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1031310102000 = 24353374645541
BaseRepresentation
bin11110000000111101101…
…11110100110111110000
310122120222202220101221110
433000132313310313300
5113344110341231000
62105435522353320
7134336553141153
oct17003667646760
93576882811843
101031310102000
11368415736a52
12147a5b7bb840
1376337bc4a09
1437cb6881c9a
151bc603c8850
hexf01edf4df0

1031310102000 has 160 divisors (see below), whose sum is σ = 3414807849024. Its totient is φ = 267583104000.

The previous prime is 1031310101981. The next prime is 1031310102029. The reversal of 1031310102000 is 2010131301.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2100771 + ... + 2544770.

Almost surely, 21031310102000 is an apocalyptic number.

1031310102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031310102000 is an abundant number, since it is smaller than the sum of its proper divisors (2383497747024).

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

1031310102000 is a wasteful number, since it uses less digits than its factorization.

1031310102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645604 (or 4645588 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1031310102000 its reverse (2010131301), we get a palindrome (1033320233301).

The spelling of 1031310102000 in words is "one trillion, thirty-one billion, three hundred ten million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000 4645541 9291082 13936623 18582164 23227705 27873246 37164328 46455410 55746492 69683115 74328656 92910820 111492984 116138525 139366230 171885017 185821640 222985968 232277050 278732460 343770034 348415575 371643280 464554100 515655051 557464920 580692625 687540068 696831150 859425085 929108200 1031310102 1114929840 1161385250 1375080136 1393662300 1718850170 1742077875 1858216400 2062620204 2322770500 2578275255 2750160272 2787324600 3437700340 3484155750 4125240408 4297125425 4645541000 5156550510 5574649200 6875400680 6968311500 8250480816 8594250850 9291082000 10313101020 12891376275 13750801360 13936623000 17188501700 20626202040 21485627125 25782752550 27873246000 34377003400 41252404080 42971254250 51565505100 64456881375 68754006800 85942508500 103131010200 128913762750 171885017000 206262020400 257827525500 343770034000 515655051000 1031310102000