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1001030110000 = 245443254139
BaseRepresentation
bin11101001000100100000…
…10110100101100110000
310112200211111202102202021
432210102002310230300
5112400102202010000
62043511125201224
7132215313354124
oct16442202645460
93480744672667
101001030110000
11356597444878
1214200ab60214
1373520818a9b
1436643191584
151b08bde411a
hexe9120b4b30

1001030110000 has 150 divisors (see below), whose sum is σ = 2481313241220. Its totient is φ = 391092912000.

The previous prime is 1001030109991. The next prime is 1001030110033. The reversal of 1001030110000 is 110301001.

It is a happy number.

It is a super-2 number, since 2×10010301100002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18462931 + ... + 18517069.

Almost surely, 21001030110000 is an apocalyptic number.

1001030110000 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 1001030110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240656620610).

1001030110000 is an abundant number, since it is smaller than the sum of its proper divisors (1480283131220).

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

1001030110000 is an frugal number, since it uses more digits than its factorization.

1001030110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54253 (or 54189 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1001030110000 its reverse (110301001), we get a palindrome (1001140411001).

The spelling of 1001030110000 in words is "one trillion, one billion, thirty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 1849 2000 2150 2500 3440 3698 4300 5000 5375 7396 8600 9245 10000 10750 14792 17200 18490 21500 26875 29584 36980 43000 46225 53750 54139 73960 86000 92450 107500 108278 147920 184900 215000 216556 231125 270695 369800 430000 433112 462250 541390 739600 866224 924500 1082780 1155625 1353475 1849000 2165560 2311250 2327977 2706950 3698000 4331120 4622500 4655954 5413900 6767375 9245000 9311908 10827800 11639885 13534750 18490000 18623816 21655600 23279770 27069500 33836875 37247632 46559540 54139000 58199425 67673750 93119080 100103011 108278000 116398850 135347500 186238160 200206022 232797700 270695000 290997125 400412044 465595400 500515055 541390000 581994250 800824088 931190800 1001030110 1163988500 1454985625 1601648176 2002060220 2327977000 2502575275 2909971250 4004120440 4655954000 5005150550 5819942500 8008240880 10010301100 11639885000 12512876375 20020602200 23279770000 25025752750 40041204400 50051505500 62564381875 100103011000 125128763750 200206022000 250257527500 500515055000 1001030110000