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10213022144 = 261319762311
BaseRepresentation
bin10011000001011111…
…00101100111000000
3222100202121021120102
421200233211213000
5131404013202034
64405232301532
7511042153523
oct114057454700
928322537512
1010213022144
114370a91776
121b903a18a8
13c69b83a90
146cc574bba
153eb93a97e
hex260be59c0

10213022144 has 56 divisors (see below), whose sum is σ = 21936565728. Its totient is φ = 4689699840.

The previous prime is 10213022089. The next prime is 10213022167. The reversal of 10213022144 is 44122031201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132749 + ... + 195059.

It is an arithmetic number, because the mean of its divisors is an integer number (391724388).

Almost surely, 210213022144 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 10213022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968282864).

10213022144 is an abundant number, since it is smaller than the sum of its proper divisors (11723543584).

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

10213022144 is a wasteful number, since it uses less digits than its factorization.

10213022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62533 (or 62523 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10213022144 its reverse (44122031201), we get a palindrome (54335053345).

The spelling of 10213022144 in words is "ten billion, two hundred thirteen million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 197 208 394 416 788 832 1576 2561 3152 5122 6304 10244 12608 20488 40976 62311 81952 124622 163904 249244 498488 810043 996976 1620086 1993952 3240172 3987904 6480344 12275267 12960688 24550534 25921376 49101068 51842752 98202136 159578471 196404272 319156942 392808544 638313884 785617088 1276627768 2553255536 5106511072 10213022144