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1401030110100 = 2235241151754337
BaseRepresentation
bin10100011000110011111…
…001101110101110010100
311221221022012022210212210
4110120303321232232110
5140423302202010400
62551342505313420
7203135555305335
oct24306371565624
94857265283783
101401030110100
114a019aa77255
121a7642195870
13a216915718a
144bb4b35428c
152669d7dc950
hex14633e6eb94

1401030110100 has 144 divisors (see below), whose sum is σ = 4180022211456. Its totient is φ = 362081280000.

The previous prime is 1401030110089. The next prime is 1401030110101. The reversal of 1401030110100 is 10110301041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401030110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480132 + ... + 2234468.

It is an arithmetic number, because the mean of its divisors is an integer number (29027932024).

Almost surely, 21401030110100 is an apocalyptic number.

1401030110100 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 1401030110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090011105728).

1401030110100 is an abundant number, since it is smaller than the sum of its proper divisors (2778992101356).

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

1401030110100 is a wasteful number, since it uses less digits than its factorization.

1401030110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754546 (or 754539 counting only the distinct ones).

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

Adding to 1401030110100 its reverse (10110301041), we get a palindrome (1411140411141).

The spelling of 1401030110100 in words is "one trillion, four hundred one billion, thirty million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 151 164 205 246 300 302 410 453 492 604 615 755 820 906 1025 1230 1510 1812 2050 2265 2460 3020 3075 3775 4100 4530 6150 6191 7550 9060 11325 12300 12382 15100 18573 22650 24764 30955 37146 45300 61910 74292 92865 123820 154775 185730 309550 371460 464325 619100 754337 928650 1508674 1857300 2263011 3017348 3771685 4526022 7543370 9052044 11315055 15086740 18858425 22630110 30927817 37716850 45260220 56575275 61855634 75433700 92783451 113150550 113904887 123711268 154639085 185566902 226301100 227809774 309278170 341714661 371133804 455619548 463917255 569524435 618556340 683429322 773195425 927834510 1139048870 1366858644 1546390850 1708573305 1855669020 2278097740 2319586275 2847622175 3092781700 3417146610 4639172550 4670100367 5695244350 6834293220 8542866525 9278345100 9340200734 11390488700 14010301101 17085733050 18680401468 23350501835 28020602202 34171466100 46701003670 56041204404 70051505505 93402007340 116752509175 140103011010 233505018350 280206022020 350257527525 467010036700 700515055050 1401030110100