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10212231024 = 2432178350261
BaseRepresentation
bin10011000001011001…
…00100011101110000
3222100201010002100200
421200230210131300
5131403312343044
64405203315200
7511032350202
oct114054443560
928321102320
1010212231024
1143705a1356
121b9007bb00
13c69967968
146cc40a772
153eb831369
hex260b24770

10212231024 has 120 divisors (see below), whose sum is σ = 30626446032. Its totient is φ = 3165173760.

The previous prime is 10212231023. The next prime is 10212231031. The reversal of 10212231024 is 42013221201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10212230988 and 10212231006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212231023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178054 + ... + 228314.

Almost surely, 210212231024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212231024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313223016).

10212231024 is an abundant number, since it is smaller than the sum of its proper divisors (20414215008).

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

10212231024 is a wasteful number, since it uses less digits than its factorization.

10212231024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50375 (or 50366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10212231024 its reverse (42013221201), we get a palindrome (52225452225).

The spelling of 10212231024 in words is "ten billion, two hundred twelve million, two hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 83 102 136 144 153 166 204 249 272 306 332 408 498 612 664 747 816 996 1224 1328 1411 1494 1992 2448 2822 2988 3984 4233 5644 5976 8466 11288 11952 12699 16932 22576 25398 33864 50261 50796 67728 100522 101592 150783 201044 203184 301566 402088 452349 603132 804176 854437 904698 1206264 1708874 1809396 2412528 2563311 3417748 3618792 4171663 5126622 6835496 7237584 7689933 8343326 10253244 12514989 13670992 15379866 16686652 20506488 25029978 30759732 33373304 37544967 41012976 50059956 61519464 66746608 70918271 75089934 100119912 123038928 141836542 150179868 200239824 212754813 283673084 300359736 425509626 567346168 600719472 638264439 851019252 1134692336 1276528878 1702038504 2553057756 3404077008 5106115512 10212231024