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1001011011030 = 23452950818387
BaseRepresentation
bin11101001000100001110…
…01111101110111010110
310112200210011211002220000
432210100321331313112
5112400032304323110
62043505203552130
7132214662130032
oct16442071756726
93480704732800
101001011011030
1135658768a4a8
1214200468b646
137351988c814
143664081d1c2
151b08a3c01c0
hexe910e7ddd6

1001011011030 has 160 divisors (see below), whose sum is σ = 2785301497440. Its totient is φ = 257650122240.

The previous prime is 1001011011029. The next prime is 1001011011031. The reversal of 1001011011030 is 301101101001.

It is an interprime number because it is at equal distance from previous prime (1001011011029) and next prime (1001011011031).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119348497 + ... + 119356883.

It is an arithmetic number, because the mean of its divisors is an integer number (17408134359).

Almost surely, 21001011011030 is an apocalyptic number.

1001011011030 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 1001011011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392650748720).

1001011011030 is an abundant number, since it is smaller than the sum of its proper divisors (1784290486410).

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

1001011011030 is a wasteful number, since it uses less digits than its factorization.

1001011011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1001011011030 its reverse (301101101001), we get a palindrome (1302112112031).

The spelling of 1001011011030 in words is "one trillion, one billion, eleven million, eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 5081 7830 8387 10162 11745 15243 16774 23490 25161 25405 30486 41935 45729 50322 50810 75483 76215 83870 91458 125805 137187 147349 150966 152430 226449 228645 243223 251610 274374 294698 377415 411561 442047 452898 457290 486446 679347 685935 729669 736745 754830 823122 884094 1132245 1216115 1326141 1358694 1371870 1459338 1473490 2057805 2189007 2210235 2264490 2432230 2652282 3396735 3648345 3978423 4115610 4378014 4420470 6567021 6630705 6793470 7296690 7956846 10945035 11935269 13134042 13261410 19701063 19892115 21890070 23870538 32835105 39402126 39784230 42614347 59676345 65670210 85228694 98505315 119352690 127843041 197010630 213071735 255686082 383529123 426143470 639215205 767058246 1150587369 1235816063 1278430410 1917645615 2301174738 2471632126 3451762107 3707448189 3835291230 5752936845 6179080315 6903524214 7414896378 11122344567 11505873690 12358160630 17258810535 18537240945 22244689134 33367033701 34517621070 37074481890 55611722835 66734067402 100101101103 111223445670 166835168505 200202202206 333670337010 500505505515 1001011011030