Search a number
-
+
2101000212012 = 22313127881120371
BaseRepresentation
bin11110100100101101010…
…111110000111000101100
321102212001022120020011010
4132210231113300320230
5233410322023241022
64245104114025220
7304535513066412
oct36445527607054
97385038506133
102101000212012
11740035934a89
1229b230878210
1312317b356630
14739906b52b2
15399b9e3b50c
hex1e92d5f0e2c

2101000212012 has 96 divisors (see below), whose sum is σ = 5327090786304. Its totient is φ = 640638028800.

The previous prime is 2101000211963. The next prime is 2101000212029. The reversal of 2101000212012 is 2102120001012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17394187 + ... + 17514557.

It is an arithmetic number, because the mean of its divisors is an integer number (55490529024).

Almost surely, 22101000212012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101000212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663545393152).

2101000212012 is an abundant number, since it is smaller than the sum of its proper divisors (3226090574292).

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

2101000212012 is a wasteful number, since it uses less digits than its factorization.

2101000212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121399 (or 121397 counting only the distinct ones).

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

Adding to 2101000212012 its reverse (2102120001012), we get a palindrome (4203120213024).

The spelling of 2101000212012 in words is "two trillion, one hundred one billion, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 881 1524 1651 1762 2643 3302 3524 4953 5286 6604 9906 10572 11453 19812 22906 34359 45812 68718 111887 120371 137436 223774 240742 335661 361113 447548 481484 671322 722226 1342644 1444452 1454531 1564823 2909062 3129646 4363593 4694469 5818124 6259292 8727186 9388938 15287117 17454372 18777876 30574234 45861351 61148468 91722702 106046851 183445404 198732521 212093702 318140553 397465042 424187404 596197563 636281106 794930084 1192395126 1272562212 1378609063 2384790252 2757218126 4135827189 5514436252 8271654378 13467950077 16543308756 26935900154 40403850231 53871800308 80807700462 161615400924 175083351001 350166702002 525250053003 700333404004 1050500106006 2101000212012