 265 334 424 508 514 530 635 668 835 848 1016 1028 1060 1270 1285 1336 1670 2032 2056 2120 2540 2570 2672 3340 4112 4240 5080 5140 6680 6731 8851 10160 10280 13360 13462 13621 17702 20560 21209 26924 27242 32639 33655 35404 42418 42919 44255 53848 54484 65278 67310 68105 70808 84836 85838 88510 106045 107696 108968 130556 134620 136210 141616 163195 169672 171676 177020 212090 214595 217936 261112 269240 272420 326390 339344 343352 354040 424180 429190 522224 538480 544840 652780 686704 708080 848360 858380 1089680 1124077 1305560 1696720 1716760 1729867 2248154 2274707 2611120 3433520 3459734 4496308 4549414 5450713 5620385 6919468 8649335 8992616 9098828 10901426 11240770 11373535 13838936 17298670 17985232 18197656 21802852 22481540 22747070 27253565 27677872 34597340 36395312 43605704 44963080 45494140 54507130 69194680 87211408 89926160 90988280 109014260 138389360 181976560 218028520 288887789 436057040 577775578 1155551156 1444438945 2311102312 2888877890 4622204624 5777755780 11555511560 23111023120