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10301112240 = 2435411278243
BaseRepresentation
bin10011001011111111…
…00111111110110000
3222120220100201110120
421211333213332300
5132044041042430
64422100330240
7513162003126
oct114577477660
928526321416
1010301112240
114406789101
121bb59a3980
13c821b75b3
146da145916
1540453b610
hex265fe7fb0

10301112240 has 160 divisors (see below), whose sum is σ = 32973889536. Its totient is φ = 2658539520.

The previous prime is 10301112203. The next prime is 10301112251. The reversal of 10301112240 is 4221110301.

It is a super-2 number, since 2×103011122402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245559 + ... + 1253801.

Almost surely, 210301112240 is an apocalyptic number.

10301112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16486944768).

10301112240 is an abundant number, since it is smaller than the sum of its proper divisors (22672777296).

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

10301112240 is a wasteful number, since it uses less digits than its factorization.

10301112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10301112240 its reverse (4221110301), we get a palindrome (14522222541).

The spelling of 10301112240 in words is "ten billion, three hundred one million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 127 164 205 240 246 254 328 381 410 492 508 615 635 656 762 820 984 1016 1230 1270 1524 1640 1905 1968 2032 2460 2540 3048 3280 3810 4920 5080 5207 6096 7620 8243 9840 10160 10414 15240 15621 16486 20828 24729 26035 30480 31242 32972 41215 41656 49458 52070 62484 65944 78105 82430 83312 98916 104140 123645 124968 131888 156210 164860 197832 208280 247290 249936 312420 329720 337963 395664 416560 494580 624840 659440 675926 989160 1013889 1046861 1249680 1351852 1689815 1978320 2027778 2093722 2703704 3140583 3379630 4055556 4187444 5069445 5234305 5407408 6281166 6759260 8111112 8374888 10138890 10468610 12562332 13518520 15702915 16222224 16749776 20277780 20937220 25124664 27037040 31405830 40555560 41874440 42921301 50249328 62811660 81111120 83748880 85842602 125623320 128763903 171685204 214606505 251246640 257527806 343370408 429213010 515055612 643819515 686740816 858426020 1030111224 1287639030 1716852040 2060222448 2575278060 3433704080 5150556120 10301112240