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10212225144 = 23311431635519
BaseRepresentation
bin10011000001011001…
…00011000001111000
3222100201002210021220
421200230203001320
5131403312201034
64405203232040
7511032324102
oct114054430170
928321083256
1010212225144
1143705979a0
121b90078620
13c69965094
146cc408572
153eb82e749
hex260b23078

10212225144 has 128 divisors (see below), whose sum is σ = 28679270400. Its totient is φ = 3003557760.

The previous prime is 10212225143. The next prime is 10212225181. The reversal of 10212225144 is 44152221201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212225143) 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, 1847617 + ... + 1853135.

It is an arithmetic number, because the mean of its divisors is an integer number (224056800).

Almost surely, 210212225144 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 10212225144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339635200).

10212225144 is an abundant number, since it is smaller than the sum of its proper divisors (18467045256).

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

10212225144 is a wasteful number, since it uses less digits than its factorization.

10212225144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10212225144 its reverse (44152221201), we get a palindrome (54364446345).

The spelling of 10212225144 in words is "ten billion, two hundred twelve million, two hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 163 172 258 264 326 344 473 489 516 652 946 978 1032 1304 1419 1793 1892 1956 2838 3586 3784 3912 5379 5519 5676 7009 7172 10758 11038 11352 14018 14344 16557 21027 21516 22076 28036 33114 42054 43032 44152 56072 60709 66228 77099 84108 121418 132456 154198 168216 182127 231297 237317 242836 308396 364254 462594 474634 485672 616792 711951 728508 899597 925188 949268 1423902 1457016 1799194 1850376 1898536 2610487 2698791 2847804 3598388 5220974 5397582 5695608 7196776 7831461 9895567 10441948 10795164 15662922 19791134 20883896 21590328 29686701 31325844 38682671 39582268 59373402 62651688 77365342 79164536 116048013 118746804 154730684 232096026 237493608 309461368 425509381 464192052 851018762 928384104 1276528143 1702037524 2553056286 3404075048 5106112572 10212225144