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1031130122000 = 245311311511921
BaseRepresentation
bin11110000000101000010…
…01010000011100010000
310122120112020020110210112
433000110021100130100
5113343223302401000
62105410013020452
7134332236265136
oct17002411203420
93576466213715
101031130122000
11368333088350
12147a0b484728
1376309829c84
1437c9a9d1756
151bc4e6c6235
hexf014250710

1031130122000 has 160 divisors (see below), whose sum is σ = 2807675440128. Its totient is φ = 362860800000.

The previous prime is 1031130121981. The next prime is 1031130122039. The reversal of 1031130122000 is 2210311301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73961 + ... + 1437960.

Almost surely, 21031130122000 is an apocalyptic number.

1031130122000 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 1031130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403837720064).

1031130122000 is an abundant number, since it is smaller than the sum of its proper divisors (1776545318128).

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

1031130122000 is a wasteful number, since it uses less digits than its factorization.

1031130122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511986 (or 1511970 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1031130122000 its reverse (2210311301), we get a palindrome (1033340433301).

It can be divided in two parts, 10311301 and 22000, that added together give a palindrome (10333301).

The spelling of 1031130122000 in words is "one trillion, thirty-one billion, one hundred thirty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 31000 34100 42625 62000 68200 85250 136400 170500 341000 682000 1511921 3023842 6047684 7559605 12095368 15119210 16631131 24190736 30238420 33262262 37798025 46869551 60476840 66524524 75596050 83155655 93739102 120953680 133049048 151192100 166311310 187478204 188990125 234347755 266098096 302384200 332622620 374956408 377980250 415778275 468695510 515565061 604768400 665245240 749912816 755960500 831556550 937391020 1031130122 1171738775 1330490480 1511921000 1663113100 1874782040 2062260244 2078891375 2343477550 2577825305 3023842000 3326226200 3749564080 4124520488 4157782750 4686955100 5155650610 5858693875 6652452400 8249040976 8315565500 9373910200 10311301220 11717387750 12889126525 16631131000 18747820400 20622602440 23434775500 25778253050 33262262000 41245204880 46869551000 51556506100 64445632625 93739102000 103113012200 128891265250 206226024400 257782530500 515565061000 1031130122000