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10220033142 = 2331153734447
BaseRepresentation
bin10011000010010100…
…10101010001110110
3222101020210110212000
421201022111101312
5131412312030032
64410042440130
7511155563664
oct114112252166
928336713760
1010220033142
114374a40190
121b92803046
13c6b469cb7
146cd47bc34
153ec372e7c
hex261295476

10220033142 has 128 divisors (see below), whose sum is σ = 25594859520. Its totient is φ = 2996248320.

The previous prime is 10220033023. The next prime is 10220033143. The reversal of 10220033142 is 24133002201.

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 (10220033143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2295963 + ... + 2300409.

It is an arithmetic number, because the mean of its divisors is an integer number (199959840).

Almost surely, 210220033142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220033142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797429760).

10220033142 is an abundant number, since it is smaller than the sum of its proper divisors (15374826378).

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

10220033142 is a wasteful number, since it uses less digits than its factorization.

10220033142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10220033142 its reverse (24133002201), we get a palindrome (34353035343).

The spelling of 10220033142 in words is "ten billion, two hundred twenty million, thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 73 99 106 146 159 198 219 297 318 438 477 583 594 657 803 954 1166 1314 1431 1606 1749 1971 2409 2862 3498 3869 3942 4447 4818 5247 7227 7738 8894 10494 11607 13341 14454 15741 21681 23214 26682 31482 34821 40023 42559 43362 48917 69642 80046 85118 97834 104463 120069 127677 146751 208926 235691 240138 255354 293502 324631 383031 440253 471382 649262 707073 766062 880506 973893 1149093 1320759 1414146 1947786 2121219 2298186 2592601 2641518 2921679 3570941 4242438 5185202 5843358 6363657 7141882 7777803 8765037 10712823 12727314 15555606 17205443 17530074 21425646 23333409 32138469 34410886 46666818 51616329 64276938 70000227 96415407 103232658 140000454 154848987 189259873 192830814 309697974 378519746 464546961 567779619 929093922 1135559238 1703338857 3406677714 5110016571 10220033142