Search a number
-
+
2102000201112 = 2337210771165947
BaseRepresentation
bin11110100101101000111…
…110011010110110011000
321102221122000012221022110
4132211220332122312120
5233414344022413422
64245351235152320
7304602344623500
oct36455076326630
97387560187273
102102000201112
117404a9350659
1229b46b7456a0
131232aa58b866
1473a4741ca00
1539a27b1960c
hex1e968f9ad98

2102000201112 has 96 divisors (see below), whose sum is σ = 6113564147520. Its totient is φ = 600512109120.

The previous prime is 2102000201107. The next prime is 2102000201167. The reversal of 2102000201112 is 2111020002012.

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 23 ways as a sum of consecutive naturals, for example, 12583723 + ... + 12749669.

It is an arithmetic number, because the mean of its divisors is an integer number (63682959870).

Almost surely, 22102000201112 is an apocalyptic number.

It is an amenable number.

2102000201112 is an abundant number, since it is smaller than the sum of its proper divisors (4011563946408).

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

2102000201112 is a wasteful number, since it uses less digits than its factorization.

2102000201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176741 (or 176730 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102000201112 its reverse (2111020002012), we get a palindrome (4213020203124).

The spelling of 2102000201112 in words is "two trillion, one hundred two billion, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 10771 21542 32313 43084 64626 75397 86168 129252 150794 165947 226191 258504 301588 331894 452382 497841 527779 603176 663788 904764 995682 1055558 1161629 1327576 1583337 1809528 1991364 2111116 2323258 3166674 3484887 3982728 4222232 4646516 6333348 6969774 8131403 9293032 12666696 13939548 16262806 24394209 27879096 32525612 48788418 65051224 97576836 195153672 1787415137 3574830274 5362245411 7149660548 10724490822 12511905959 14299321096 21448981644 25023811918 37535717877 42897963288 50047623836 75071435754 87583341713 100095247672 150142871508 175166683426 262750025139 300285743016 350333366852 525500050278 700666733704 1051000100556 2102000201112