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10233000120 = 2335759206477
BaseRepresentation
bin10011000011110111…
…10011000010111000
3222102011012021012110
421201323303002320
5131424122000440
64411224412320
7511404031410
oct114173630270
928364167173
1010233000120
1143812974a2
121b970170a0
13c7105a175
146d1095640
153ed585080
hex261ef30b8

10233000120 has 128 divisors (see below), whose sum is σ = 35679398400. Its totient is φ = 2299316736.

The previous prime is 10233000119. The next prime is 10233000137. The reversal of 10233000120 is 2100033201.

It is a happy number.

10233000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10233000096 and 10233000105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53679 + ... + 152798.

It is an arithmetic number, because the mean of its divisors is an integer number (278745300).

Almost surely, 210233000120 is an apocalyptic number.

10233000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233000120 is an abundant number, since it is smaller than the sum of its proper divisors (25446398280).

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

10233000120 is a wasteful number, since it uses less digits than its factorization.

10233000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206557 (or 206553 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10233000120 its reverse (2100033201), we get a palindrome (12333033321).

The spelling of 10233000120 in words is "ten billion, two hundred thirty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 472 590 708 826 840 885 1180 1239 1416 1652 1770 2065 2360 2478 3304 3540 4130 4956 6195 7080 8260 9912 12390 16520 24780 49560 206477 412954 619431 825908 1032385 1238862 1445339 1651816 2064770 2477724 2890678 3097155 4129540 4336017 4955448 5781356 6194310 7226695 8259080 8672034 11562712 12182143 12388620 14453390 17344068 21680085 24364286 24777240 28906780 34688136 36546429 43360170 48728572 57813560 60910715 73092858 85275001 86720340 97457144 121821430 146185716 170550002 173440680 182732145 243642860 255825003 292371432 341100004 365464290 426375005 487285720 511650006 682200008 730928580 852750010 1023300012 1279125015 1461857160 1705500020 2046600024 2558250030 3411000040 5116500060 10233000120