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10312311144 = 2332937419767
BaseRepresentation
bin10011001101010100…
…10110000101101000
3222121200102200110210
421212222112011220
5132104422424034
64423140341120
7513356125032
oct114652260550
928550380423
1010312311144
114412037aa3
121bb96a47a0
13c84608a75
146db81cc52
154054ee8e9
hex266a96168

10312311144 has 128 divisors (see below), whose sum is σ = 28061510400. Its totient is φ = 3150120960.

The previous prime is 10312311143. The next prime is 10312311241. The reversal of 10312311144 is 44111321301.

It is a super-2 number, since 2×103123111442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10312311144.

It is not an unprimeable number, because it can be changed into a prime (10312311143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050949 + ... + 1060715.

It is an arithmetic number, because the mean of its divisors is an integer number (219230550).

Almost surely, 210312311144 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 10312311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030755200).

10312311144 is an abundant number, since it is smaller than the sum of its proper divisors (17749199256).

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

10312311144 is a wasteful number, since it uses less digits than its factorization.

10312311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10312311144 its reverse (44111321301), we get a palindrome (54423632445).

The spelling of 10312311144 in words is "ten billion, three hundred twelve million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 37 41 58 74 82 87 111 116 123 148 164 174 222 232 246 296 328 348 444 492 696 888 984 1073 1189 1517 2146 2378 3034 3219 3567 4292 4551 4756 6068 6438 7134 8584 9102 9512 9767 12136 12876 14268 18204 19534 25752 28536 29301 36408 39068 43993 58602 78136 87986 117204 131979 175972 234408 263958 283243 351944 361379 400447 527916 566486 722758 800894 849729 1055832 1084137 1132972 1201341 1445516 1601788 1699458 2168274 2265944 2402682 2891032 3203576 3398916 4336548 4805364 6797832 8673096 9610728 10479991 11612963 14816539 20959982 23225926 29633078 31439973 34838889 41919964 44449617 46451852 59266156 62879946 69677778 83839928 88899234 92903704 118532312 125759892 139355556 177798468 251519784 278711112 355596936 429679631 859359262 1289038893 1718718524 2578077786 3437437048 5156155572 10312311144