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1030111101012 = 2237101922713159
BaseRepresentation
bin11101111110101110110…
…10000000000001010100
310122110220012202211210110
432333113122000001110
5113334131420213022
62105120531523020
7134265053613360
oct16772732000124
93573805684713
101030111101012
1136795a952844
12147786159470
13761a6690186
1437c015322a0
151bbdeed900c
hexefd7680054

1030111101012 has 96 divisors (see below), whose sum is σ = 2774672087040. Its totient is φ = 291349699200.

The previous prime is 1030111101001. The next prime is 1030111101017. The reversal of 1030111101012 is 2101011110301.

It is a super-2 number, since 2×10301111010122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030111101017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78275289 + ... + 78288447.

It is an arithmetic number, because the mean of its divisors is an integer number (28902834240).

Almost surely, 21030111101012 is an apocalyptic number.

1030111101012 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 1030111101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387336043520).

1030111101012 is an abundant number, since it is smaller than the sum of its proper divisors (1744560986028).

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

1030111101012 is a wasteful number, since it uses less digits than its factorization.

1030111101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22501 (or 22499 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1030111101012 its reverse (2101011110301), we get a palindrome (3131122211313).

The spelling of 1030111101012 in words is "one trillion, thirty billion, one hundred eleven million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 9227 13159 18454 26318 27681 36908 39477 52636 55362 64589 78954 92113 110724 129178 157908 184226 193767 258356 276339 368452 387534 552678 775068 931927 1105356 1329059 1863854 2658118 2795781 3727708 3987177 5316236 5591562 6523489 7974354 9303413 11183124 13046978 15948708 18606826 19570467 26093956 27910239 37213652 39140934 55820478 78281868 111640956 121418093 242836186 364254279 485672372 728508558 849926651 1457017116 1699853302 2549779953 3399706604 5099559906 10199119812 12263227393 24526454786 36789682179 49052909572 73579364358 85842591751 147158728716 171685183502 257527775253 343370367004 515055550506 1030111101012