Search a number
-
+
10301112223110 = 23351716071396547
BaseRepresentation
bin1001010111100110101000…
…1000101000010110000110
31100110202222020000001212000
42111321222020220112012
52322233134212114420
633524133213010130
72112142110121632
oct225715210502606
940422866001760
1010301112223110
11331174a333a75
1211a4511783946
135995105274c7
1427880dc71dc2
1512ce5009e690
hex95e6a228586

10301112223110 has 128 divisors (see below), whose sum is σ = 29103613424640. Its totient is φ = 2583766513152.

The previous prime is 10301112223097. The next prime is 10301112223121. The reversal of 10301112223110 is 1132221110301.

10301112223110 is a `hidden beast` number, since 1 + 0 + 301 + 1 + 122 + 231 + 10 = 666.

It is a super-2 number, since 2×103011122231102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6677857 + ... + 8074403.

It is an arithmetic number, because the mean of its divisors is an integer number (227371979880).

Almost surely, 210301112223110 is an apocalyptic number.

10301112223110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301112223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551806712320).

10301112223110 is an abundant number, since it is smaller than the sum of its proper divisors (18802501201530).

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

10301112223110 is a wasteful number, since it uses less digits than its factorization.

10301112223110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398187 (or 1398181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10301112223110 its reverse (1132221110301), we get a palindrome (11433333333411).

The spelling of 10301112223110 in words is "ten trillion, three hundred one billion, one hundred twelve million, two hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 1607 2295 3214 4590 4821 8035 9642 14463 16070 24105 27319 28926 43389 48210 54638 72315 81957 86778 136595 144630 163914 216945 245871 273190 409785 433890 491742 737613 819570 1229355 1396547 1475226 2458710 2793094 3688065 4189641 6982735 7376130 8379282 12568923 13965470 20948205 23741299 25137846 37706769 41896410 47482598 62844615 71223897 75413538 118706495 125689230 142447794 188533845 213671691 237412990 356119485 377067690 427343382 641015073 712238970 1068358455 1282030146 2136716910 2244251029 3205075365 4488502058 6410150730 6732753087 11221255145 13465506174 20198259261 22442510290 33663765435 38152267493 40396518522 60594777783 67327530870 76304534986 100991296305 114456802479 121189555566 190761337465 201982592610 228913604958 302973888915 343370407437 381522674930 572284012395 605947777830 686740814874 1030111222311 1144568024790 1716852037185 2060222444622 3433704074370 5150556111555 10301112223110