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1001101110200 = 235217319498113
BaseRepresentation
bin11101001000101100100…
…01101010101110111000
310112201000110100121201022
432210112101222232320
5112400223341011300
62043522143042012
7132220135014602
oct16442621525670
93481013317638
101001101110200
11356623529324
1214202a8a0308
1373532447939
143664c794172
151b09326b285
hexe91646abb8

1001101110200 has 96 divisors (see below), whose sum is σ = 2543974853760. Its totient is φ = 364727500800.

The previous prime is 1001101110167. The next prime is 1001101110283. The reversal of 1001101110200 is 20111011001.

It is a happy number.

1001101110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4643657 + ... + 4854456.

It is an arithmetic number, because the mean of its divisors is an integer number (26499738060).

Almost surely, 21001101110200 is an apocalyptic number.

1001101110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101110200 is an abundant number, since it is smaller than the sum of its proper divisors (1542873743560).

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

1001101110200 is a wasteful number, since it uses less digits than its factorization.

1001101110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498177 (or 9498168 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001101110200 its reverse (20111011001), we get a palindrome (1021212121201).

The spelling of 1001101110200 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 1054 1240 1550 1700 2108 2635 3100 3400 4216 5270 6200 10540 13175 21080 26350 52700 105400 9498113 18996226 37992452 47490565 75984904 94981130 161467921 189962260 237452825 294441503 322935842 379924520 474905650 588883006 645871684 807339605 949811300 1177766012 1291743368 1472207515 1614679210 1899622600 2355532024 2944415030 3229358420 4036698025 5005505551 5888830060 6458716840 7361037575 8073396050 10011011102 11777660120 14722075150 16146792100 20022022204 25027527755 29444150300 32293584200 40044044408 50055055510 58888300600 100110111020 125137638775 200220222040 250275277550 500550555100 1001101110200