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2107513212 = 2237197318089
BaseRepresentation
bin111110110011110…
…0001100101111100
312102212122202121220
41331213201211330
513304010410322
6545043153340
7103140365250
oct17547414574
95385582556
102107513212
119916aa962
124a9975850
1327781b84c
1415dc84260
15c504d55c
hex7d9e197c

2107513212 has 96 divisors (see below), whose sum is σ = 5997196800. Its totient is φ = 562609152.

The previous prime is 2107513183. The next prime is 2107513249. The reversal of 2107513212 is 2123157012.

It is a super-2 number, since 2×21075132122 = 8883223877509113888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107464 + ... + 125552.

It is an arithmetic number, because the mean of its divisors is an integer number (62470800).

Almost surely, 22107513212 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 2107513212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998598400).

2107513212 is an abundant number, since it is smaller than the sum of its proper divisors (3889683588).

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

2107513212 is a wasteful number, since it uses less digits than its factorization.

2107513212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18195 (or 18193 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2107513212 is about 45907.6596223332. The cubic root of 2107513212 is about 1282.1045318827.

The spelling of 2107513212 in words is "two billion, one hundred seven million, five hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 73 76 84 114 133 146 219 228 266 292 399 438 511 532 798 876 1022 1387 1533 1596 2044 2774 3066 4161 5548 6132 8322 9709 16644 18089 19418 29127 36178 38836 54267 58254 72356 108534 116508 126623 217068 253246 343691 379869 506492 687382 759738 1031073 1320497 1374764 1519476 2062146 2405837 2640994 3961491 4124292 4811674 5281988 7217511 7922982 9243479 9623348 14435022 15845964 18486958 25089443 27730437 28870044 36973916 50178886 55460874 75268329 100357772 110921748 150536658 175626101 301073316 351252202 526878303 702504404 1053756606 2107513212