Search a number
-
+
1030131013212 = 22327191371570427
BaseRepresentation
bin11101111110110001001…
…01111101011001011100
310122110221121020111012100
432333120211331121130
5113334202014410322
62105122522405100
7134265415065420
oct16773045753134
93573847214170
101030131013212
11367970113104
12147790960790
13761aa842642
1437c04036b80
151bbe1b1ddac
hexefd897d65c

1030131013212 has 144 divisors (see below), whose sum is σ = 3155429571840. Its totient is φ = 276797005056.

The previous prime is 1030131013207. The next prime is 1030131013279. The reversal of 1030131013212 is 2123101310301.

1030131013212 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 310 + 1 + 321 + 2 = 666.

It is a super-2 number, since 2×10301310132122 (a number of 25 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129258 + ... + 1441169.

It is an arithmetic number, because the mean of its divisors is an integer number (21912705360).

Almost surely, 21030131013212 is an apocalyptic number.

1030131013212 is a gapful number since it is divisible by the number (12) 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 1030131013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577714785920).

1030131013212 is an abundant number, since it is smaller than the sum of its proper divisors (2125298558628).

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

1030131013212 is a wasteful number, since it uses less digits than its factorization.

1030131013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570600 (or 1570595 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1030131013212 its reverse (2123101310301), we get a palindrome (3153232323513).

The spelling of 1030131013212 in words is "one trillion, thirty billion, one hundred thirty-one million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 137 171 228 252 266 274 342 399 411 532 548 684 798 822 959 1197 1233 1596 1644 1918 2394 2466 2603 2877 3836 4788 4932 5206 5754 7809 8631 10412 11508 15618 17262 18221 23427 31236 34524 36442 46854 54663 72884 93708 109326 163989 218652 327978 655956 1570427 3140854 4711281 6281708 9422562 10992989 14133843 18845124 21985978 28267686 29838113 32978967 43971956 56535372 59676226 65957934 89514339 98936901 119352452 131915868 179028678 197873802 208866791 215148499 268543017 358057356 395747604 417733582 430296998 537086034 626600373 645445497 835467164 860593996 1074172068 1253200746 1290890994 1506039493 1879801119 1936336491 2506401492 2581781988 3012078986 3759602238 3872672982 4087821481 4518118479 6024157972 7519204476 7745345964 8175642962 9036236958 12263464443 13554355437 16351285924 18072473916 24526928886 27108710874 28614750367 36790393329 49053857772 54217421748 57229500734 73580786658 85844251101 114459001468 147161573316 171688502202 257532753303 343377004404 515065506606 1030131013212