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1030231311100 = 2252233143336029
BaseRepresentation
bin11101111110111101001…
…00100100001011111100
310122111012120222011000221
432333132210210023330
5113334403203423400
62105140504231124
7134301043441165
oct16773644441374
93574176864027
101030231311100
11367a11798422
121477ba46b4a4
13761c555b8c4
1437c134a476c
151bbea831c1a
hexefde9242fc

1030231311100 has 144 divisors (see below), whose sum is σ = 2464062289920. Its totient is φ = 372587846400.

The previous prime is 1030231311079. The next prime is 1030231311113. The reversal of 1030231311100 is 11131320301.

It is a super-2 number, since 2×10302313111002 (a number of 25 digits) contains 22 as substring.

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, 2897886 + ... + 3233914.

It is an arithmetic number, because the mean of its divisors is an integer number (17111543680).

Almost surely, 21030231311100 is an apocalyptic number.

1030231311100 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 1030231311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232031144960).

1030231311100 is an abundant number, since it is smaller than the sum of its proper divisors (1433830978820).

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

1030231311100 is a wasteful number, since it uses less digits than its factorization.

1030231311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336140 (or 336133 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1030231311100 its reverse (11131320301), we get a palindrome (1041362631401).

The spelling of 1030231311100 in words is "one trillion, thirty billion, two hundred thirty-one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 43 46 50 62 86 92 100 115 124 155 172 215 230 310 430 460 575 620 713 775 860 989 1075 1150 1333 1426 1550 1978 2150 2300 2666 2852 3100 3565 3956 4300 4945 5332 6665 7130 9890 13330 14260 17825 19780 24725 26660 30659 33325 35650 49450 61318 66650 71300 98900 122636 133300 153295 306590 336029 613180 672058 766475 1344116 1532950 1680145 3065900 3360290 6720580 7728667 8400725 10416899 14449247 15457334 16801450 20833798 28898494 30914668 33602900 38643335 41667596 52084495 57796988 72246235 77286670 104168990 144492470 154573340 193216675 208337980 239588677 260422475 288984940 332332681 361231175 386433350 447926657 479177354 520844950 664665362 722462350 772866700 895853314 958354708 1041689900 1197943385 1329330724 1444924700 1661663405 1791706628 2239633285 2395886770 3323326810 4479266570 4791773540 5989716925 6646653620 8308317025 8958533140 10302313111 11198166425 11979433850 16616634050 20604626222 22396332850 23958867700 33233268100 41209252444 44792665700 51511565555 103023131110 206046262220 257557827775 515115655550 1030231311100